Søren Fournais,Błażej Ruba,Jan Philip Solovej
Søren Fournais
We study the ground state energy of a gas of N fermions confined to a unit box in d dimensions. The particles interact through a two-body potential with strength scaled in an N-dependent way as N - α v , where α ∈ R and ...
Stefano Marcantoni,Marcello Porta,Julien Sabin
Stefano Marcantoni
We study the dynamics of many-body Fermi systems, for a class of initial data which are close to quasi-free states exhibiting a nonvanishing pairing matrix. We focus on the mean-field scaling, which for fermionic systems is naturally couple...
Almost Sure GOE Fluctuations of Energy Levels for Hyperbolic Surfaces of High Genus [0.03%]
具高亏格双曲面上能量级的几乎确定GOE波动性质
Zeév Rudnick,Igor Wigman
Zeév Rudnick
We study the variance of a linear statistic of the Laplace eigenvalues on a hyperbolic surface, when the surface varies over the moduli space of all surfaces of fixed genus, sampled at random according to the Weil-Petersson measure. The ens...
László Erdős,Joscha Henheik,Jana Reker et al.
László Erdős et al.
We prove that a class of weakly perturbed Hamiltonians of the form H λ = H 0 + λ W , with W being a Wigner matrix, exhibits prethermalization. That is, the time evolution generated by H λ relaxes to its ultimate thermal st...
Matijn François,Alba Grassi
Matijn François
It is well established that the spectral analysis of canonically quantized four-dimensional Seiberg-Witten curves can be systematically studied via the Nekrasov-Shatashvili functions. In this paper, we explore another aspect of the relation...
Annegret Burtscher,Leonardo García-Heveling
Annegret Burtscher
In general relativity, time functions are crucial objects whose existence and properties are intimately tied to the causal structure of a spacetime and also to the initial value formulation of the Einstein equations. In this work we establi...
A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond [0.03%]
格罗斯-皮塔耶夫斯基体系及更高维度里玻色-爱因斯坦凝聚的简短证明
Christian Brennecke,Morris Brooks,Cristina Caraci et al.
Christian Brennecke et al.
We consider dilute Bose gases on the three-dimensional unit torus that interact through a pair potential with scattering length of order N κ - 1 , for some κ > 0 . For the range κ ∈ [ 0 , 1 43 ) , Adhikari et al. (...
Anton Alekseev,Florian Naef,Muze Ren
Anton Alekseev
Drinfeld defined the Knizhnik-Zamolodchikov (KZ) associator Φ KZ by considering the regularized holonomy of the KZ connection along the droit chemin [0, 1]. The KZ associator is a group-like element of the free associative algebra wit...
T D H van Nuland,R Stienstra
T D H van Nuland
Buchholz and Grundling (Commun Math Phys 272:699-750, 2007) introduced a C ∗ -algebra called the resolvent algebra as a canonical quantisation of a symplectic vector space and demonstrated that this algebra has several desirable feat...
Correction to: 'On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model' [0.03%]
《修正：“由随机非交换几何引起的多矩阵模型II：Yang-Mills-Higgs矩阵模型”》
请注意，这个翻译尽可能保持了原文标题的结构和含义，但由于中文表达习惯，可能会与原意有细微差别。在学术引用中，请根据具体情况进行调整或参考官方发布的译名。
Carlos I Perez-Sanchez
Carlos I Perez-Sanchez
[This corrects the article DOI: 10.1007/s00023-021-01138-w.]. © Springer Nature Switzerland AG 2024.
Published Erratum
Annales Henri Poincare. 2025;26(2):757-758. DOI:10.1007/s00023-024-01456-9 2025