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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...
A moderate deviation principle for empirical bootstrap measure
Large deviations moderate deviations bootstrap empirical measure
2012/6/27
We establish two moderate deviation principles (MDP) in the bootstrap setting. We prove MDP for the joint distribution of the empirical measure and the empirical bootstrap measure (empirical measure o...
Moderate Deviation Principle for dynamical systems with small random perturbation
Freidlin-Wentzell’s theorem large deviations moderate deviations Talagrand’s transportation inequality
2011/9/14
Abstract: Consider the stochastic differential equation in $\rr^d$
dX^{\e}_t&=b(X^{\e}_t)dt+\sqrt{\e}\sigma(X^\e_t)dB_t
X^{\e}_0&=x_0,\quad x_0\in\rr^d
where $b:\rr^d\rightarrow\rr^d$ is $C^1$ s...
Selection of measure and a Large Deviation Principle for the general XY model
the general XY model Large Deviation Principle Dynamical Systems
2011/7/28
Selection of measure and a Large Deviation Principle for the general XY model.
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 ...
Large deviation principle for set-valued union processes
large deviations random closed sets Markov process convex hull
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...