@article{1442,
abstract = {We give a cohomological interpretation of both the Kac polynomial and the refined Donaldson-Thomas-invariants of quivers. This interpretation yields a proof of a conjecture of Kac from 1982 and gives a new perspective on recent work of Kontsevich-Soibelman. Thisis achieved by computing, via an arithmetic Fourier transform, the dimensions of the isotypical components of the cohomology of associated Nakajima quiver varieties under the action of a Weyl group. The generating function of the corresponding Poincare polynomials is an extension of Hua's formula for Kac polynomials of quivers involving Hall-Littlewood symmetric functions. The resulting formulae contain a wide range of information on the geometry of the quiver varieties.},
author = {Tamas Hausel and Letellier, Emmanuel and Rodríguez Villegas, Fernando},
journal = {Annals of Mathematics},
number = {3},
pages = {1147 -- 1168},
publisher = {Princeton University Press},
title = {{Positivity for Kac polynomials and DT-invariants of quivers}},
doi = {10.4007/annals.2013.177.3.8},
volume = {177},
year = {2013},
}
@inbook{1443,
abstract = {Here we survey several results and conjectures on the cohomology of the total space of the Hitchin system: the moduli space of semi-stable rank n and degree d Higgs bundles on a complex algebraic curve C. The picture emerging is a dynamic mixture of ideas originating in theoretical physics such as gauge theory and mirror symmetry, Weil conjectures in arithmetic algebraic geometry, representation theory of finite groups of Lie type and Langlands duality in number theory.},
author = {Tamas Hausel},
booktitle = {Handbook of Moduli: Volume II},
pages = {29 -- 70},
publisher = {International Press},
title = {{Global topology of the Hitchin system}},
volume = {25},
year = {2013},
}
@article{1470,
abstract = {We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine plane minus the axes and the cotangent bundle of an elliptic curve, exchanges the weight filtration on the first set of cohomology groups with the perverse Leray filtration associated with a natural fibration on the second set of cohomology groups. We discuss some associated hard Lefschetz phenomena.},
author = {De Cataldo, Mark A and Tamas Hausel and Migliorini, Luca},
journal = {Journal of Singularities},
pages = {23 -- 38},
publisher = {Worldwide Center of Mathematics},
title = {{Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces}},
doi = {10.5427/jsing.2013.7c},
volume = {7},
year = {2013},
}
@article{1759,
abstract = {We report an electric-field-induced giant modulation of the hole g factor in SiGe nanocrystals. The observed effect is ascribed to a so-far overlooked contribution to the g factor that stems from the mixing between heavy- and light-hole wave functions. We show that the relative displacement between the confined heavy- and light-hole states, occurring upon application of the electric field, alters their mixing strength leading to a strong nonmonotonic modulation of the g factor.},
author = {Ares, Natalia and Golovach, Vitaly N and Georgios Katsaros and Stoffel, Mathieu and Fournel, Frank and Glazman, Leonid I and Schmidt, Oliver G and De Franceschi, Silvano},
journal = {Physical Review Letters},
number = {4},
publisher = {American Physical Society},
title = {{Nature of tunable hole g factors in quantum dots}},
doi = {10.1103/PhysRevLett.110.046602},
volume = {110},
year = {2013},
}
@article{1760,
abstract = {We report on hole g-factor measurements in three terminal SiGe self-assembled quantum dot devices with a top gate electrode positioned very close to the nanostructure. Measurements of both the perpendicular as well as the parallel g-factor reveal significant changes for a small modulation of the top gate voltage. From the observed modulations, we estimate that, for realistic experimental conditions, hole spins can be electrically manipulated with Rabi frequencies in the order of 100 MHz. This work emphasises the potential of hole-based nano-devices for efficient spin manipulation by means of the g-tensor modulation technique.},
author = {Ares, Natalia and Georgios Katsaros and Golovach, Vitaly N and Zhang, Jianjun and Prager, Aaron A and Glazman, Leonid I and Schmidt, Oliver G and De Franceschi, Silvano},
journal = {Applied Physics Letters},
number = {26},
publisher = {American Institute of Physics},
title = {{SiGe quantum dots for fast hole spin Rabi oscillations}},
doi = {10.1063/1.4858959},
volume = {103},
year = {2013},
}
@article{1786,
abstract = {We report the experimental observation and a theoretical explanation of collective suppression of linewidths for multiple superconducting qubits coupled to a good cavity. This demonstrates how strong qubit-cavity coupling can significantly modify the dephasing and dissipation processes that might be expected for individual qubits, and can potentially improve coherence times in many-body circuit QED.},
