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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
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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...
Can Large Deviation Theory be Used for Estimating Data Complexity?
block ciphers cryptanalysis data complexity
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2016/5/17
Statistical analysis of attacks on block ciphers have mostly used normal approximations. A few recent works have proposed doing away with normal approximations and instead use Chernoff and Hoeffding b...
Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
Statistics turbulent coherent structures mechanical model the model of two-dimensional fluid motion
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2014/12/29
We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves....
Selection of measure and a Large Deviation Principle for the general XY model
the general XY model Large Deviation Principle Dynamical Systems
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2011/7/28
Selection of measure and a Large Deviation Principle for the general XY model.
Large Deviation Theory for a Homogenized and "Corrected" Elliptic ODE
Differential equations probability theory random coefficients
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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
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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
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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
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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
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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
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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...
Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients
Well-posedness large deviation SDEs Sobolev coefficients
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2010/3/11
In this article we prove the existence and uniqueness for degenerate stochastic differential
equations with Sobolev (possibly singular) drift and diffusion coefficients in a generalized
sense. In pa...
Large deviation approximations for maximum likelihood estimators
Large deviation approximations maximum likelihood estimators
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2009/9/24
Large deviation approximations for maximum likelihood estimators。
Large deviation principle for set-valued union processes
large deviations random closed sets Markov process convex hull
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2009/9/22
The purpose of the paper is to establish a large deviation
principle for a certain class of increasing set-valued processes
obeying Markovian dynamics. The obtained result is then applied to
invest...
The rate of convergence in the precise large deviation theorem
Limit theorems large deviations subexponential distributions
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2009/9/21
Let XI, X,, . .. be i.i.d. random variables with a commondf.
P.LetS,=X,+ ...+ X,,n>1,andMm=max,s,Xk,n21.
In this paper for a large class of subexponential distributions we estimate
the rate of conv...
Large deviation theorems for weighted compound Poisson sums
Large deviation expansions compound process weighted sums saddlepoint method
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2009/9/21
In this paper we present two large deviation results for
weighted compound sums L:, aiXi, where Xis are i.i.d. (possibly
lattice) random variables, a;s are non-negative real numbers, and N is
a Poi...