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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homogenization of a front propagation model in dynamic environments
动态环境 前端传播模型 均质化 一阶哈密尔顿-雅可比方程
2023/4/18
In this talk I will review the developments of homogenization theory for a front propagation model. It is described by a first order Hamilton-Jacobi equation with a Hamiltonian that grows linearly wit...
Analysis of Belief Propagation for Non-Linear Problems: The Example of CDMA (or: How to Prove Tanaka’s Formula)
Binary signal and white gaussian noise spread sequence scheme of linear time
2015/8/21
We consider the CDMA (code-division multipleaccess) multi-user detection problem for binary signals and additive white gaussian noise. We propose a spreading sequences scheme based on random sparse si...
Extending cutoff resolvent estimates via propagation of singularities
cutoff resolvent estimates propagation of singularities Analysis of PDEs
2011/9/9
Abstract: We use a gluing method developed in joint work with Andr\'as Vasy to show that polynomially bounded cutoff resolvent estimates at the real axis imply, up to a constant factor, the same estim...
Semianalytic theory of self-similar optical propagation and mode locking using a shape-adaptive model pulse
adaptive model pulse Semianalytic theory self-similar optical propagation mode locking
2011/7/7
A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be co...
Propagation of analyticity for a class of nonlinear hyperbolic equations
Propagation of analyticity class of nonlinear hyperbolic equations
2011/2/22
We consider the hyperbolic semilinear equations of the form @m t u + a1(t) @m−1 t @xu + · · · + am(t) @m x u = f(u),f(u) entire analytic.