Multi-excited random walks on integers

Probability Theory and Related Fields

Volumn 133, Issue 1, 2005, Pages 98-122

  Zerner, Martin P W ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

Excited Random Walk; Law of Large Numbers; Perturbed Random Walk; Recurrence; Self Interacting Random Walk; Transience

Indexed keywords

EID: 23844506656     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-004-0417-0     Document Type: Article

References (12)

1. Benjamini, I., Wilson, D.B.: Excited random walk. Elect. Comm. Probab. 8, 86-92 (2003)
2. Davis, B.: Brownian motion and random walk perturbed at extrema. Probab. Theory Related Fields 113, 501-518 (1999)
3. Davis, B., Volkov, S.: Continuous time vertex-reinforced jump processes. Probab. Theory Related Fields 123, 281-300 (2002)
4. Durrett, R.: Probability: Theory and Examples. Pacific Grove, Calif.: Wadsworth & Brooks/Cole Advanced Books & Software, 1991
5. Feller, W.: An Introduction to Probability Theory and its Applications Vol. 1, 3rd ed., 1970
6. Kozma, G.: Excited random walk in three dimensions has positive speed. Preprint, 2003
7. Perman, M., Werner, W: Perturbed Brownian motions. Probab. Theory Related Fields 108, 357-383 (1997)
8. Solomon, F.: Random walks in a random environment. Ann. Probab. 3, 1-31 (1975)
9. Sznitman, A.-S.: Topics in Random Walks in Random Environment. School and Conference on Probability Theory, ICTP Lecture Notes Series, Trieste, 203-266 (2004)
10. Sznitman, A.-S., Zerner, M.P.W.: A law of large numbers for random walks in random environment. Ann. Probab. 27 (4), 1851-1869 (1999)
11. Volkov, S.: Excited random walk on trees. Electr. J. Prob, paper 23, 2003
12. Zeitouni, O.: Random walks in random environment, XXXI Summer school in probability, St Flour, 2001. Lecture Notes in Mathematics 1837 193-312 (2004) (Springer)