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...
Renato Renner,Ramona Wolf
Renato Renner
Consider two agents, Alice and Bob, each of whom takes a quantum input, operates on a shared quantum system K, and produces a quantum output. Alice and Bob's operations may commute, in the sense that the joint input-output behaviour is inde...
Matijn François,Alba Grassi
Matijn François
The topological string/spectral theory correspondence establishes a precise, non-perturbative duality between topological strings on local Calabi-Yau threefolds and the spectral theory of quantized mirror curves. While this duality has been...
Marine De Clerck,Oleg Evnin
Marine De Clerck
Gérard and Grellier proposed, under the name of the cubic Szegő equation, a remarkable classical field theory on a circle with a quartic Hamiltonian. The Lax integrability structure that emerges from their definition is so constraining th...
High-Contrast Random Composites: Homogenisation Framework and Spectral Convergence [0.03%]
高对比度随机复合材料的齐次化框架与谱收敛问题研究
Mikhail Cherdantsev,Kirill Cherednichenko,Igor Velčić
Mikhail Cherdantsev
We develop a framework for multiscale analysis of elliptic operators with high-contrast random coefficients. For a general class of such operators, we provide a detailed spectral analysis of the corresponding homogenised limit operator. Und...
Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms [0.03%]
随机圆内射线混沌过渡的间歇两点动力学现象
V P H Goverse,A J Homburg,J S W Lamb
V P H Goverse
We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamical characterisation of the transition from synchronisation (n...
Jock McOrist,Sebastien Picard
Jock McOrist
We analyse the α ' 2 corrections to the supersymmetry algebra constructed by Bergshoeff-de Roo for heterotic compactifications on SU ( 3 ) manifolds. The geometry is complex and conformally balanced. Starting from these supersymme...
Luca Fanelli,Xiaoyan Su,Ying Wang et al.
Luca Fanelli et al.
The main mathematical manifestation of the Stark effect in quantum mechanics is the shift and the formation of clusters of eigenvalues when a spherical Hamiltonian is perturbed by lower order terms. Understanding this mechanism turned out t...
A Classification of Intrinsic Ergodicity for Recognisable Random Substitution Systems [0.03%]
可识别随机代换系统的内在遍历性分类
P Gohlke,A Mitchell
P Gohlke
We study a class of dynamical systems generated by random substitutions, which contains both intrinsically ergodic systems and instances with several measures of maximal entropy. In this class, we show that the measures of maximal entropy a...