author = {Nissen, Felix and Johannes Fink and Mlynek, Jonas A and Wallraff, Andreas and Keeling, Jonathan M},
journal = {Physical Review Letters},
number = {20},
publisher = {American Physical Society},
title = {{Collective suppression of linewidths in circuit QED}},
doi = {10.1103/PhysRevLett.110.203602},
volume = {110},
year = {2013},
}
@article{2009,
abstract = {Traditional statistical methods for confidentiality protection of statistical databases do not scale well to deal with GWAS databases especially in terms of guarantees regarding protection from linkage to external information. The more recent concept of differential privacy, introduced by the cryptographic community, is an approach which provides a rigorous definition of privacy with meaningful privacy guarantees in the presence of arbitrary external information, although the guarantees may come at a serious price in terms of data utility. Building on such notions, we propose new methods to release aggregate GWAS data without compromising an individual’s privacy. We present methods for releasing differentially private minor allele frequencies, chi-square statistics and p-values. We compare these approaches on simulated data and on a GWAS study of canine hair length involving 685 dogs. We also propose a privacy-preserving method for finding genome-wide associations based on a differentially-private approach to penalized logistic regression.},
author = {Uhler, Caroline and Slavkovic, Aleksandra and Fienberg, Stephen},
journal = {Journal of Privacy and Confidentiality },
number = {1},
pages = {137 -- 166},
publisher = {Carnegie Mellon University},
title = {{Privacy-preserving data sharing for genome-wide association studies}},
doi = {10.29012/jpc.v5i1.629},
volume = {5},
year = {2013},
}
@article{2010,
abstract = {Many algorithms for inferring causality rely heavily on the faithfulness assumption. The main justification for imposing this assumption is that the set of unfaithful distributions has Lebesgue measure zero, since it can be seen as a collection of hypersurfaces in a hypercube. However, due to sampling error the faithfulness condition alone is not sufficient for statistical estimation, and strong-faithfulness has been proposed and assumed to achieve uniform or high-dimensional consistency. In contrast to the plain faithfulness assumption, the set of distributions that is not strong-faithful has nonzero Lebesgue measure and in fact, can be surprisingly large as we show in this paper. We study the strong-faithfulness condition from a geometric and combinatorial point of view and give upper and lower bounds on the Lebesgue measure of strong-faithful distributions for various classes of directed acyclic graphs. Our results imply fundamental limitations for the PC-algorithm and potentially also for other algorithms based on partial correlation testing in the Gaussian case.},
author = {Uhler, Caroline and Raskutti, Garvesh and Bühlmann, Peter and Yu, Bin},
journal = {The Annals of Statistics},
number = {2},
pages = {436 -- 463},
publisher = {Institute of Mathematical Statistics},
title = {{Geometry of the faithfulness assumption in causal inference}},
doi = {10.1214/12-AOS1080},
volume = {41},
year = {2013},
}
@article{2117,
abstract = {We prove new upper and lower bounds for Banach space-valued stochastic integrals with respect to a compensated Poisson random measure. Our estimates apply to Banach spaces with non-trivial martingale (co)type and extend various results in the literature. We also develop a Malliavin framework to interpret Poisson stochastic integrals as vector-valued Skorohod integrals, and prove a Clark-Ocone representation formula.},
author = {Dirksen, Sjoerd and Jan Maas and van Neerven, Jan M},
journal = {Electronic Journal of Probability},
publisher = {Institute of Mathematical Statistics},
title = {{Poisson stochastic integration in Banach spaces}},
doi = {10.1214/EJP.v18-2945 },
volume = {18},
year = {2013},
}
@article{2129,
abstract = {This paper continues the investigation of `Wasserstein-like' transportation distances for probability measures on discrete sets. We prove that the discrete transportation metrics on the d-dimensional discrete torus with mesh size 1/N converge, when N→∞, to the standard 2-Wasserstein distance W_2 on the continuous torus in the sense of Gromov-Hausdorff. This is the first convergence result for the recently developed discrete transportation metrics. The result shows the compatibility between these metrics and the well-established 2-Wasserstein metric.
