@article{2281,
abstract = {We consider two-dimensional Bose-Einstein condensates with attractive interaction, described by the Gross-Pitaevskii functional. Minimizers of this functional exist only if the interaction strength a satisfies {Mathematical expression}, where Q is the unique positive radial solution of {Mathematical expression} in {Mathematical expression}. We present a detailed analysis of the behavior of minimizers as a approaches a*, where all the mass concentrates at a global minimum of the trapping potential.},
author = {Guo, Yujin and Seiringer, Robert},
journal = {Letters in Mathematical Physics},
number = {2},
pages = {141 -- 156},
publisher = {Springer},
title = {{On the mass concentration for Bose-Einstein condensates with attractive interactions}},
doi = {10.1007/s11005-013-0667-9},
volume = {104},
year = {2014},
}
@article{2285,
abstract = {GABAergic inhibitory interneurons control fundamental aspects of neuronal network function. Their functional roles are assumed to be defined by the identity of their input synapses, the architecture of their dendritic tree, the passive and active membrane properties and finally the nature of their postsynaptic targets. Indeed, interneurons display a high degree of morphological and physiological heterogeneity. However, whether their morphological and physiological characteristics are correlated and whether interneuron diversity can be described by a continuum of GABAergic cell types or by distinct classes has remained unclear. Here we perform a detailed morphological and physiological characterization of GABAergic cells in the dentate gyrus, the input region of the hippocampus. To achieve an unbiased and efficient sampling and classification we used knock-in mice expressing the enhanced green fluorescent protein (eGFP) in glutamate decarboxylase 67 (GAD67)-positive neurons and performed cluster analysis. We identified five interneuron classes, each of them characterized by a distinct set of anatomical and physiological parameters. Cross-correlation analysis further revealed a direct relation between morphological and physiological properties indicating that dentate gyrus interneurons fall into functionally distinct classes which may differentially control neuronal network activity.},
author = {Hosp, Jonas and Strüber, Michael and Yanagawa, Yuchio and Obata, Kunihiko and Vida, Imre and Jonas, Peter M and Bartos, Marlene},
journal = {Hippocampus},
number = {2},
pages = {189 -- 203},
publisher = {Wiley-Blackwell},
title = {{Morpho-physiological criteria divide dentate gyrus interneurons into classes}},
doi = {10.1002/hipo.22214},
volume = {23},
year = {2014},
}
@article{2407,
abstract = {Two definitions of the effective mass of a particle interacting with a quantum field, such as a polaron, are considered and shown to be equal in models similar to the Fröhlich polaron model. These are: 1. the mass defined by the low momentum energy E(P)≈E(0)+P2/2 M of the translation invariant system constrained to have momentum P and 2. the mass M of a simple particle in an arbitrary slowly varying external potential, V, described by the nonrelativistic Schrödinger equation, whose ground state energy equals that of the combined particle/field system in a bound state in the same V.},
author = {Lieb, Élliott and Seiringer, Robert},
journal = {Journal of Statistical Physics},
number = {1-2},
pages = {51 -- 57},
publisher = {Springer},
title = {{Equivalence of two definitions of the effective mass of a polaron}},
doi = {10.1007/s10955-013-0791-z},
volume = {154},
year = {2014},
}
@article{248,
abstract = {For any pencil of conics or higher-dimensional quadrics over ℚ, with all degenerate fibres defined over ℚ, we show that the Brauer–Manin obstruction controls weak approximation. The proof is based on the Hasse principle and weak approximation for some special intersections of quadrics over ℚ, which is a consequence of recent advances in additive combinatorics.},
author = {Timothy Browning and Matthiesen, Lilian and Skorobogatov, Alexei N},
journal = {Annals of Mathematics},
number = {1},
pages = {381 -- 402},
publisher = {John Hopkins University Press},
title = {{Rational points on pencils of conics and quadrics with many degenerate fibres}},
