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Large Deviations for the Ground State of Weakly Interacting Bose Gases
We consider the ground state of a Bose gas of N particles on the three-dimensional unit torus in the mean-field regime that is known to exhibit...
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Canonical Typicality for Other Ensembles than Micro-canonical
We generalize Lévy’s lemma, a concentration-of-measure result for the uniform probability distribution on high-dimensional spheres, to a much more...
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Theoretical and computational models for Saturn’s co-orbiting moons, Janus and Epimetheus
Two moons of Saturn, Janus and Epimetheus, are in co-orbital motion, exchanging orbits approximately every four Earth years as the inner moon...
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The Double Semion State in Infinite Volume
We describe in a simple setting how to extract a braided tensor category from a collection of superselection sectors of a two-dimensional quantum...
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The dynamics about asteroid (162173) Ryugu
The dynamical environment around the asteroid (162173) Ryugu is analyzed in detail using a constant-density polyhedron model based on the...
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Dynamics and Wong-Zakai Approximations of Stochastic Nonlocal PDEs with Long Time Memory
In this paper, a combination of Galerkin’s method and Dafermos’ transformation is first used to prove the existence and uniqueness of solutions for a...
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Admissibility via Induced Delay Equations
We give a new characterization of the existence of an exponential dichotomy for the class of induced delay equations , introduced recently in Barreira...
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On the Stability of Killing Cylinders in Hyperbolic Space
In this paper we study the stability of a Killing cylinder in hyperbolic 3-space when regarded as a capillary surface for the partitioning problem....
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Time Functions on Lorentzian Length Spaces
In general relativity, time functions are crucial objects whose existence and properties are intimately tied to the causal structure of a spacetime...
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A Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond
We consider dilute Bose gases on the three-dimensional unit torus that interact through a pair potential with scattering length of order
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Harmonic Morphisms from Fefferman Spaces
We study a ramification of a phenomenon discovered by Baird and Eells (in: Looijenga et al (eds) Geometry Symposium Utrecht 1980. Lecture Notes in...
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Spectral Convergence of the Dirac Operator on Typical Hyperbolic Surfaces of High Genus
In this article, we study the Dirac spectrum of typical hyperbolic surfaces of finite area, equipped with a nontrivial spin structure (so that the...
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