On a zero-one law for the norm process of transient random walk

2009/07/15 by Matsumoto, Ayako, Yano, Kouji
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.0907.2588

Abstract

A zero-one law of Engelbert--Schmidt type is proven for the norm process of a transient random walk. An invariance principle for random walk local times and a limit version of Jeulin's lemma play key roles.

Related

• Limit laws for transient random walks in random environment on \z
• Local asymptotics for the time of first return to the origin of\n transient random walk
• Invariance Principle and recurrence for random walks in random environments with zero local drift
• Transient nearest neighbor random walk and Bessel process
• Limit theorems for one-dimensional transient random walks in Markov environments