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|Type:||Artigo de periódico|
|Title:||Localization for a Random Walk in Slowly Decreasing Random Potential|
|Abstract:||We consider a continuous time random walk X in a random environment on a'currency sign(+) such that its potential can be approximated by the function V:a'e(+)-> a'e given by where sigma W a Brownian motion with diffusion coefficient sigma > 0 and parameters b, alpha are such that b > 0 and 0 <alpha < 1/2. We show that P-a.s. (where P is the averaged law) with . In fact, we prove that by showing that there is a trap located around (with corrections of smaller order) where the particle typically stays up to time t. This is in sharp contrast to what happens in the 'pure' Sinai's regime, where the location of this trap is random on the scale ln(2) t.|
|Subject:||KMT strong coupling|
Brownian motion with drift
Random walk in random environment
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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