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CENTRAL LIMIT THEOREM FOR RECURRENT RANDOM WALKS ON A STRIP WITH BOUNDED POTENTIAL
RANDOM WALKS CENTRAL LIMIT THEOREM
2015/9/29
We prove that a recurrent random walk (RW) in i.i.d. random
environment (RE) on a strip which does not obey the Sinai law exhibits the
Central Limit asymptotic behaviour.
Overview of the proof of the bounded L^2 curvature conjecture
L^2 curvature conjecture Overview
2014/4/3
This is an attempt to compress the over 900 pages of the complete proof of the conjecture to less than 150 pages.
Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms
Jump-type Hunt process semi-Dirichlet form censored pro-cess stable-like process
2012/4/16
Let $E$ be a locally compact separable metric space and $m$ be a positive Radon measure on it. Given a nonnegative function $k$ defined on $E\times E$ off the diagonal whose anti-symmetric part is ass...
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Nonlinear evolution singular parabolic fast diusion Harnack asymptotics
2011/1/18
We consider the Fast Diusion Equation ut = um posed in a bounded smooth domain
Rd with homogeneous Dirichlet conditions; the exponent range is ms = (d 2)+=(d + 2) < m < 1.It is known...
Sharp Norm Inequality for Bounded Submartingales and Stochastic Integrals
Martingale Submartingale Stochastic integral Norm inequality Differential subordination
2010/1/22
Let be a fixed number and be a nonnegative submartingale bounded from above by . Assume is a process satisfying, with probability , We provide a sharp bound for the first moment of the proc...