@article{3870,
abstract = {Games on graphs with omega-regular objectives provide a model for the control and synthesis of reactive systems. Every omega-regular objective can be decomposed into a safety part and a liveness part. The liveness part ensures that something good happens “eventually.” Two main strengths of the classical, infinite-limit formulation of liveness are robustness (independence from the granularity of transitions) and simplicity (abstraction of complicated time bounds). However, the classical liveness formulation suffers from the drawback that the time until something good happens may be unbounded. A stronger formulation of liveness, so-called finitary liveness, overcomes this drawback, while still retaining robustness and simplicity. Finitary liveness requires that there exists an unknown, fixed bound b such that something good happens within b transitions. While for one-shot liveness (reachability) objectives, classical and finitary liveness coincide, for repeated liveness (Buchi) objectives, the finitary formulation is strictly stronger. In this work we study games with finitary parity and Streett objectives. We prove the determinacy of these games, present algorithms for solving these games, and characterize the memory requirements of winning strategies. We show that finitary parity games can be solved in polynomial time, which is not known for infinitary parity games. For finitary Streett games, we give an EXPTIME algorithm and show that the problem is NP-hard. Our algorithms can be used, for example, for synthesizing controllers that do not let the response time of a system increase without bound.},
author = {Chatterjee, Krishnendu and Henzinger, Thomas A and Horn, Florian},
journal = {ACM Transactions on Computational Logic (TOCL)},
number = {1},
publisher = {ACM},
title = {{Finitary winning in omega-regular games}},
doi = {10.1145/1614431.1614432},
volume = {11},
year = {2009},
}
@inproceedings{3871,
abstract = {Nondeterministic weighted automata are finite automata with numerical weights oil transitions. They define quantitative languages 1, that assign to each word v; a real number L(w). The value of ail infinite word w is computed as the maximal value of all runs over w, and the value of a run as the supremum, limsup liminf, limit average, or discounted sum of the transition weights. We introduce probabilistic weighted antomata, in which the transitions are chosen in a randomized (rather than nondeterministic) fashion. Under almost-sure semantics (resp. positive semantics), the value of a word v) is the largest real v such that the runs over w have value at least v with probability I (resp. positive probability). We study the classical questions of automata theory for probabilistic weighted automata: emptiness and universality, expressiveness, and closure under various operations oil languages. For quantitative languages, emptiness university axe defined as whether the value of some (resp. every) word exceeds a given threshold. We prove some, of these questions to he decidable, and others undecidable. Regarding expressive power, we show that probabilities allow its to define a wide variety of new classes of quantitative languages except for discounted-sum automata, where probabilistic choice is no more expressive than nondeterminism. Finally we live ail almost complete picture of the closure of various classes of probabilistic weighted automata for the following, provide, is operations oil quantitative languages: maximum, sum. and numerical complement.},
author = {Chatterjee, Krishnendu and Doyen, Laurent and Henzinger, Thomas A},
location = {Bologna, Italy},
pages = {244 -- 258},
publisher = {Springer},
title = {{Probabilistic weighted automata}},
doi = {10.1007/978-3-642-04081-8_17},
volume = {5710},
year = {2009},
}
@article{1043,
abstract = {One possibility for the creation of ultracold, high phase space density quantum gases of molecules in the rovibronic ground state relies on first associating weakly-bound molecules from quantum-degenerate atomic gases on a Feshbach resonance and then transferring the molecules via several steps of coherent two-photon stimulated Raman adiabatic passage (STIRAP) into the rovibronic ground state. Here, in ultracold samples of Cs2 Feshbach molecules produced out of ultracold samples of Cs atoms, we observe several optical transitions to deeply-bound rovibrational levels of the excited 0 u+ molecular potentials with high resolution. At least one of these transitions, although rather weak, allows efficient STIRAP transfer into the deeply-bound vibrational level v = 73> of the singlet X 1Σg+ ground state potential, as recently demonstrated (J. G. Danzl, E. Haller, M. Gustavsson, M. J. Mark, R. Hart, N. Bouloufa, O. Dulieu, H. Ritsch, and H.-C. Nägerl, Science, 2008, 321, 1062). From this level, the rovibrational ground state v = 0, J = 0> can be reached with one more transfer step. In total, our results show that coherent ground state transfer for Cs2 is possible using a maximum of two successive two-photon STIRAP processes or one single four-photon STIRAP process.},
author = {Danzl, Johann G and Mark, Manfred and Haller, Elmar and Gustavsson, Mattias and Bouloufa, Nadia and Dulieu, Olivier and Ritsch, Helmut and Hart, Russell and Nägerl, Hanns},
journal = {Faraday Discussions},
pages = {283 -- 295},
publisher = {Royal Society of Chemistry},
title = {{Precision molecular spectroscopy for ground state transfer of molecular quantum gases}},
doi = {10.1039/b820542f},
volume = {142},
year = {2009},
}
@article{1038,
abstract = {One possible way to produce ultra-cold, high-phase-space-density quantum gases of molecules in the rovibronic ground state is given by molecule association from quantum-degenerate atomic gases on a Feshbach resonance and subsequent coherent optical multi-photon transfer into the rovibronic ground state. In ultra-cold samples of Cs2 molecules, we observe two-photon dark resonances that connect the intermediate rovibrational level |v=73,J=2 with the rovibrational ground state |v=0,J=0 of the singlet X 1 ∑ g + ground-state potential. For precise dark resonance spectroscopy we exploit the fact that it is possible to efficiently populate the level |v=73,J=2 by two-photon transfer from the dissociation threshold with the stimulated Raman adiabatic passage (STIRAP) technique. We find that at least one of the two-photon resonances is sufficiently strong to allow future implementation of coherent STIRAP transfer of a molecular quantum gas to the rovibrational ground state |v=0,J=0.},
author = {Mark, Manfred and Danzl, Johann G and Haller, Elmar and Gustavsson, Mattias and Bouloufa, Nadia and Dulieu, Olivier and Salami, Houssam and Bergeman, Thomas and Ritsch, Helmut and Hart, Russell and Nägerl, Hanns},
journal = {Applied Physics B: Lasers and Optics},
number = {2},
pages = {219 -- 225},
publisher = {Springer},
title = {{Dark resonances for ground-state transfer of molecular quantum gases}},
doi = {10.1007/s00340-009-3407-1},
volume = {95},
year = {2009},
}
@article{1040,
abstract = {Ultracold atomic physics offers myriad possibilities to study strongly correlated many-body systems in lower dimensions. Typically, only ground-state phases are accessible. Using a tunable quantum gas of bosonic cesium atoms, we realized and controlled in one-dimensional geometry a highly excited quantum phase that is stabilized in the presence of attractive interactions by maintaining and strengthening quantum correlations across a confinement-induced resonance. We diagnosed the crossover from repulsive to attractive interactions in terms of the stiffness and energy of the system. Our results open up the experimental study of metastable, excited, many-body phases with strong correlations and their dynamical properties.},
