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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.
This is an attempt to compress the over 900 pages of the complete proof of the conjecture to less than 150 pages.
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...
We consider the Fast Di usion 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...
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...

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