Random walks in random environments

Abstract

Random walks in random environments (RWRE's) have been a source of surprising phenomena and challenging problems since they began to be studied in the 70's. Hitting times and, more recently, certain regeneration structures, have played a major role in our understanding of RWRE's. We review these and provide some hints on current research directions and challenges.

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• Central limit theorem for T-graphs
• Strassen's invariance principle for random walk in random environment