author = {Haller, Elmar and Gustavsson, Mattias and Mark, Manfred and Danzl, Johann G and Hart, Russell and Pupillo, Guido and Nägerl, Hanns},
journal = {Science},
number = {5945},
pages = {1224 -- 1227},
publisher = {American Association for the Advancement of Science},
title = {{Realization of an excited, strongly correlated quantum gas Phase}},
doi = {10.1126/science.1175850},
volume = {325},
year = {2009},
}
@article{1041,
abstract = {We demonstrate efficient transfer of ultracold molecules into a deeply bound rovibrational level of the singlet ground state potential in the presence of an optical lattice. The overall molecule creation efficiency is 25%, and the transfer efficiency to the rovibrational level |v = 73, J = 2) is above 80%. We find that the molecules in |v = 73, J = 2) are trapped in the optical lattice, and that the lifetime in the lattice is limited by optical excitation by the lattice light. The molecule trapping time for a lattice depth of 15 atomic recoil energies is about 20 ms. We determine the trapping frequency by the lattice phase and amplitude modulation technique. It will now be possible to transfer the molecules to the rovibrational ground state |v = 0, J = 0) in the presence of the optical lattice.},
author = {Danzl, Johann G and Mark, Manfred and Haller, Elmar and Gustavsson, Mattias and Hart, Russell and Liem, Andreas and Zellmer, Holger and Nägerl, Hanns},
journal = {New Journal of Physics},
publisher = {IOP Publishing Ltd.},
title = {{Deeply bound ultracold molecules in an optical lattice}},
doi = {10.1088/1367-2630/11/5/055036},
volume = {11},
year = {2009},
}
@article{2120,
abstract = {We consider the linear stochastic Cauchy problem dX (t) =AX (t) dt +B dWH (t), t≥ 0, where A generates a C0-semigroup on a Banach space E, WH is a cylindrical Brownian motion over a Hilbert space H, and B: H → E is a bounded operator. Assuming the existence of a unique minimal invariant measure μ∞, let Lp denote the realization of the Ornstein-Uhlenbeck operator associated with this problem in Lp (E, μ∞). Under suitable assumptions concerning the invariance of the range of B under the semigroup generated by A, we prove the following domain inclusions, valid for 1 < p ≤ 2: Image omitted. Here WHk, p (E, μinfin; denotes the kth order Sobolev space of functions with Fréchet derivatives up to order k in the direction of H. No symmetry assumptions are made on L p.},
author = {Jan Maas and van Neerven, Jan M},
journal = {Infinite Dimensional Analysis, Quantum Probability and Related Topics},
number = {4},
pages = {603 -- 626},
publisher = {World Scientific Publishing},
title = {{On the domain of non-symmetric Ornstein-Uhlenbeck operators in banach spaces}},
doi = {10.1142/S0219025708003245},
volume = {11},
year = {2008},
}
@article{2121,
abstract = {Let H be a separable real Hubert space and let double struck F sign = (ℱt)t∈[0,T] be the augmented filtration generated by an H-cylindrical Brownian motion (WH(t))t∈[0,T] on a probability space (Ω, ℱ ℙ). We prove that if E is a UMD Banach space, 1 ≤ p < ∞, and F ∈ double struck D sign1,p(Ω E) is ℱT-measurable, then F = double struck E sign(F) + ∫0T Pdouble struck F sign(DF) dW H, where D is the Malliavin derivative of F and P double struck F sign is the projection onto the F-adapted elements in a suitable Banach space of Lp-stochastically integrable ℒ(H, E)-valued processes.},
author = {van Neerven, Jan M and Jan Maas},
journal = {Electronic Communications in Probability},
pages = {151 -- 164},
publisher = {Institute of Mathematical Statistics},
title = {{A Clark-Ocone formula in UMD Banach spaces}},
volume = {13},
year = {2008},
}
@article{2146,
abstract = {We present an analytic model of thermal state-to-state rotationally inelastic collisions of polar molecules in electric fields. The model is based on the Fraunhofer scattering of matter waves and requires Legendre moments characterizing the “shape” of the target in the body-fixed frame as its input. The electric field orients the target in the space-fixed frame and thereby effects a striking alteration of the dynamical observables: both the phase and amplitude of the oscillations in the partial differential cross sections undergo characteristic field-dependent changes that transgress into the partial integral cross sections. As the cross sections can be evaluated for a field applied parallel or perpendicular to the relative velocity, the model also offers predictions about steric asymmetry. We exemplify the field-dependent quantum collision dynamics with the behavior of the Ne–OCS(Σ1) and Ar–NO(Π2) systems. A comparison with the close-coupling calculations available for the latter system [Chem. Phys. Lett.313, 491 (1999)] demonstrates the model’s ability to qualitatively explain the field dependence of all the scattering features observed.},
author = {Mikhail Lemeshko and Friedrich, Břetislav},
journal = {Journal of Chemical Physics},
number = {2},
publisher = {American Institute of Physics},
title = {{An analytic model of rotationally inelastic collisions of polar molecules in electric fields}},
doi = {10.1063/1.2948392},
volume = {129},
year = {2008},
}
@inproceedings{2331,
abstract = {We present a review of recent work on the mathematical aspects of the BCS gap equation, covering our results of Ref. 9 as well our recent joint work with Hamza and Solovej and with Frank and Naboko, respectively. In addition, we mention some related new results.},
author = {Hainzl, Christian and Robert Seiringer},
pages = {117 -- 136},
publisher = {World Scientific Publishing},
title = {{ Spectral properties of the BCS gap equation of superfluidity}},
doi = {10.1142/9789812832382_0009},
year = {2008},
}
@inproceedings{2332,
abstract = {We present a rigorous proof of the appearance of quantized vortices in dilute trapped Bose gases with repulsive two-body interactions subject to rotation, which was obtained recently in joint work with Elliott Lieb.14 Starting from the many-body Schrödinger equation, we show that the ground state of such gases is, in a suitable limit, well described by the nonlinear Gross-Pitaevskii equation. In the case of axially symmetric traps, our results show that the appearance of quantized vortices causes spontaneous symmetry breaking in the ground state.},
author = {Robert Seiringer},
pages = {241 -- 254},
publisher = {World Scientific Publishing},
title = {{Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases}},
doi = {10.1142/9789812832382_0017},
year = {2008},
}
@article{2374,
abstract = {A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1, where a denotes the scattering length of the pair-interaction potential, our bound differs to leading order from the expression for non-interacting particles by the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the positive part. Our bound is uniform in the temperature up to temperatures of the order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients in the proof is the use of coherent states to extend the method introduced in [17] for estimating correlations to temperatures below the critical one.},
author = {Robert Seiringer},
journal = {Communications in Mathematical Physics},
number = {3},
pages = {595 -- 636},
publisher = {Springer},
title = {{Free energy of a dilute Bose gas: Lower bound}},
