Technion, IEM faculty

- Seminar in Probability and Stochastic Processes

Speaker: Eviatar Procaccia, Weizmann Institute

Title:   The need for speed : Maximizing random walks speed on fixed
environments

Date:    29/11/2011

Time:    11:30

Place:   Hashmal-861

Abstract:  <http://ie.technion.ac.il/seminar_files/1321433028_E.txt>

We study nearest neighbor random walks on fixed environments of
$\mathbb{Z}$ composed of two point types :
$(\frac{1}{2},\frac{1}{2})$ and $(p,1-p)$ for $p>\frac{1}{2}$.
We show that for every environment with density of $p$ drifts
bounded by $\lam$ we have
$\limsup_{n\rightarrow\infty}\frac{X_n}{n}\leq (2p-1)\lam$,
where $X_n$ is a random walk on the environment. In addition up
to some integer effect the environment which gives the best
speed is given by equally spaced drifts

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