@article{2314, abstract = {Autism spectrum disorders are a genetically heterogeneous constellation of syndromes characterized by impairments in reciprocal social interaction. Available somatic treatments have limited efficacy. We have identified inactivating mutations in the gene BCKDK (Branched Chain Ketoacid Dehydrogenase Kinase) in consanguineous families with autism, epilepsy, and intellectual disability. The encoded protein is responsible for phosphorylation-mediated inactivation of the E1α subunit of branched-chain ketoacid dehydrogenase (BCKDH). Patients with homozygous BCKDK mutations display reductions in BCKDK messenger RNA and protein, E1α phosphorylation, and plasma branched-chain amino acids. Bckdk knockout mice show abnormal brain amino acid profiles and neurobehavioral deficits that respond to dietary supplementation. Thus, autism presenting with intellectual disability and epilepsy caused by BCKDK mutations represents a potentially treatable syndrome.}, author = {Gaia Novarino and El-Fishawy, Paul and Kayserili, Hülya and Meguid, Nagwa A and Scott, Eric M and Schroth, Jana and Silhavy, Jennifer L and Kara, Majdi and Khalil, Rehab O and Ben-Omran, Tawfeg I and Ercan-Sencicek, Adife G and Hashish, Adel F and Sanders, Stephan J and Gupta, Abha R and Hashem, Hebatalla S and Matern, Dietrich and Gabriel, Stacey B and Sweetman, Lawrence and Rahimi, Yasmeen and Harris, Robert A and State, Matthew W and Gleeson, Joseph G}, journal = {Science}, number = {6105}, pages = {394 -- 397}, publisher = {American Association for the Advancement of Science}, title = {{Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy}}, doi = {10.1126/science.1224631}, volume = {338}, year = {2012}, } @article{2318, abstract = {We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. }, author = {Seiringer, Robert}, journal = {Journal of Spectral Theory}, number = {3}, pages = {321--328}, publisher = {European Mathematical Society}, title = {{Absence of bound states implies non-negativity of the scattering length}}, doi = {10.4171/JST/31}, volume = {2}, year = {2012}, } @inproceedings{2317, abstract = {We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. }, author = {Frank, Rupert L and Hainzl, Christian and Robert Seiringer and Solovej, Jan P}, pages = {575 -- 583}, publisher = {World Scientific Publishing}, title = {{Microscopic derivation of the Ginzburg-Landau model}}, doi = {10.1142/9789814449243_0060}, year = {2012}, } @inproceedings{2316, abstract = {We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density. }, author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Thomas, Lawrence E}, pages = {477 -- 485}, publisher = {World Scientific Publishing}, title = {{Ground state properties of multi-polaron systems}}, doi = {10.1142/9789814449243_0045}, year = {2012}, } @article{237, abstract = {The Manin conjecture is established for Châtelet surfaces over Q aris-ing as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation.}, author = {de la Bretèche, Régis and Timothy Browning and Peyre, Emmanuel}, journal = {Annals of Mathematics}, number = {1}, pages = {297 -- 343}, publisher = {Princeton University Press}, title = {{On Manin's conjecture for a family of Châtelet surfaces}}, doi = {10.4007/annals.2012.175.1.8}, volume = {175}, year = {2012}, } @article{238, abstract = {For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q.}, author = {Baier, Stephan and Timothy Browning}, journal = {Functiones et Approximatio, Commentarii Mathematici}, number = {2}, pages = {267 -- 286}, publisher = {Adam Mickiewicz University Press}, title = {{Inhomogeneous quadratic congruences}}, doi = {10.7169/facm/2012.47.2.9}, volume = {47}, year = {2012}, } @inbook{2399, abstract = {Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures. }, author = {Robert Seiringer}, booktitle = {Quantum Many Body Systems}, editor = {Rivasseau, Vincent and Robert Seiringer and Solovej, Jan P and Spencer, Thomas}, pages = {55 -- 92}, publisher = {Springer}, title = {{Cold quantum gases and bose einstein condensation}}, doi = {10.1007/978-3-642-29511-9_2}, volume = {2051}, year = {2012}, } @article{2394, abstract = {We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For cosh (δ μ/T) ≤ 2, with T the temperature and δμ the chemical potential difference, the question of existence of non-trivial solutions can be reduced to spectral properties of a linear operator, similar to the unpolarized case studied previously in [Frank, R. L., Hainzl, C., Naboko, S., and Seiringer, R., J., Geom. Anal.17, 559-567 (2007)10.1007/BF02937429; Hainzl, C., Hamza, E., Seiringer, R., and Solovej, J. P., Commun., Math. Phys.281, 349-367 (2008)10.1007/s00220-008-0489-2; and Hainzl, C. and Seiringer, R., Phys. Rev. B77, 184517-110 435 (2008)]10.1103/PhysRevB.77.184517. For cosh (δ μ/T) > 2 the phase diagram is more complicated, however. We derive upper and lower bounds for the critical temperature, and study their behavior in the small coupling limit.}, author = {Freiji, Abraham and Hainzl, Christian and Robert Seiringer}, journal = {Journal of Mathematical Physics}, number = {1}, publisher = {American Institute of Physics}, title = {{The gap equation for spin-polarized fermions}}, doi = {10.1063/1.3670747}, volume = {53}, year = {2012}, } @article{2395, abstract = {We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. }, author = {Frank, Rupert L and Hainzl, Christian and Robert Seiringer and Solovej, Jan P}, journal = {Journal of the American Mathematical Society}, number = {3}, pages = {667 -- 713}, publisher = {American Mathematical Society}, title = {{Microscopic derivation of Ginzburg-Landau theory}}, doi = {10.1090/S0894-0347-2012-00735-8}, volume = {25}, year = {2012}, } @article{2396, abstract = {A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of -Δ and, with Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009), a bound was given in the case of finite range potentials and sufficiently low temperature. In this paper, we improve the bound and extend it to potentials of infinite range.}, author = {Landon, Benjamin and Robert Seiringer}, journal = {Letters in Mathematical Physics}, number = {3}, pages = {237 -- 243}, publisher = {Springer}, title = {{The scattering length at positive temperature}}, doi = {10.1007/s11005-012-0566-5}, volume = {100}, year = {2012}, } @misc{2398, abstract = {We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time.}, author = {Jakšić, Vojkan and Ogata, Yoshiko and Pillet, Claude A and Robert Seiringer}, booktitle = {Reviews in Mathematical Physics}, number = {6}, publisher = {World Scientific Publishing}, title = {{Quantum hypothesis testing and non-equilibrium statistical mechanics}}, doi = {10.1142/S0129055X12300026}, volume = {24}, year = {2012}, } @article{2397, abstract = {We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs.}, author = {Hainzl, Christian and Robert Seiringer}, journal = {Letters in Mathematical Physics}, number = {2}, pages = {119 -- 138}, publisher = {Springer}, title = {{Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs}}, doi = {10.1007/s11005-011-0535-4}, volume = {100}, year = {2012}, } @article{240, abstract = {We investigate the frequency of positive squareful numbers x, y, z≤B for which x+y=z and present a conjecture concerning its asymptotic behavior.}, author = {Timothy Browning and Valckenborgh, K Van}, journal = {Experimental Mathematics}, number = {2}, pages = {204 -- 211}, publisher = {Taylor & Francis}, title = {{Sums of three squareful numbers}}, doi = {10.1080/10586458.2011.605733}, volume = {21}, year = {2012}, } @article{2400, abstract = {If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2.}, author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer}, journal = {Communications in Mathematical Physics}, number = {2}, pages = {405 -- 424}, publisher = {Springer}, title = {{Binding of polarons and atoms at threshold}}, doi = {10.1007/s00220-012-1436-9}, volume = {313}, year = {2012}, } @article{2403, abstract = {We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose-Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers and strong interactions the wavefunction extends over the whole interval. A high density of scatterers and weak interactions, on the other hand, lead to localization of the wavefunction in a fragmented subset of the interval.