doi = {10.1007/s00220-008-0428-2},
volume = {279},
year = {2008},
}
@article{2376,
abstract = {We derive upper and lower bounds on the critical temperature Tc and the energy gap Ξ (at zero temperature) for the BCS gap equation, describing spin- 1 2 fermions interacting via a local two-body interaction potential λV(x). At weak coupling λ 1 and under appropriate assumptions on V(x), our bounds show that Tc ∼A exp(-B/λ) and Ξ∼C exp(-B/λ) for some explicit coefficients A, B, and C depending on the interaction V(x) and the chemical potential μ. The ratio A/C turns out to be a universal constant, independent of both V(x) and μ. Our analysis is valid for any μ; for small μ, or low density, our formulas reduce to well-known expressions involving the scattering length of V(x).},
author = {Hainzl, Christian and Robert Seiringer},
journal = {Physical Review B - Condensed Matter and Materials Physics},
number = {18},
publisher = {American Physical Society},
title = {{Critical temperature and energy gap for the BCS equation}},
doi = {10.1103/PhysRevB.77.184517},
volume = {77},
year = {2008},
}
@article{2377,
abstract = {We prove that the critical temperature for the BCS gap equation is given by T c = μ ( 8\π e γ-2+ o(1)) e π/(2μa) in the low density limit μ→ 0, with γ denoting Euler's constant. The formula holds for a suitable class of interaction potentials with negative scattering length a in the absence of bound states.},
author = {Hainzl, Christian and Robert Seiringer},
journal = {Letters in Mathematical Physics},
number = {2-3},
pages = {99 -- 107},
publisher = {Springer},
title = {{The BCS critical temperature for potentials with negative scattering length}},
doi = {10.1007/s11005-008-0242-y},
volume = {84},
year = {2008},
}
@article{2378,
abstract = {We derive a lower bound on the ground state energy of the Hubbard model for given value of the total spin. In combination with the upper bound derived previously by Giuliani (J. Math. Phys. 48:023302, [2007]), our result proves that in the low density limit the leading order correction compared to the ground state energy of a non-interacting lattice Fermi gas is given by 8πaσ uσ d , where σ u(d) denotes the density of the spin-up (down) particles, and a is the scattering length of the contact interaction potential. This result extends previous work on the corresponding continuum model to the lattice case.},
author = {Robert Seiringer and Yin, Jun},
journal = {Journal of Statistical Physics},
number = {6},
pages = {1139 -- 1154},
publisher = {Springer},
title = {{Ground state energy of the low density hubbard model}},
doi = {10.1007/s10955-008-9527-x},
volume = {131},
year = {2008},
}
@article{2379,
author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer},
journal = {Journal of the American Mathematical Society},
number = {4},
pages = {925 -- 950},
publisher = {American Mathematical Society},
title = {{Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators}},
doi = {10.1090/S0894-0347-07-00582-6},
volume = {21},
year = {2008},
}
@article{2380,
abstract = {The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed attention as a description of fermionic gases interacting with local pairwise interactions. We present here a rigorous analysis of the BCS functional for general pair interaction potentials. For both zero and positive temperature, we show that the existence of a non-trivial solution of the nonlinear BCS gap equation is equivalent to the existence of a negative eigenvalue of a certain linear operator. From this we conclude the existence of a critical temperature below which the BCS pairing wave function does not vanish identically. For attractive potentials, we prove that the critical temperature is non-zero and exponentially small in the strength of the potential.},
author = {Hainzl, Christian and Hamza, Eman and Robert Seiringer and Solovej, Jan P},
journal = {Communications in Mathematical Physics},
number = {2},
pages = {349 -- 367},
publisher = {Springer},
title = {{The BCS functional for general pair interactions}},
doi = {10.1007/s00220-008-0489-2},
volume = {281},
year = {2008},
}
@article{2381,
abstract = {We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To do so, we develop a non-linear and non-local version of the ground state representation, which even yields a remainder term. From the sharp Hardy inequality we deduce the sharp constant in a Sobolev embedding which is optimal in the Lorentz scale. In the appendix, we characterize the cases of equality in the rearrangement inequality in fractional Sobolev spaces.},
author = {Frank, Rupert L and Robert Seiringer},
journal = {Journal of Functional Analysis},
number = {12},
pages = {3407 -- 3430},
publisher = {Academic Press},
title = {{Non-linear ground state representations and sharp Hardy inequalities}},
doi = {10.1016/j.jfa.2008.05.015},
volume = {255},
year = {2008},
}
@article{2382,
abstract = {We show that the Lieb-Liniger model for one-dimensional bosons with repulsive δ-function interaction can be rigorously derived via a scaling limit from a dilute three-dimensional Bose gas with arbitrary repulsive interaction potential of finite scattering length. For this purpose, we prove bounds on both the eigenvalues and corresponding eigenfunctions of three-dimensional bosons in strongly elongated traps and relate them to the corresponding quantities in the Lieb-Liniger model. In particular, if both the scattering length a and the radius r of the cylindrical trap go to zero, the Lieb-Liniger model with coupling constant g ∼ a/r 2 is derived. Our bounds are uniform in g in the whole parameter range 0 ≤ g ≤ ∞, and apply to the Hamiltonian for three-dimensional bosons in a spectral window of size ∼ r -2 above the ground state energy.},
author = {Robert Seiringer and Yin, Jun},
journal = {Communications in Mathematical Physics},
number = {2},
pages = {459 -- 479},
publisher = {Springer},
title = {{The Lieb-Liniger model as a limit of dilute bosons in three dimensions}},
doi = {10.1007/s00220-008-0521-6},
volume = {284},
year = {2008},
}
@article{2383,
abstract = {We study the relativistic electron-positron field at positive temperature in the Hartree-Fock approximation. We consider both the case with and without exchange terms, and investigate the existence and properties of minimizers. Our approach is non-perturbative in the sense that the relevant electron subspace is determined in a self-consistent way. The present work is an extension of previous work by Hainzl, Lewin, Séré and Solovej where the case of zero temperature was considered.},
author = {Hainzl, Christian and Lewin, Mathieu and Robert Seiringer},
journal = {Reviews in Mathematical Physics},
number = {10},
pages = {1283 -- 1307},
publisher = {World Scientific Publishing},
title = {{A nonlinear model for relativistic electrons at positive temperature}},
doi = {10.1142/S0129055X08003547},
volume = {20},
year = {2008},
}
@inproceedings{4384,
abstract = {Model checking software transactional memories (STMs) is difficult because of the unbounded number, length, and delay of concurrent transactions and the unbounded size of the memory. We show that, under certain conditions, the verification problem can be reduced to a finite-state problem, and we illustrate the use of the method by proving the correctness of several STMs, including two-phase locking, DSTM, TL2, and optimistic concurrency control. The safety properties we consider include strict serializability and opacity; the liveness properties include obstruction freedom, livelock freedom, and wait freedom.
