Limit theorems for random walks under irregular conductance. (English) Zbl 1292.60097

Summary: For a general one-dimensional random walk with state-dependent transition probabilities, we present weak limits of the empirical moments of conductance along the path of the random walk. In particular we obtain remarkably simple quenched convergences under random conductance model.


60K37 Processes in random environments
60F05 Central limit and other weak theorems
Full Text: DOI Euclid


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