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Fluctuations of the Quenched Mean of a Planar Random Walk in an I.i.d. Random Environment with Forbidden Direction by Joseph, Mathew is a scholarly article available to read on EtoBox.

What is Fluctuations of the Quenched Mean of a Planar Random Walk in an I.i.d. Random Environment with Forbidden Direction about?

We consider an i.i.d. random environment with a strong form of transience on the two dimensional integer lattice. Namely, the walk always moves forward in the y-direction. We prove a functional CLT for the quenched expected position of the random walk indexed by its level crossing times. We begin with a variation of the Martingale Central Limit Theorem. The main part of the paper checks the conditions of the theorem for our problem.

Author

Joseph, Mathew

Published

2008

Language

EN