A bound for the distribution of the hitting time of arbitrary sets by random walk

Electronic Communications in Probability

Volumn 9, Issue , 2004, Pages 152-161

  Járai, Antal A ^a   Kesten, Harry ^b  

^a CARLETON UNIVERSITY   (Canada)

^b Cornell University ^*  (United States)

Author keywords

Exit time; Hitting time; Random walk; Sandpile model

Indexed keywords

EID: 8844231111     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v9-1119     Document Type: Article

References (5)

1. Athreya, S.R. and Jarai, A.A. (2004) Infinite volume limit for the stationary distribution of Abelian sandpile models, Commun. Math. Phys. 249, 197-213.
2. Dinges, H. (1963) Eine kombinatorische Überlegung und ihre maßtheoretische Erweiterung, Z. Wahrsch. verw. Gebiete 1, 278-287.
3. Jarai, A.A. and Redig, F. (2004) Infinite volume limits of high-dimensional sandpile models, preprint, arxiv.org:math.PR/0408060.
4. Kesten, H. and Sidoravicius, V. (2003) Branching random walk with catalysts, Elec. J. Probab. 8, paper # 5.
5. Spitzer, F. (2001) Principles of Random Walk, 2nd edition, Springer-Verlag.