Luca Fresta,Marcello Porta,Benjamin Schlein
Luca Fresta
We study the quantum evolution of many-body Fermi gases in three dimensions, in arbitrarily large domains. We consider both particles with non-relativistic and with relativistic dispersion. We focus on the high-density regime, in the semicl...
Giorgio Cipolloni,László Erdős,Dominik Schröder
Giorgio Cipolloni
In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool to test universality for disordered quantum systems, yet previous mathematical results have...
Historical Lattice Trees [0.03%]
历史上的格树模型
Manuel Cabezas,Alexander Fribergh,Mark Holmes et al.
Manuel Cabezas et al.
We prove that the rescaled historical processes associated to critical spread-out lattice trees in dimensions d>8 converge to historical Brownian motion. This is a functional limit theorem for measure-valued processes that encodes the genea...
A Gromov-Witten Theory for Simple Normal-Crossing Pairs Without Log Geometry [0.03%]
无对数几何的简单交错配对的Gromov-Witten理论
Hsian-Hua Tseng,Fenglong You
Hsian-Hua Tseng
We define a new Gromov-Witten theory relative to simple normal crossing divisors as a limit of Gromov-Witten theory of multi-root stacks. Several structural properties are proved including relative quantum cohomology, Givental formalism, Vi...
Doubling of Asymptotically Flat Half-spaces and the Riemannian Penrose Inequality [0.03%]
渐近平坦的半空间加倍与黎曼-彭若斯不等式
Michael Eichmair,Thomas Koerber
Michael Eichmair
Building on previous works of Bray, of Miao, and of Almaraz, Barbosa, and de Lima, we develop a doubling procedure for asymptotically flat half-spaces (M, g) with horizon boundary Σ⊂M and mass m∈R. If 3≤dim(M)≤7...
Ioana Coman,Elli Pomoni,Jörg Teschner
Ioana Coman
This paper describes the reconstruction of the topological string partition function for certain local Calabi-Yau (CY) manifolds from the quantum curve, an ordinary differential equation obtained by quantising their defining equations. Quan...
David Pérez-García,Antonio Pérez-Hernández
David Pérez-García
It is a generalized belief that there are no thermal phase transitions in short range 1D quantum systems. However, the only known case for which this is rigorously proven is for the particular case of finite range translationally invariant ...
Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades [0.03%]
乘积级联的随机几何中的一维盒维数计算
Kenneth J Falconer,Sascha Troscheit
Kenneth J Falconer
We investigate the box-counting dimension of the image of a set E ⊂ R under a random multiplicative cascade function f. The corresponding result for Hausdorff dimension was established by Benjamini and Schramm in the context of rando...
Twisted Chiral Algebras of Class [Formula: see text] and Mixed Feigin-Frenkel Gluing [0.03%]
扭曲的 chiral 代数和混合Feigin-Frenkel连接
Christopher Beem,Sujay Nair
Christopher Beem
The correspondence between four-dimensional N = 2 superconformal field theories and vertex operator algebras, when applied to theories of class S , leads to a rich family of VOAs that have been given the monicker chiral algebras of class S...
Quantum Chern-Simons Theories on Cylinders: BV-BFV Partition Functions [0.03%]
圆柱体上的量子陈-西蒙斯理论：BV-BFV分区函数
Alberto S Cattaneo,Pavel Mnev,Konstantin Wernli
Alberto S Cattaneo
We compute partition functions of Chern-Simons type theories for cylindrical spacetimes I × Σ , with I an interval and dim Σ = 4 l + 2 , in the BV-BFV formalism (a refinement of the Batalin-Vilkovisky formalism adapted to m...