Subexponential tail asymptotics for a random walk with randomly placed one-way nodes

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 38, Issue 1, 2002, Pages 1-16

  Gantert, Nina ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Extreme values; Large deviations; Random walk in random environment

Indexed keywords

EID: 10344223015     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(01)01090-1     Document Type: Article

References (14)

1. Alili S., Asymptotic behaviour for random walks in random environments, J. Appl. Prob. 36 (1999) 1-16.
2. Alili S., Chassaing P., Homogenization or slow diffusion for random walks with reflecting barriers, Tech. Rept. No 27, Prépublications de l'institut Élie Cartan, URA CNRS n° 750, Université de Nancy, 1993.
3. Comets F., Gantert N., Zeitouni O., Quenched, annealed and functional large deviations for one dimensional random walk in random environment, Probab. Theory Relat. Fields 118 (2000)65-114.
4. Deheuvels P., On the Erdos-Ŕnyi Theorem for random fields and sequences and its relationships with the theory of runs and spacings, Zeitschrift für Wahrscheinlichkeitstheorie verw. Gebiete 70 (1985) 91-115.
5. Dembo A., Peres Y., Zeitouni O., Tail estimates for one-dimensional random walk in random environment, Commun. Math. Phys. 181 (1996) 667-683.
6. Gantert N., Zeitouni O., Quenched sub-exponential tail estimates for one-dimensional random walk in random environment, Commun. Math. Phys. 194 (1998) 177-190.
7. Gantert N., Zeitouni O., Large deviations for one-dimensional random walk in a random environment - a survey, in: Révész P., Tóth B. (Eds.), Random Walks, Bolyai Society Mathematical Studies, Vol. 8, 1999, pp. 127-165.
8. Greven A., den Hollander F., Large deviations for a random walk in random environment, Ann. Probab. 22 (1994) 1381-1428.
9. Klass M., The minimal growth rate of partial maxima, Ann. Probab. 12 (1984) 380-389.
10. Klass M., The Robbins-Siegmund series criterion for partial maxima, Ann. Probab. 13 (1985) 1369-1370.
11. Pisztora A., Povel T., Large deviation principle for random walk in a quenched environment in the low speed regime, Ann. Probab. 27 (1999) 1389-1413.
12. Pisztora A., Povel T., Zeitouni O., Precise large deviations estimates for one dimensional random walk in random environment, Probab. Theory Relat. Fields 113 (1999) 191-219.
13. Solomon F., Random walks in random environment, Ann. Probab. 3 (1975) 1-31.
14. Spitzer F., Principles of Random Walk, Springer, Berlin, 1976.