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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements I: Large deviation principle of occupation measures
随机交错 大偏差 占用措施 大偏差原则
2023/5/10
In this lecture, I will talk about the large deviation problems in random interlacements, in particular the LDP of the occupation measure, and discuss its relations to sharp asymptotic probabilities o...
Large Deviation Theory for a Homogenized and "Corrected" Elliptic ODE
Differential equations probability theory random coefficients
2011/1/18
We study a one-dimensional elliptic problem with highly oscillatory random diffusion coefficient. We derive a homogenized solution and a so-called Gaussian corrector.We also prove a “pointwise” large ...
Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition
Inviscid Large deviation principle the 2D Navier Stokes equations
2010/11/23
Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root ...
Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures
Interpolating Thin-Shell Sharp Large-Deviation Estimates Isotropic Log-Concave Measures
2010/11/9
Given an isotropic random vector $X$ with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of $|X|$. We show in particular that: \[ \P(|X| \geq (1+t) \sqrt{n}) ...
Large deviation principles for non gradient weakly asymmetric stochastic lattice gases
deviation principles gradient weakly lattice gases
2010/11/11
We consider a lattice gas on the discrete d-dimensional torus (Z/NZ)^d with a generic translation invariant, finite range interaction satisfying a uniform strong mixing condition. The lattice gas perf...
Large deviation properties of weakly interacting processes via weak convergence methods
Large deviation properties weakly interacting processes weak convergence methods
2010/12/14
We study large deviation properties of systems of weakly interacting particles modeled by Itô stochastic differential equations (SDEs).It is known under certain conditions that the corresponding...
Large deviation results for Multitype Galton-Watson trees
Tree-indexed Markov chain Tree-indexed process random tree
2010/12/7
Using the notion of consistency of empirical measures, under fairly general assumption we
prove a joint large deviation principles in n for the empirical pair measure and empirical
offspring measure...
In this note we prove a large deviation result for a perturbed discontinuous inhomogeneous system which complements[1].