}, author = {Robert Seiringer and Yngvason, Jakob and Zagrebnov, Valentin A}, journal = {Journal of Statistical Mechanics Theory and Experiment}, number = {11}, publisher = {IOP Publishing Ltd.}, title = {{Disordered Bose-Einstein condensates with interaction in one dimension}}, doi = {10.1088/1742-5468/2012/11/P11007}, volume = {2012}, year = {2012}, } @article{2402, abstract = {We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from below by a constant times the integral of the particle density to the power.}, author = {Frank, Rupert L and Robert Seiringer}, journal = {Journal of Mathematical Physics}, number = {9}, publisher = {American Institute of Physics}, title = {{Lieb-Thirring inequality for a model of particles with point interactions}}, doi = {10.1063/1.3697416}, volume = {53}, year = {2012}, } @article{2401, abstract = {We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].}, author = {Lieb, Élliott H and Robert Seiringer}, journal = {Journal of Statistical Physics}, number = {1}, pages = {86 -- 91}, publisher = {Springer}, title = {{Further implications of the Bessis-Moussa-Villani conjecture}}, doi = {10.1007/s10955-012-0585-8}, volume = {149}, year = {2012}, } @article{2411, abstract = {The kingdom of fungi provides model organisms for biotechnology, cell biology, genetics, and life sciences in general. Only when their phylogenetic relationships are stably resolved, can individual results from fungal research be integrated into a holistic picture of biology. However, and despite recent progress, many deep relationships within the fungi remain unclear. Here, we present the first phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion to strengthen phylogenetic conclusions. We reason that branches (splits) recovered with independent data and different tree reconstruction methods are likely to reflect true evolutionary relationships. Two complementary phylogenomic data sets based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed with four different tree reconstruction methods shed light from different angles on the fungal tree of life. Eleven additional data sets address specifically the phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes, respectively. The combined evidence from the resulting trees supports the deep-level stability of the fungal groups toward a comprehensive natural system of the fungi. In addition, our analysis reveals methodologically interesting aspects. Enrichment for EST encoded data-a common practice in phylogenomic analyses-introduces a strong bias toward slowly evolving and functionally correlated genes. Consequently, the generalization of phylogenomic data sets as collections of randomly selected genes cannot be taken for granted. A thorough characterization of the data to assess possible influences on the tree reconstruction should therefore become a standard in phylogenomic analyses.}, author = {Ebersberger, Ingo and De Matos Simoes, Ricardo and Kupczok, Anne and Gube, Matthias and Kothe, Erika and Voigt, Kerstin and Von Haeseler, Arndt}, journal = {Molecular Biology and Evolution}, number = {5}, pages = {1319 -- 1334}, publisher = {Oxford University Press}, title = {{A consistent phylogenetic backbone for the fungi}}, doi = {10.1093/molbev/msr285}, volume = {29}, year = {2012}, } @article{241, abstract = {The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Châtelet surfaces over ℚ.}, author = {de la Bretèche, Régis and Timothy Browning}, journal = {Israel Journal of Mathematics}, number = {2}, pages = {973 -- 1012}, publisher = {Springer}, title = {{Binary forms as sums of two squares and Châtelet surfaces}}, doi = {10.1007/s11856-012-0019-y}, volume = {191}, year = {2012}, } @article{242, abstract = {We investigate the first and second moments of shifted convolutions of the generalized divisor function d 3(n).}, author = {Baier, Stephan and Timothy Browning and Marasingha, Gihan and Zhao, Liangyi}, journal = {Proceedings of the Edinburgh Mathematical Society}, number = {3}, pages = {551 -- 576}, publisher = {Cambridge University Press}, title = {{Averages of shifted convolutions of d3 (n)}}, doi = {10.1017/S001309151100037X}, volume = {55}, year = {2012}, }