Excited random walk against a wall

Gideon Amir, Itai Benjamini, Gady Kozma

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We analyze random walk in the upper half of a three-dimensional lattice which goes down whenever it encounters a new vertex, a.k.a. excited random walk. We show that it is recurrent with an expected number of returns of √log t.

Original languageEnglish
Pages (from-to)83-102
Number of pages20
JournalProbability Theory and Related Fields
Issue number1-2
StatePublished - Jan 2008
Externally publishedYes


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