Self-repellent random walks and polymer measures in two dimensions

Author(s):  
A. Stoll
Keyword(s):  

1984 ◽  
Vol 30 (3) ◽  
pp. 1626-1628 ◽  
Author(s):  
Imtiaz Majid ◽  
Daniel Ben- Avraham ◽  
Shlomo Havlin ◽  
H. Eugene Stanley


1995 ◽  
Vol 222 (1-4) ◽  
pp. 152-154 ◽  
Author(s):  
Gaoyuan Wei
Keyword(s):  


1998 ◽  
Vol 81 (25) ◽  
pp. 5489-5492 ◽  
Author(s):  
Bertrand Duplantier


2006 ◽  
Vol 34 (1) ◽  
pp. 219-263 ◽  
Author(s):  
Amir Dembo ◽  
Yuval Peres ◽  
Jay Rosen ◽  
Ofer Zeitouni
Keyword(s):  




2004 ◽  
Vol 160 (2) ◽  
pp. 433-464 ◽  
Author(s):  
Amir Dembo ◽  
Yuval Peres ◽  
Jay Rosen ◽  
Ofer Zeitouni


2007 ◽  
Vol 07 (01) ◽  
pp. 53-74 ◽  
Author(s):  
MARCO LENCI

We discuss the question of recurrence for persistent, or Newtonian, random walks in ℤ2, i.e. random walks whose transition probabilities depend both on the walker's position and incoming direction. We use results by Tóth and Schmidt–Conze to prove recurrence for a large class of such processes, including all "invertible" walks in elliptic random environments. Furthermore, rewriting our Newtonian walks as ordinary random walks in a suitable graph, we gain a better idea of the geometric features of the problem, and obtain further examples of recurrence.







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