doi = {https://doi.org/10.4007/annals.2014.180.1.8},
volume = {180},
year = {2014},
}
@article{249,
abstract = {A version of the Hardy-Littlewood circle method is developed for number fields K/ℚ and is used to show that nonsingular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8. },
author = {Timothy Browning and Vishe, Pankaj},
journal = {Duke Mathematical Journal},
number = {10},
pages = {1825 -- 1883},
publisher = {Duke University Press},
title = {{Cubic hypersurfaces and a version of the circle method for number fields}},
doi = {10.1215/00127094-2738530},
volume = {163},
year = {2014},
}
@article{252,
abstract = {For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.},
author = {Timothy Browning and Jones, Michael S},
journal = {Acta Arithmetica},
number = {3},
pages = {271 -- 298},
publisher = {Instytut Matematyczny},
title = {{Counting rational points on del Pezzo surfaces with a conic bundle structure}},
doi = {10.4064/aa163-3-6},
volume = {163},
year = {2014},
}
@article{254,
abstract = {A new "polynomial sieve" is presented and used to show that almost all integers have at most one representation as a sum of two values of a given polynomial of degree at least 3.},
author = {Timothy Browning},
journal = {International Mathematics Research Notices},
number = {7},
pages = {1987 -- 2019},
publisher = {Oxford University Press},
title = {{The polynomial sieve and equal sums of like polynomials}},
doi = {10.1093/imrn/rnt350},
volume = {2015},
year = {2014},
}
@article{255,
abstract = {We investigate the Hasse principle for complete intersections cut out by a quadric hypersurface and a cubic hypersurface defined over the rational numbers.},
author = {Timothy Browning and Dietmann, Rainer and Heath-Brown, Roger},
journal = {Journal of the Institute of Mathematics of Jussieu},
number = {4},
pages = {703 -- 749},
publisher = {Cambridge University Press},
title = {{Rational points on intersections of cubic and quadric hypersurfaces}},
doi = {10.1017/S1474748014000127},
volume = {14},
year = {2014},
}
@article{2699,
abstract = {We prove the universality of the β-ensembles with convex analytic potentials and for any β >
0, i.e. we show that the spacing distributions of log-gases at any inverse temperature β coincide with those of the Gaussian β-ensembles.},
author = {Erdös, László and Bourgade, Paul and Yau, Horng},
journal = {Duke Mathematical Journal},
number = {6},
pages = {1127 -- 1190},
publisher = {Duke University Press},
title = {{Universality of general β-ensembles}},
doi = {10.1215/00127094-2649752},
volume = {163},
year = {2014},
}
@article{2716,
abstract = {Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we study the strategy synthesis problem for games with such multi-dimensional objectives along with a parity condition, a canonical way to express ω ω -regular conditions. While in general, the winning strategies in such games may require infinite memory, for synthesis the most relevant problem is the construction of a finite-memory winning strategy (if one exists). Our main contributions are as follows. First, we show a tight exponential bound (matching upper and lower bounds) on the memory required for finite-memory winning strategies in both multi-dimensional mean-payoff and energy games along with parity objectives. This significantly improves the triple exponential upper bound for multi energy games (without parity) that could be derived from results in literature for games on vector addition systems with states. Second, we present an optimal symbolic and incremental algorithm to compute a finite-memory winning strategy (if one exists) in such games. Finally, we give a complete characterization of when finite memory of strategies can be traded off for randomness. In particular, we show that for one-dimension mean-payoff parity games, randomized memoryless strategies are as powerful as their pure finite-memory counterparts.},
author = {Chatterjee, Krishnendu and Randour, Mickael and Raskin, Jean},
journal = {Acta Informatica},
number = {3-4},
pages = {129 -- 163},
publisher = {Springer},
title = {{Strategy synthesis for multi-dimensional quantitative objectives}},
doi = {10.1007/s00236-013-0182-6},
volume = {51},
year = {2014},
}