Covariant Quantum Combinatorics with Applications to Zero-Error Communication [0.03%]
协变量子组合学及其在零错误通信中的应用
Dominic Verdon
Dominic Verdon
We develop the theory of quantum (a.k.a. noncommutative) relations and quantum (a.k.a. noncommutative) graphs in the finite-dimensional covariant setting, where all systems (finite-dimensional C ∗ -algebras) carry an action of a comp...
Søren Eilers,Sophie Emma Zegers
Søren Eilers
The quantum lens spaces form a natural and well-studied class of noncommutative spaces which can be subjected to classification using algebraic invariants by drawing on the fully developed classification theory of unital graph C ∗ -a...
Michele Del Zotto,Matteo Dell&#x;Acqua,Elias Riedel Gårding
Michele Del Zotto
Generalized symmetries of quantum field theories can be characterized by topological defects/operators organized into a higher category. In this paper we consider the Axion-Maxwell field theory in four dimensions and, building on the constr...
On the Past Maximal Development of Near-FLRW Data for the Einstein Scalar-Field Vlasov System [0.03%]
具标量场的爱因斯坦方程Vlasov系统的接近FLRW数据的最大发展存在性及其性质
David Fajman,Liam Urban
David Fajman
We show that the maximal globally hyperbolic development of near-FLRW initial data for the Einstein scalar-field Vlasov system exhibits stable Big Bang formation in the collapsing direction. The solutions exhibit stable Kretschmann scalar b...
Timothy Moy
Timothy Moy
Motivated by known examples of Joyce structures on spaces of meromorphic quadratic differentials, we consider the isomonodromic deformations of particular second-order linear ODEs with rational potential. We show the infinitesimal isomonodr...
Well-Posedness of the Stochastic Thin-Film Equation with an Interface Potential [0.03%]
带界面位势的随机薄膜方程的适定性问题
Antonio Agresti,Max Sauerbrey
Antonio Agresti
We consider strictly positive solutions to a class of fourth-order conservative quasilinear SPDEs on the d-dimensional torus modeled after the stochastic thin-film equation. We prove local Lipschitz estimates in Bessel potential spaces unde...
Fabrizio Caragiulo,Vieri Mastropietro,Marcello Porta
Fabrizio Caragiulo
We consider two-dimensional topological insulators on the cylinder, in the presence of weak quasi-periodic disorder. In the absence of disorder, we assume the presence of a single edge state on the boundary of the system, as for the Haldane...
On Point Spectrum of Jacobi Matrices Generated by Iterations of Quadratic Polynomials [0.03%]
由二次多项式迭代生成的Jacobi矩阵的点谱
Benjamin Eichinger,Milivoje Lukić,Peter Yuditskii
Benjamin Eichinger
In general, point spectrum of an almost periodic Jacobi matrix can depend on the element of the hull. In this paper, we study the hull of the limit-periodic Jacobi matrix corresponding to the equilibrium measure of the Julia set of the poly...
Eric Cancès,Alfred Kirsch,Solal Perrin-Roussel
Eric Cancès
We provide a mathematical analysis of the Dynamical Mean-Field Theory (DMFT), a celebrated representative of a class of approximations in quantum mechanics known as embedding methods. Within the simplest setting of this approximation, which...
Alice Guionnet,Jiaoyang Huang
Alice Guionnet
In this paper we study the asymptotic behavior of the (skew) Macdonald and Jack symmetric polynomials as the number of variables grows to infinity. We characterize their limits in terms of certain variational problems. As an intermediate st...