Limit theorems for random walks under irregular conductance

作者：Fukasawa Masaaki^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2013, 89(8): 87-91.

DOI：10.3792/pjaa.89.87

• Arc-sine law
• empirical moment
• random conductance
• weak convergence

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.

• 出版日期2013-10