},
author = {Gigli, Nicola and Jan Maas},
journal = {SIAM Journal on Mathematical Analysis},
number = {2},
pages = {879 -- 899},
publisher = {Society for Industrial and Applied Mathematics },
title = {{Gromov-Hausdorff convergence of discrete transportation metrics}},
doi = {10.1137/120886315 },
volume = {45},
year = {2013},
}
@article{2139,
abstract = {Recently it has been shown that pairs of atoms can form metastable bonds due to non-conservative forces induced by dissipation [Lemeshko&Weimer, Nature Comm. 4, 2230 (2013)]. Here we study the dynamics of interaction-induced coherent population trapping - the process responsible for the formation of dissipatively bound molecules. We derive the effective dissipative potentials induced between ultracold atoms by laser light, and study the time evolution of the scattering states. We demonstrate that binding occurs on short timescales of ~10 microseconds, even if the initial kinetic energy of the atoms significantly exceeds the depth of the dissipative potential. Dissipatively-bound molecules with preordained bond lengths and vibrational wavefunctions can be created and detected in current experiments with ultracold atoms.},
author = {Mikhail Lemeshko},
journal = {Frontiers Physics},
number = {17},
publisher = {Frontiers Media},
title = {{Manipulating scattering of ultracold atoms with light-induced dissipation}},
doi = {10.3389/fphy.2013.00017},
volume = {1},
year = {2013},
}
@article{2152,
author = {Bhongale, Satyan G and Mathey, Ludwig and Zhao, Erhai and Yelin, Susanne F and Mikhail Lemeshko},
journal = {Physical Review Letters},
number = {23},
publisher = {American Physical Society},
title = {{Erratum: Quantum phases of quadrupolar fermi gases in optical lattices}},
doi = {10.1103/PhysRevLett.111.239901},
volume = {111},
year = {2013},
}
@inproceedings{2181,
abstract = {There is a trade-off between performance and correctness in implementing concurrent data structures. Better performance may be achieved at the expense of relaxing correctness, by redefining the semantics of data structures. We address such a redefinition of data structure semantics and present a systematic and formal framework for obtaining new data structures by quantitatively relaxing existing ones. We view a data structure as a sequential specification S containing all "legal" sequences over an alphabet of method calls. Relaxing the data structure corresponds to defining a distance from any sequence over the alphabet to the sequential specification: the k-relaxed sequential specification contains all sequences over the alphabet within distance k from the original specification. In contrast to other existing work, our relaxations are semantic (distance in terms of data structure states). As an instantiation of our framework, we present two simple yet generic relaxation schemes, called out-of-order and stuttering relaxation, along with several ways of computing distances. We show that the out-of-order relaxation, when further instantiated to stacks, queues, and priority queues, amounts to tolerating bounded out-of-order behavior, which cannot be captured by a purely syntactic relaxation (distance in terms of sequence manipulation, e.g. edit distance). We give concurrent implementations of relaxed data structures and demonstrate that bounded relaxations provide the means for trading correctness for performance in a controlled way. The relaxations are monotonic which further highlights the trade-off: increasing k increases the number of permitted sequences, which as we demonstrate can lead to better performance. Finally, since a relaxed stack or queue also implements a pool, we actually have new concurrent pool implementations that outperform the state-of-the-art ones.},
author = {Henzinger, Thomas A and Kirsch, Christoph and Payer, Hannes and Sezgin, Ali and Sokolova, Ana},
booktitle = {Proceedings of the 40th annual ACM SIGPLAN-SIGACT symposium on Principles of programming language},
isbn = {978-1-4503-1832-7},
location = {Rome, Italy},
pages = {317 -- 328},
publisher = {ACM},
title = {{Quantitative relaxation of concurrent data structures}},
doi = {10.1145/2429069.2429109},
year = {2013},
}
@article{2204,
abstract = {We introduce a new platform for quantum simulation of many-body systems based on nonspherical atoms or molecules with zero dipole moments but possessing a significant value of electric quadrupole moments. We consider a quadrupolar Fermi gas trapped in a 2D square optical lattice, and show that the peculiar symmetry and broad tunability of the quadrupole-quadrupole interaction results in a rich phase diagram encompassing unconventional BCS and charge density wave phases, and opens up a perspective to create a topological superfluid. Quadrupolar species, such as metastable alkaline-earth atoms and homonuclear molecules, are stable against chemical reactions and collapse and are readily available in experiment at high densities.},
author = {Bhongale, Satyan G and Mathey, Ludwig and Zhao, Erhai and Yelin, Susanne F and Mikhail Lemeshko},
journal = {Physical Review Letters},
number = {15},
publisher = {American Physical Society},
title = {{Quantum phases of quadrupolar fermi gases in optical lattices}},
doi = {10.1103/PhysRevLett.110.155301},
volume = {110},
year = {2013},
}
@misc{2205,
