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Oscillation of quenched slowdown asymptotics of random walks in random environment in Z

Ahn, Sung Won

<p>We consider a one dimensional random walk in a random environment (RWRE) with a positive speed lim<em>n</em>→∞ (<em>Xn/</em>) = υα > 0. Gantert and Zeitouni showed that if the environment has both positive and negative local drifts then the quenched slowdown probabilities <em>P</em> …

purdue-thes Repository record for Oscillation of quenched slowdown asymptotics of random walks in random environment in Z (opens in a new tab)

Random walk on uniform spanning tree and loop-erased random walk

Satomi, WatanabeKyoto University2024

kyoto Repository record for Random walk on uniform spanning tree and loop-erased random walk (opens in a new tab)