Our main contribution lies in the structure of the proofs, which are largely automated and not restricted to the STMs mentioned above. In a first step we show that every STM that enjoys certain structural properties either violates a safety or liveness requirement on some program with two threads and two shared variables, or satisfies the requirement on all programs. In the second step we use a model checker to prove the requirement for the STM applied to a most general program with two threads and two variables. In the safety case, the model checker constructs a simulation relation between two carefully constructed finite-state transition systems, one representing the given STM applied to a most general program, and the other representing a most liberal safe STM applied to the same program. In the liveness case, the model checker analyzes fairness conditions on the given STM transition system.},
author = {Guerraoui, Rachid and Thomas Henzinger and Jobstmann, Barbara and Vasu Singh},
pages = {372 -- 382},
publisher = {ACM},
title = {{Model checking transactional memories}},
doi = {10.1145/1375581.1375626},
year = {2008},
}
@article{6146,
abstract = {Homeostasis of internal carbon dioxide (CO2) and oxygen (O2) levels is fundamental to all animals. Here we examine the CO2 response of the nematode Caenorhabditis elegans. This species inhabits rotting material, which typically has a broad CO2 concentration range. We show that well fed C. elegans avoid CO2 levels above 0.5%. Animals can respond to both absolute CO2 concentrations and changes in CO2 levels within seconds. Responses to CO2 do not reflect avoidance of acid pH but appear to define a new sensory response. Sensation of CO2 is promoted by the cGMP-gated ion channel subunits TAX-2 and TAX-4, but other pathways are also important. Robust CO2 avoidance in well fed animals requires inhibition of the DAF-16 forkhead transcription factor by the insulin-like receptor DAF-2. Starvation, which activates DAF-16, strongly suppresses CO2 avoidance. Exposure to hypoxia (<1% O2) also suppresses CO2 avoidance via activation of the hypoxia-inducible transcription factor HIF-1. The npr-1 215V allele of the naturally polymorphic neuropeptide receptor npr-1, besides inhibiting avoidance of high ambient O2 in feeding C. elegans, also promotes avoidance of high CO2. C. elegans integrates competing O2 and CO2 sensory inputs so that one response dominates. Food and allelic variation at NPR-1 regulate which response prevails. Our results suggest that multiple sensory inputs are coordinated by C. elegans to generate different coherent foraging strategies.},
author = {Bretscher, A. J. and Busch, K. E. and de Bono, Mario},
issn = {0027-8424},
journal = {Proceedings of the National Academy of Sciences},
number = {23},
pages = {8044--8049},
publisher = {Proceedings of the National Academy of Sciences},
title = {{A carbon dioxide avoidance behavior is integrated with responses to ambient oxygen and food in Caenorhabditis elegans}},
doi = {10.1073/pnas.0707607105},
volume = {105},
year = {2008},
}
@inproceedings{2702,
abstract = {We review our proof that in a scaling limit, the time evolution of a quantum particle in a static random environment leads to a diffusion equation. In particular, we discuss the role of Feynman graph expansions and of renormalization.
},
author = {László Erdös and Salmhofer, Manfred and Yau, Horng-Tzer},
pages = {167 -- 182},
publisher = {World Scientific Publishing},
title = {{Feynman graphs and renormalization in quantum diffusion}},
doi = {10.1142/9789812833556_0011},
year = {2008},
}
@article{3037,
author = {Feraru, Elena and Friml, Jirí},
journal = {Plant Physiology},
number = {4},
pages = {1553 -- 1559},
publisher = {American Society of Plant Biologists},
title = {{PIN polar targeting}},
doi = {10.1104/pp.108.121756},
volume = {147},
year = {2008},
}
@article{1763,
abstract = {The field of cavity quantum electrodynamics (QED), traditionally studied in atomic systems, has gained new momentum by recent reports of quantum optical experiments with solid-state semiconducting and superconducting systems. In cavity QED, the observation of the vacuum Rabi mode splitting is used to investigate the nature of matter-light interaction at a quantum-mechanical level. However, this effect can, at least in principle, be explained classically as the normal mode splitting of two coupled linear oscillators. It has been suggested that an observation of the scaling of the resonant atom-photon coupling strength in the Jaynes-Cummings energy ladder with the square root of photon number n is sufficient to prove that the system is quantum mechanical in nature. Here we report a direct spectroscopic observation of this characteristic quantum nonlinearity. Measuring the photonic degree of freedom of the coupled system, our measurements provide unambiguous spectroscopic evidence for the quantum nature of the resonant atom-field interaction in cavity QED. We explore atom-photon superposition states involving up to two photons, using a spectroscopic pump and probe technique. The experiments have been performed in a circuit QED set-up, in which very strong coupling is realized by the large dipole coupling strength and the long coherence time of a superconducting qubit embedded in a high-quality on-chip microwave cavity. Circuit QED systems also provide a natural quantum interface between flying qubits (photons) and stationary qubits for applications in quantum information processing and communication.},
author = {Johannes Fink and Göppl, M and Baur, Matthias P and Bianchetti, R and Leek, Peter J and Blais, Alexandre and Wallraff, Andreas},
journal = {Nature},
number = {7202},
pages = {315 -- 318},
publisher = {Nature Publishing Group},
title = {{Climbing the Jaynes-Cummings ladder and observing its √n nonlinearity in a cavity QED system}},
doi = {10.1038/nature07112},
volume = {454},
year = {2008},
}
@article{1765,