abstract = {The goal of the present article is to review the major developments that have led to the current understanding of molecule-field interactions and experimental methods for manipulating molecules with electromagnetic fields. Molecule-field interactions are at the core of several, seemingly distinct areas of molecular physics. This is reflected in the organisation of this article, which includes sections on field control of molecular beams, external field traps for cold molecules, control of molecular orientation and molecular alignment, manipulation of molecules by non-conservative forces, ultracold molecules and ultracold chemistry, controlled many-body phenomena, entanglement of molecules and dipole arrays, and stability of molecular systems in high-frequency super-intense laser fields. The article contains 852 references.},
author = {Mikhail Lemeshko and Krems, Roman V and Doyle, John M and Kais, Sabre},
booktitle = {Molecular Physics},
number = {12-13},
pages = {1648 -- 1682},
publisher = {Taylor & Francis},
title = {{Manipulation of molecules with electromagnetic fields}},
doi = {10.1080/00268976.2013.813595},
volume = {111},
year = {2013},
}
@article{2206,
abstract = {Magnetic impurities embedded in inert solids can exhibit long coherence times and interact with one another via their intrinsic anisotropic dipolar interaction. We argue that, as a consequence of these properties, disordered ensembles of magnetic impurities provide an effective platform for realizing a controllable, tunable version of the dipolar quantum spin glass seen in LiHoxY1-xF4. Specifically, we propose and analyze a system composed of dysprosium atoms embedded in solid helium. We describe the phase diagram of the system and discuss the realizability and detectability of the quantum spin glass and antiglass phases.},
author = {Mikhail Lemeshko and Yao, Norman Y and Gorshkov, Alexey V and Weimer, Hendrik and Bennett, Steven D and Momose, Takamasa and Gopalakrishnan, Sarang},
journal = {Physical Review B - Condensed Matter and Materials Physics},
number = {1},
publisher = {American Physical Society},
title = {{Controllable quantum spin glasses with magnetic impurities embedded in quantum solids}},
doi = {10.1103/PhysRevB.88.014426},
volume = {88},
year = {2013},
}
@article{2207,
abstract = {The formation of molecules and supramolecular structures results from bonding by conservative forces acting among electrons and nuclei and giving rise to equilibrium configurations defined by minima of the interaction potential. Here we show that bonding can also occur by the non-conservative forces responsible for interaction-induced coherent population trapping. The bound state arises in a dissipative process and manifests itself as a stationary state at a preordained interatomic distance. Remarkably, such a dissipative bonding is present even when the interactions among the atoms are purely repulsive. The dissipative bound states can be created and studied spectroscopically in present-day experiments with ultracold atoms or molecules and can potentially serve for cooling strongly interacting quantum gases.},
author = {Mikhail Lemeshko and Weimer, Hendrik},
journal = {Nature Communications},
publisher = {Nature Publishing Group},
title = {{Dissipative binding of atoms by non-conservative forces}},
doi = {10.1038/ncomms3230},
volume = {4},
year = {2013},
}
@inproceedings{2210,
abstract = {A straight skeleton is a well-known geometric structure, and several algorithms exist to construct the straight skeleton for a given polygon. In this paper, we ask the reverse question: Given the straight skeleton (in form of a tree with a drawing in the plane, but with the exact position of the leaves unspecified), can we reconstruct the polygon? We show that in most cases there exists at most one polygon; in the remaining case there is an infinite number of polygons determined by one angle that can range in an interval. We can find this (set of) polygon(s) in linear time in the Real RAM computer model.},
author = {Biedl, Therese and Held, Martin and Huber, Stefan},
booktitle = {29th European Workshop on Computational Geometry},
location = {Braunschweig, Germany},
pages = {95 -- 98},
publisher = {TU Braunschweig},
title = {{Reconstructing polygons from embedded straight skeletons}},
year = {2013},
}
@inproceedings{2237,
abstract = {We describe new extensions of the Vampire theorem prover for computing tree interpolants. These extensions generalize Craig interpolation in Vampire, and can also be used to derive sequence interpolants. We evaluated our implementation on a large number of examples over the theory of linear integer arithmetic and integer-indexed arrays, with and without quantifiers. When compared to other methods, our experiments show that some examples could only be solved by our implementation.},
author = {Blanc, Régis and Gupta, Ashutosh and Kovács, Laura and Kragl, Bernhard},
location = {Stellenbosch, South Africa},
pages = {173 -- 181},
publisher = {Springer},
title = {{Tree interpolation in Vampire}},
doi = {10.1007/978-3-642-45221-5_13},
volume = {8312},
year = {2013},
}
@inproceedings{2243,
abstract = {We show that modal logic over universally first-order definable classes of transitive frames is decidable. More precisely, let K be an arbitrary class of transitive Kripke frames definable by a universal first-order sentence. We show that the global and finite global satisfiability problems of modal logic over K are decidable in NP, regardless of choice of K. We also show that the local satisfiability and the finite local satisfiability problems of modal logic over K are decidable in NEXPTIME.},
author = {Michaliszyn, Jakub and Otop, Jan},
location = {Torino, Italy},
pages = {563 -- 577},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
title = {{Elementary modal logics over transitive structures}},
doi = {10.4230/LIPIcs.CSL.2013.563},
volume = {23},
year = {2013},
}