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Limit theorem 1 Local time 1 Random walk in random scenery 1
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Guillotin-Plantard, Nadine 1 Poisat, Julien 1
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Quenched central limit theorems for random walks in random scenery
Guillotin-Plantard, Nadine; Poisat, Julien - In: Stochastic Processes and their Applications 123 (2013) 4, pp. 1348-1367
Random walks in random scenery are processes defined by Zn:=∑k=1nωSk where S:=(Sk,k≥0) is a random walk evolving in Zd and ω:=(ωx,x∈Zd) is a sequence of i.i.d. real random variables. Under suitable assumptions on the random walk S and the random scenery ω, almost surely with respect to...
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