论文信息 - On recurrence and transience of self-interacting random walks - 字舞流文

On recurrence and transience of self-interacting random walks

Y. Peres | S. Popov | Perla Sousi

[1] On a general many-dimensional excited random walk , 2010, 1001.1741.

[2] I. Benjamini,et al. A balanced excited random walk , 2010, 1009.0741.

[3] Silke W. W. Rolles,et al. RECURRENCE OF EDGE-REINFORCED RANDOM WALK ON A TWO-DIMENSIONAL GRAPH , 2007, math/0703027.

[4] Ofer Zeitouni,et al. Random Walks in Random Environment , 2009, Encyclopedia of Complexity and Systems Science.

[5] R. Hofstad,et al. Monotonicity for excited random walk in high dimensions , 2008, 0803.1881.

[6] On some generalized reinforced random walk on integers , 2008, 0803.1590.

[7] RECURRENCE AND TRANSIENCE OF EXCITED RAN- DOM WALKS ON Z AND STRIPS , 2006 .

[8] P. Tarres. Vertex-reinforced random walk on ℤ eventually gets stuck on five points , 2004, math/0410171.

[9] I. Benjamini,et al. Excited Random Walk , 2003, math/0302271.

[10] M. Benaim,et al. VERTEX-REINFORCED RANDOM WALKS AND A CONJECTURE OF PEMANTLE , 2002 .

[11] S. Volkov. Vertex-reinforced random walk on arbitrary graphs , 1999, math/9907196.

[12] Stanislav Volkov,et al. Vertex-reinforced random walk on Z has finite range , 1999 .

[13] G. Fayolle,et al. Topics in the Constructive Theory of Countable Markov Chains , 1995 .

[14] D. Vere-Jones. Markov Chains , 1972, Nature.

[15] C. Esseen. On the concentration function of a sum of independent random variables , 1968 .