abstract = {High quality on-chip microwave resonators have recently found prominent new applications in quantum optics and quantum information processing experiments with superconducting electronic circuits, a field now known as circuit quantum electrodynamics (QED). They are also used as single photon detectors and parametric amplifiers. Here we analyze the physical properties of coplanar waveguide resonators and their relation to the materials properties for use in circuit QED. We have designed and fabricated resonators with fundamental frequencies from 2 to 9 GHz and quality factors ranging from a few hundreds to a several hundred thousands controlled by appropriately designed input and output coupling capacitors. The microwave transmission spectra measured at temperatures of 20 mK are shown to be in good agreement with theoretical lumped element and distributed element transmission matrix models. In particular, the experimentally determined resonance frequencies, quality factors, and insertion losses are fully and consistently explained by the two models for all measured devices. The high level of control and flexibility in design renders these resonators ideal for storing and manipulating quantum electromagnetic fields in integrated superconducting electronic circuits.},
author = {Göppl, M and Fragner, A and Baur, Matthias P and Bianchetti, R and Filipp, Stefan and Johannes Fink and Leek, Peter J and Puebla, G and Steffen, L. Kraig and Wallraff, Andreas},
journal = {Journal of Applied Physics},
number = {11},
publisher = {American Institute of Physics},
title = {{Coplanar waveguide resonators for circuit quantum electrodynamics}},
doi = {10.1063/1.3010859},
volume = {104},
year = {2008},
}
@article{965,
abstract = {We give many examples of applying Bogoliubov's forest formula to iterative solutions of various nonlinear equations. The same formula describes an extremely wide class of objects, from an ordinary quadratic equation to renormalization in quantum field theory.},
author = {Morozov, Alexei Y and Maksym Serbyn},
journal = {Theoretical and Mathematical Physics},
number = {2},
pages = {270 -- 293},
publisher = {Elsevier},
title = {{Nonlinear algebra and Bogoliubov's recursion}},
doi = {10.1007/s11232-008-0026-7},
volume = {154},
year = {2008},
}
@article{1460,
abstract = {We calculate the E-polynomials of certain twisted GL(n,ℂ)-character varieties Mn of Riemann surfaces by counting points over finite fields using the character table of the finite group of Lie-type GL(n, q) and a theorem proved in the appendix by N. Katz. We deduce from this calculation several geometric results, for example, the value of the topological Euler characteristic of the associated PGL(n,ℂ)-character variety. The calculation also leads to several conjectures about the cohomology of Mn: an explicit conjecture for its mixed Hodge polynomial; a conjectured curious hard Lefschetz theorem and a conjecture relating the pure part to absolutely indecomposable representations of a certain quiver. We prove these conjectures for n=2.},
author = {Tamas Hausel and Rodríguez Villegas, Fernando},
journal = {Inventiones Mathematicae},
number = {3},
pages = {555 -- 624},
publisher = {Springer},
title = {{Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz}},
doi = {10.1007/s00222-008-0142-x},
volume = {174},
year = {2008},
}
@article{3307,
abstract = {A complete mitochondrial (mt) genome sequence was reconstructed from a 38,000 year-old Neandertal individual with 8341 mtDNA sequences identified among 4.8 Gb of DNA generated from ∼0.3 g of bone. Analysis of the assembled sequence unequivocally establishes that the Neandertal mtDNA falls outside the variation of extant human mtDNAs, and allows an estimate of the divergence date between the two mtDNA lineages of 660,000 ± 140,000 years. Of the 13 proteins encoded in the mtDNA, subunit 2 of cytochrome c oxidase of the mitochondrial electron transport chain has experienced the largest number of amino acid substitutions in human ancestors since the separation from Neandertals. There is evidence that purifying selection in the Neandertal mtDNA was reduced compared with other primate lineages, suggesting that the effective population size of Neandertals was small.},
author = {Green, Richard E and Malaspinas, Anna-Sapfo and Krause, Johannes and Briggs, Adrian W and Johnson, Philip L and Caroline Uhler and Meyer, Matthias and Good, Jeffrey M and Maricic, Tomislav and Stenzel, Udo and Prüfer, Kay and Siebauer, Michael F and Burbano, Hernän A and Ronan, Michael T and Rothberg, Jonathan M and Egholm, Michael and Rudan, Pavao and Brajković, Dejana and Kućan, Željko and Gušić, Ivan and Wikström, Mårten K and Laakkonen, Liisa J and Kelso, Janet F and Slatkin, Montgomery and Pääbo, Svante H},
journal = {Cell},
pages = {416 -- 426},
publisher = {Cell Press},
title = {{A complete neandertal mitochondrial genome sequence determined by highhhroughput sequencing}},
doi = {10.1016/j.cell.2008.06.021},
volume = {134},
year = {2008},
}
@article{3435,
abstract = {We develop a new method for estimating effective population sizes, Ne, and selection coefficients, s, from time-series data of allele frequencies sampled from a single diallelic locus. The method is based on calculating transition probabilities, using a numerical solution of the diffusion process, and assuming independent binomial sampling from this diffusion process at each time point. We apply the method in two example applications. First, we estimate selection coefficients acting on the CCR5-Δ32 mutation on the basis of published samples of contemporary and ancient human DNA. We show that the data are compatible with the assumption of s = 0, although moderate amounts of selection acting on this mutation cannot be excluded. In our second example, we estimate the selection coefficient acting on a mutation segregating in an experimental phage population. We show that the selection coefficient acting on this mutation is ~0.43.},
author = {Jonathan Bollback and York, Thomas L and Nielsen, Rasmus},
journal = {Genetics},
number = {1},
pages = {497 -- 502},
publisher = {Genetics Society of America},
title = {{Estimation of 2Nes From Temporal Allele Frequency Data}},
doi = {10.1534/genetics.107.085019},
volume = {179},
year = {2008},
}
@inproceedings{3504,
abstract = {Simulation and bisimulation metrics for stochastic systems provide a quantitative gen- eralization of the classical simulation and bisimulation relations. These metrics capture the similarity of states with respect to quantitative specifications written in the quantitative μ-calculus and related probabilistic logics.
