Recurrence and transience of excited random walks on zd and strips

Electronic Communications in Probability

Volumn 11, Issue , 2006, Pages 118-128

  Zerner, Martin P W ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

Blocking technique; Domain of attraction of the normal law; Mixing sequence; Skorohod embedding; Truncation

Indexed keywords

EID: 33745875322     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v11-1200     Document Type: Article

References (12)

1. G. Amir, I. Benjamini and G. Kozma (2005). Excited random walk against a wall. Preprint. math.PR/0509464
2. T. Antal and S. Redner (2005). The excited random walk in one dimension. J. Phys. A: Math. Gen. 38, 2555-2577
3. I. Benjamini and D.B. Wilson (2003). Excited random walk. Elect. Comm. Probab. 8, 86-92
4. G. Kozma (2003). Excited random walk in three dimensions has positive speed. Preprint, math.PR/0310305
5. G. Kozma (2005). Excited random walk in two dimensions has linear speed. Preprint, math.PR/0512535
6. S. P. Meyn and R. L. Tweedie (1993). Markov Chains and Stochastic Stability. Springer.
7. A.G. Pakes (1971). On the critical Galton-Watson process with immigration. J. Austral. Math. Soc. 12, 476-482.
8. T. Sellke (1994). Reinforced random walk on the d-dimensional integer lattice. Technical report #94-26, Dept. of Statistics, Purdue University.
9. A.-S. Sznitman and M.P.W. Zerner (1999). A law of large numbers for random walks in random environment. Ann. Probab. 27, No. 4, 1851-1869
10. M.P.W. Zerner (2005). Multi-excited random walks on integers. Probab. Theory Related Fields 133, 98-122
11. M.P.W. Zerner and F. Merkl (2001). A zero-one law for planar random walks in random environment. Ann. Probab. 29, 1716-1732.
12. A. Zubkov (1972). The life spans of a branching process with immigration. Theory Prob. Appl. 17, 174-183