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math.PR2008★ 2 cited
Limit law of the local time for Brox's diffusion
Pierre Andreoletti, Roland Diel
We consider Brox's model: a one-dimensional diffusion in a Brownian potential W. We show that the normalized local time process (L(t;m_(log t) + x)=t; x \in R), where m_(log t) is…
math.PR2008
Constants of concentration for a simple recurrent random walk on random environment
Pierre Andreoletti
We clarify the asymptotic of the limsup of the size of the neighborhood of concentration of Sinai's walk improving the result in \cite{Pierre3}. Also we get the almost sure limit o…