We present algorithms for computing the metrics on Markov decision processes (MDPs), turn- based stochastic games, and concurrent games. For turn-based games and MDPs, we provide a polynomial-time algorithm based on linear programming for the computation of the one-step metric distance between states. The algorithm improves on the previously known exponential-time algo- rithm based on a reduction to the theory of reals. We then present PSPACE algorithms for both the decision problem and the problem of approximating the metric distance between two states, matching the best known bound for Markov chains. For the bisimulation kernel of the metric, which corresponds to probabilistic bisimulation, our algorithm works in time O(n4) for both turn-based games and MDPs; improving the previously best known O(n9 · log(n)) time algorithm for MDPs. For a concurrent game G, we show that computing the exact distance between states is at least as hard as computing the value of concurrent reachability games and the square-root-sum problem in computational geometry. We show that checking whether the metric distance is bounded by a rational r, can be accomplished via a reduction to the theory of real closed fields, involving a
formula with three quantifier alternations, yielding O(|G|O(|G|5)) time complexity, improving the previously known reduction with O(|G|O(|G|7)) time complexity. These algorithms can be iterated
to approximate the metrics using binary search.},
author = {Chatterjee, Krishnendu and De Alfaro, Luca and Majumdar, Ritankar and Raman, Vishwanath},
pages = {107 -- 118},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
title = {{Algorithms for game metrics}},
doi = {10.4230/LIPIcs.FSTTCS.2008.1745},
volume = {2},
year = {2008},
}
@article{3734,
abstract = {Gene expression levels fluctuate even under constant external conditions. Much emphasis has usually been placed on the components of this noise that are due to randomness in transcription and translation. Here we focus on the role of noise associated with the inputs to transcriptional regulation; in particular, we analyze the effects of random arrival times and binding of transcription factors to their target sites along the genome. This contribution to the total noise sets a fundamental physical limit to the reliability of genetic control, and has clear signatures, but we show that these are easily obscured by experimental limitations and even by conventional methods for plotting the variance vs. mean expression level. We argue that simple, universal models of noise dominated by transcription and translation are inconsistent with the embedding of gene expression in a network of regulatory interactions. Analysis of recent experiments on transcriptional control in the early Drosophila embryo shows that these results are quantitatively consistent with the predicted signatures of input noise, and we discuss the experiments needed to test the importance of input noise more generally.},
author = {Gasper Tkacik and Gregor, Thomas and Bialek, William S},
journal = {PLoS One},
number = {7},
publisher = {Public Library of Science},
title = {{The role of input noise in transcriptional regulation}},
doi = {10.1371/journal.pone.0002774},
volume = {3},
year = {2008},
}
@article{3740,
abstract = {In the simplest view of transcriptional regulation, the expression of a gene is turned on or off by changes in the concentration of a transcription factor (TF). We use recent data on noise levels in gene expression to show that it should be possible to transmit much more than just one regulatory bit. Realizing this optimal information capacity would require that the dynamic range of TF concentrations used by the cell, the input/output relation of the regulatory module, and the noise in gene expression satisfy certain matching relations, which we derive. These results provide parameter-free, quantitative predictions connecting independently measurable quantities. Although we have considered only the simplified problem of a single gene responding to a single TF, we find that these predictions are in surprisingly good agreement with recent experiments on the Bicoid/Hunchback system in the early Drosophila embryo and that this system achieves approximately 90% of its theoretical maximum information transmission.},
author = {Gasper Tkacik and Callan,Curtis G and Bialek, William S},
journal = {PNAS},
number = {34},
pages = {12265 -- 12270},
publisher = {National Academy of Sciences},
title = {{Information flow and optimization in transcriptional regulation}},
doi = {10.1073/pnas.0806077105},
volume = {105},
year = {2008},
}
@article{3744,
abstract = {It is widely acknowledged that detailed timing of action potentials is used to encode information, for example, in auditory pathways; however, the computational tools required to analyze encoding through timing are still in their infancy. We present a simple example of encoding, based on a recent model of time-frequency analysis, in which units fire action potentials when a certain condition is met, but the timing of the action potential depends also on other features of the stimulus. We show that, as a result, spike-triggered averages are smoothed so much that they do not represent the true features of the encoding. Inspired by this example, we present a simple method, differential reverse correlations, that can separate an analysis of what causes a neuron to spike, and what controls its timing. We analyze with this method the leaky integrate-and-fire neuron and show the method accurately reconstructs the model's kernel.},
author = {Gasper Tkacik and Magnasco, Marcelo O},
journal = {Biosystems},
number = {1-2},
pages = {90 -- 100},
publisher = {Elsevier},
title = {{Decoding spike timing: The differential reverse-correlation method}},
doi = {10.1016/j.biosystems.2008.04.011},
volume = {93},
year = {2008},
}
@article{3751,
abstract = {Revealing the spectrum of combinatorial regulation of transcription at individual promoters is essential for understanding the complex structure of biological networks. However, the computations represented by the integration of various molecular signals at complex promoters are difficult to decipher in the absence of simple cis regulatory codes. Here we synthetically shuffle the regulatory architecture-operator sequences binding activators and repressors-of a canonical bacterial promoter. The resulting library of complex promoters allows for rapid exploration of promoter encoded logic regulation. Among all possible logic functions, NOR and ANDN promoter encoded logics predominate. A simple transcriptional cis regulatory code determines both logics, establishing a straightforward map between promoter structure and logic phenotype. The regulatory code is determined solely by the type of transcriptional regulation combinations: two repressors generate a NOR: NOT (a OR b) whereas a repressor and an activator generate an ANDN: a AND NOT b. Three-input versions of both logics, having an additional repressor as an input, are also present in the library. The resulting complex promoters cover a wide dynamic range of transcriptional strengths. Synthetic promoter shuffling represents a fast and efficient method for exploring the spectrum of complex regulatory functions that can be encoded by complex promoters. From an engineering point of view, synthetic promoter shuffling enables the experimental testing of the functional properties of complex promoters that cannot necessarily be inferred ab initio from the known properties of the individual genetic components. Synthetic promoter shuffling may provide a useful experimental tool for studying naturally occurring promoter shuffling.},
