Abstract： Masur proved that if a Teichmüller geodesic is recurrent in the moduli space then it has a uniquely ergodic vertical foliation. This is a basic result in Teichmüller dynamics. However, i
Abstract： We consider the Facilitated Exclusion Process (FEP) in one dimension, which is an interacting particle system with degenerate rates. In this model, a particle could jump if and only i
Introduction Last semester, we talk about the basic theory of isomonodromic deformations of Fuchsian systems. In this semester, we will continue this topic and present the Isomonodromy/CFT
Introduction This course will offer a fundamental understanding of security of block ciphers. Advanced Encryption Standard (AES) is currently one of the most researched block ciphers in academia an
Introduction AI for Science is promoting the transformation of scientific research paradigm, which has a great impact on the research of forward and inverse problems related to partial differential
Introduction In classical mechanics, we study the evolution of a given system in configuration space. The properties of this space are described by Euclidean, projective, Riemannian, pseudo an
Abstract The notion of Frobenius manifold was essentially found by Kyoji Saito, and axiomatized by Dubrovin. Frobenius manifolds play an important role in algebraic geometry, singularity theory an
Speaker Intro Yuval Peres obtained his PhD in 1990 from the Hebrew University, Jerusalem. He was a postdoctoral fellow at Stanford and Yale, and was then a Professor of Mathematics and Statistics i...
讲座摘要 Using an augmented covariance matrix as a bridge, we prove that the covariance matrix of asset returns can be isomorphic to a block diagonalized matrix, which enables market portfolio as
Introduction Scattering amplitudes sit at the intersection of experimental physics, theoretical physics, and pure mathematics. Besides being directly useful at particle colliders or gravitational
