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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Coupling by change of measures for dimension-free Harnack inequality
无维 哈纳克不等式 测度 耦合
2023/5/12
简要介绍概率论中的耦合方法及其在基础数学中的应用。引入新的变测度耦合，以简单的随机微分方程为例，将其应用于建立无穷维Harnack不等式、Bisnut导数公式和分布积分公式。
Information-Theoretically Optimal Compressed Sensing via Spatial Coupling and Approximate Message Passing
Compressed sensing random sensing matrix the space coupling space coupling
2015/8/21
We study the compressed sensing reconstruction problem for a broad class of random, banddiagonal sensing matrices. This construction is inspired by the idea of spatial coupling in coding theory. As de...
Gibbs Sampling, Conjugate Priors and Coupling
Gibbs sampling conjugate clairvoyance coupling
2015/7/7
Gibbs Sampling, Conjugate Priors and Coupling。
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
nonlinear hyperbolic equations Multi-component coupling multidimensional well-balanced schemes Analysis of PDEs
2012/6/14
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling
closure approximation slow dynamics multiscale system linear coupling
2011/9/14
Abstract: Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer slowly evolv...
An Embedded Boundary method for the conservative coupling of a compressible flow and a rigid body
Embedded Boundary method conservative coupling compressible flow rigid body
2011/2/28
This paper deals with a new ctitious domain coupling algorithm between a rigid body and an unsteady compressible uid ow.
The coupling of topology and inflation in Noncommutative Cosmology
coupling of topology inflation Noncommutative Cosmology
2011/3/2
We show that, in a model of modi ed gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and in ation, in the sense that the shape of the possible sl...
This paper presents a self-contained account for coupling arguments and ap-plications in the context of Markov processes. We first use coupling to describe the transport problem, which leads to the co...
The application of the pseudostate-close-coupling method using a non-orthogonal Laguerre-L^2 basis for electron-helium scattering
Differential and total cross sections Elastic and excitation
2010/9/25
Differential and total cross sections for elastic and excitation from the ground state to n ≤ 2 states of atomic helium by electrons are computed for incident energies in the range from 5 to 50 eV. Th...
The celebrated Kuramoto model captures various synchronization phenomena in biological and man-made dynamical systems of coupled oscillators. It is well-known that there exists a critical coupling st...
Invariant Monotone Coupling Need Not Exist
Invariant Monotone Coupling Need Not Exist math
2010/11/15
We show by example that there is a Cayley graph and two invariant random subgraphs $X$ and $Y$ of it such that there exists a monotone coupling between them in the sense that $X \subset Y$ but no suc...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Coupling Property and Gradient Estimates of Lévy Processes via the Symbol
Coupling Property Gradient Estimates Lévy Processes via the Symbol
2010/11/11
We derive explicitly the coupling property for the transition semigroup of a L\'evy process and gradient estimates for the associated semigroup of transition operators. This is based on the asymptoti...
On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background
Duffin-Kemmer-Petiau theory nonminimal coupling Klein’s paradox
2010/12/1
The problem of spin-0 and spin-1 bosons in the background of a general mixing of minimal and
nonminimal vector inversely linear potentials is explored in a unified way in the context of the Duffin-Ke...
Coupling solutions of BGG-equations in conformal spin geometry
overdetermined systems conformal spin geometry twistor spinors conformal Killing fields conformal Killing forms
2010/12/1
BGG-equations are geometric overdetermined systems of PDEs on parabolic geometries. Normal solutions of BGG-equations are particularly interesting and we give a simple formula for the necessary and su...