author = {Kinkhabwala, Ali and Guet, Calin C},
journal = {PLoS One},
number = {4},
publisher = {Public Library of Science},
title = {{Uncovering cis regulatory codes using synthetic promoter shuffling}},
doi = {10.1371/journal.pone.0002030},
volume = {3},
year = {2008},
}
@article{3822,
abstract = {Dentate gyrus granule cells transmit action potentials (APs) along their unmyelinated mossy fibre axons to the CA3 region. Although the initiation and propagation of APs are fundamental steps during neural computation, little is known about the site of AP initiation and the speed of propagation in mossy fibre axons. To address these questions, we performed simultaneous somatic and axonal whole-cell recordings from granule cells in acute hippocampal slices of adult mice at approximately 23 degrees C. Injection of short current pulses or synaptic stimulation evoked axonal and somatic APs with similar amplitudes. By contrast, the time course was significantly different, as axonal APs had a higher maximal rate of rise (464 +/- 30 V s(-1) in the axon versus 297 +/- 12 V s(-1) in the soma, mean +/- s.e.m.). Furthermore, analysis of latencies between the axonal and somatic signals showed that APs were initiated in the proximal axon at approximately 20-30 mum distance from the soma, and propagated orthodromically with a velocity of 0.24 m s(-1). Qualitatively similar results were obtained at a recording temperature of approximately 34 degrees C. Modelling of AP propagation in detailed cable models of granule cells suggested that a approximately 4 times higher Na(+) channel density ( approximately 1000 pS mum(-2)) in the axon might account for both the higher rate of rise of axonal APs and the robust AP initiation in the proximal mossy fibre axon. This may be of critical importance to separate dendritic integration of thousands of synaptic inputs from the generation and transmission of a common AP output.},
author = {Schmidt-Hieber, Christoph and Peter Jonas and Bischofberger, Josef},
journal = {Journal of Physiology},
number = {7},
pages = {1849 -- 57},
publisher = {Wiley-Blackwell},
title = {{Action potential initiation and propagation in hippocampal mossy fibre axons}},
doi = {10.1113/jphysiol.2007.150151 },
volume = {586},
year = {2008},
}
@article{3825,
abstract = {Fast-spiking parvalbumin-expressing basket cells (BCs) represent a major type of inhibitory interneuron in the hippocampus. These cells inhibit principal cells in a temporally precise manner and are involved in the generation of network oscillations. Although BCs show a unique expression profile of Ca(2+)-permeable receptors, Ca(2+)-binding proteins and Ca(2+)-dependent signalling molecules, physiological Ca(2+) signalling in these interneurons has not been investigated. To study action potential (AP)-induced dendritic Ca(2+) influx and buffering, we combined whole-cell patch-clamp recordings with ratiometric Ca(2+) imaging from the proximal apical dendrites of rigorously identified BCs in acute slices, using the high-affinity Ca(2+) indicator fura-2 or the low-affinity dye fura-FF. Single APs evoked dendritic Ca(2+) transients with small amplitude. Bursts of APs evoked Ca(2+) transients with amplitudes that increased linearly with AP number. Analysis of Ca(2+) transients under steady-state conditions with different fura-2 concentrations and during loading with 200 microm fura-2 indicated that the endogenous Ca(2+)-binding ratio was approximately 200 (kappa(S) = 202 +/- 26 for the loading experiments). The peak amplitude of the Ca(2+) transients measured directly with 100 microm fura-FF was 39 nm AP(-1). At approximately 23 degrees C, the decay time constant of the Ca(2+) transients was 390 ms, corresponding to an extrusion rate of approximately 600 s(-1). At 34 degrees C, the decay time constant was 203 ms and the corresponding extrusion rate was approximately 1100 s(-1). At both temperatures, continuous theta-burst activity with three to five APs per theta cycle, as occurs in vivo during exploration, led to a moderate increase in the global Ca(2+) concentration that was proportional to AP number, whereas more intense stimulation was required to reach micromolar Ca(2+) concentrations and to shift Ca(2+) signalling into a non-linear regime. In conclusion, dentate gyrus BCs show a high endogenous Ca(2+)-binding ratio, a small AP-induced dendritic Ca(2+) influx, and a relatively slow Ca(2+) extrusion. These specific buffering properties of BCs will sharpen the time course of local Ca(2+) signals, while prolonging the decay of global Ca(2+) signals.},
author = {Aponte, Yexica and Bischofberger, Josef and Peter Jonas},
journal = {Journal of Physiology},
number = {8},
pages = {2061 -- 75},
publisher = {Wiley-Blackwell},
title = {{Efficient Ca(2+) buffering in fast-spiking basket cells of rat hippocampus}},
doi = {10.1113/jphysiol.2007.147298},
volume = {586},
year = {2008},
}
@inproceedings{3878,
abstract = {We study the problem of generating a test sequence that achieves maximal coverage for a reactive system under test. We formulate the problem as a repeated game between the tester and the system, where the system state space is partitioned according to some coverage criterion and the objective of the tester is to maximize the set of partitions (or coverage goals) visited during the game. We show the complexity of the maximal coverage problem for non-deterministic systems is PSPACE-complete, but is NP-complete for deterministic systems. For the special case of non-deterministic systems with a re-initializing “reset” action, which represent running a new test input on a re-initialized system, we show that the complexity is coNP-complete. Our proof technique for reset games uses randomized testing strategies that circumvent the exponentially large memory requirement of deterministic testing strategies.},
author = {Krishnendu Chatterjee and de Alfaro, Luca and Majumdar, Ritankar S},
pages = {91 -- 106},
publisher = {Springer},
title = {{The complexity of coverage}},
doi = {10.1007/978-3-540-89330-1_7},
volume = {5356},
year = {2008},
}
@article{1037,
abstract = {We experimentally demonstrate Cs2 Feshbach molecules well above the dissociation threshold, which are stable against spontaneous decay on the time scale of 1s. An optically trapped sample of ultracold dimers is prepared in a high rotational state and magnetically tuned into a region with a negative binding energy. The metastable character of these molecules arises from the large centrifugal barrier in combination with negligible coupling to states with low rotational angular momentum. A sharp onset of dissociation with increasing magnetic field is mediated by a crossing with a lower rotational dimer state and facilitates dissociation on demand with a well-defined energy.},
author = {Knoop, Steven and Mark, Michael and Ferlaino, Francesca and Danzl, Johann G and Kraemer, Tobias and Nägerl, Hanns and Grimm, Rudolf},
journal = {Physical Review Letters},
number = {8},
publisher = {American Physical Society},
title = {{Metastable feshbach molecules in high rotational states}},
doi = {10.1103/PhysRevLett.100.083002},
volume = {100},
year = {2008},
}
@article{1036,
