Localization for a random walk in slowly decreasing random potential

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We consider a continuous time random walk $X$ in random environment on $\Z^+$ such that its potential can be approximated by the function $V: \R^+\to \R$ given by $Vx=\sig Wx -\frac{b}{1-\alf}x^{1-\alf}$ where $\sig W$ a Brownian motion with diffusion coefficient $\sig0$ and parameters $b$, $\alf$ are such that $b0$ and \$0

Autor: Christophe Gallesco; Serguei Popov; Gunter M. Schütz

Fuente: https://archive.org/