abstract = {We report on the control of interaction-induced dephasing of Bloch oscillations for an atomic Bose-Einstein condensate in an optical lattice. We quantify the dephasing in terms of the width of the quasimomentum distribution and measure its dependence on time for different interaction strengths which we control by means of a Feshbach resonance. For minimal interaction, the dephasing time is increased from a few to more than 20 thousand Bloch oscillation periods, allowing us to realize a BEC-based atom interferometer in the noninteracting limit.},
author = {Gustavsson, Mattias and Haller, Elmar and Mark, Manfred and Danzl, Johann G and Rojas Kopeinig, Gabriel and Nägerl, Hanns},
journal = {Physical Review Letters},
number = {8},
publisher = {American Physical Society},
title = {{Control of interaction-induced dephasing of bloch oscillations}},
doi = {10.1103/PhysRevLett.100.080404},
volume = {100},
year = {2008},
}
@article{1039,
abstract = {Molecular cooling techniques face the hurdle of dissipating translational as well as internal energy in the presence of a rich electronic, vibrational, and rotational energy spectrum. In our experiment, we create a translationally ultracold, dense quantum gas of molecules bound by more than 1000 wave numbers in the electronic ground state. Specifically, we stimulate with 80% efficiency, a two-photon transfer of molecules associated on a Feshbach resonance from a Bose-Einstein condensate of cesium atoms. In the process, the initial loose, long-range electrostatic bond of the Feshbach molecule is coherently transformed into a tight chemical bond. We demonstrate coherence of the transfer in a Ramsey-type experiment and show that the molecular sample is not heated during the transfer. Our results show that the preparation of a quantum gas of molecules in specific rovibrational states is possible and that the creation of a Bose-Einstein condensate of molecules in their rovibronic ground state is within reach.},
author = {Danzl, Johann G and Haller, Elmar and Gustavsson, Mattias and Mark, Manfred and Hart, Russell and Bouloufa, Nadia and Dulieu, Olivier and Ritsch, Helmut and Nägerl, Hanns},
journal = {Science},
number = {5892},
pages = {1062 -- 1066},
publisher = {American Association for the Advancement of Science},
title = {{Quantum gas of deeply bound ground state molecules}},
doi = {10.1126/science.1159909},
volume = {321},
year = {2008},
}
@inproceedings{2091,
abstract = {We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing. },
author = {Bernd Bickel and Botsch, Mario and Angst, Roland and Matusik, Wojciech and Otaduy, Miguel A and Pfister, Hanspeter and Groß, Markus S},
publisher = {ACM},
title = {{Multi scale capture of facial geometry and motion}},
doi = {doi:10.1145/1275808.1276419},
year = {2007},
}
@article{2093,
abstract = {We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing. },
author = {Bernd Bickel and Botsch, Mario and Angst, Roland and Matusik, Wojciech and Otaduy, Miguel A and Pfister, Hanspeter and Groß, Markus S},
journal = {ACM Transactions on Graphics},
number = {3},
publisher = {ACM},
title = {{Multi scale capture of facial geometry and motion}},
doi = {10.1145/1276377.1276419},
volume = {26},
year = {2007},
}
@article{2118,
abstract = {We extend to infinite dimensions an explicit formula of Chill, Fašangová, Metafune, and Pallara for the optimal angle of analyticity of analytic Ornstein-Uhlenbeck semigroups. The main ingredient is an abstract representation of the Ornstein-Uhlenbeck operator in divergence form. },
author = {Jan Maas and van Neerven, Jan M},
journal = {Archiv der Mathematik},
number = {3},
pages = {226 -- 236},
publisher = {Birkhäuser},
title = {{On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions}},
doi = {10.1007/s00013-007-2082-x},
volume = {89},
year = {2007},
}
@article{221,
author = {De La Bretèche, Régis and Browning, Timothy D},
journal = {Michigan Mathematical Journal},
number = {1},
pages = {51 -- 80},
publisher = {Project Euclid},
title = {{On Manin's conjecture for singular del Pezzo surfaces of degree four, I}},
doi = {10.1307/mmj/1177681985},
volume = {55},
year = {2007},
}
@article{222,
abstract = {Acknowledgements. The authors are grateful to Ulrich Derenthal and Brendan Hassett for several useful conversations relating to universal torsors for singular del Pezzo surfaces. Special thanks are due to Roger Heath–Brown whose ideas led us to the proof of Lemma 6. The paper was finalised while the first author was at the École Normale Supérieure, and the second author was at Oxford University supported by EPSRC grant number GR/R93155/01. The hospitality and financial support of these institutions is gratefully acknowledged. Finally, the authors would like to thank the anonymous referee for his careful reading of the manuscript and numerous useful suggestions.},
author = {de la Bretèche, Régis and Timothy Browning},
journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
number = {3},
pages = {579 -- 605},
publisher = {Unknown},
title = {{On Manin's conjecture for singular del Pezzo surfaces of degree four, II}},
doi = {10.1017/S0305004107000205},
volume = {143},
year = {2007},
}
@article{223,
abstract = {Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus.},
author = {Timothy Browning},
journal = {Monatshefte fur Mathematik},
number = {1},
pages = {13 -- 38},
publisher = {Springer},
title = {{Density of integer solutions to diagonal quadratic forms}},
doi = {10.1007/s00605-007-0457-5},
volume = {152},
year = {2007},
}
@article{2367,
abstract = {It was recently shown by Hansen that the Wigner-Yanase entropy is, for general states of quantum systems, not subadditive with respect to decomposition into two subsystems, although this property is known to hold for pure states. We investigate the question whether the weaker property of subadditivity for pure states with respect to decomposition into more than two subsystems holds. This property would have interesting applications in quantum chemistry. We show, however, that it does not hold in general, and provide a counterexample.},
author = {Robert Seiringer},
journal = {Letters in Mathematical Physics},
number = {3},
pages = {285 -- 288},
publisher = {Springer},
title = {{On the failure of subadditivity of the Wigner-Yanase entropy}},
doi = {10.1007/s11005-007-0159-x},
volume = {80},
year = {2007},
}
@article{2370,
abstract = {After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long-range order for models of magnets a general proof of spontaneous breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented. The proof is based on a rigorous validation of Bogoliubov's c-number substitution for the k = 0 mode operator α0.},
author = {Lieb, Élliott H and Robert Seiringer and Yngvason, Jakob},
journal = {Reports on Mathematical Physics},
number = {3},
pages = {389 -- 399},
publisher = {Elsevier},
title = {{Bose-Einstein condensation and spontaneous symmetry breaking}},
doi = {10.1016/S0034-4877(07)80074-7},
volume = {59},
year = {2007},
}
@article{2371,
abstract = {We give a proof of stability of relativistic matter with magnetic fields all the way up to the critical value of the nuclear charge Zα = 2/π.},
author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer},
journal = {Communications in Mathematical Physics},
number = {2},
pages = {479 -- 489},
publisher = {Springer},
title = {{Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value}},
doi = {10.1007/s00220-007-0307-2},
volume = {275},
year = {2007},
}