scholarly journals Phase Transition in Reinforced Random Walk and RWRE on Trees

1988 ◽  
Vol 16 (3) ◽  
pp. 1229-1241 ◽  
Author(s):  
Robin Pemantle
Keyword(s):  
Phase Transition ◽  
Random Walk ◽  
Reinforced Random Walk

scholarly journals Phase transition for the Once-reinforced random walk on $\mathbb{Z}^{d}$-like trees

2018 ◽  
Vol 46 (4) ◽  
pp. 2121-2133 ◽  
Author(s):  
Daniel Kious ◽  
Vladas Sidoravicius
Keyword(s):  
Phase Transition ◽  
Random Walk ◽  
Reinforced Random Walk

scholarly journals A phase transition in the random transposition random walk

2005 ◽  
Vol 136 (2) ◽  
pp. 203-233 ◽  
Author(s):  
Nathanaël Berestycki ◽  
Rick Durrett
Keyword(s):  
Phase Transition ◽  
Random Walk ◽  
Random Transposition

Random-walk model of the phase transition of hydrocarbon chains on a lattice

1981 ◽  
Vol 23 (2) ◽  
pp. 897-907 ◽  
Author(s):  
Sofia D. Merajver ◽  
Ellen D. Yorke ◽  
Andrew G. De Rocco
Keyword(s):  
Phase Transition ◽  
Random Walk ◽  
Random Walk Model ◽  
Hydrocarbon Chains

Once edge-reinforced random walk on a tree

2002 ◽  
Vol 122 (4) ◽  
pp. 567-592 ◽  
Author(s):  
Rick Durrett ◽  
Harry Kesten ◽  
Vlada Limic
Keyword(s):  
Random Walk ◽  
Reinforced Random Walk

Phase transition in anisotropic coupled random walk

1984 ◽  
Vol 100 (6) ◽  
pp. 279-282 ◽  
Author(s):  
Horacio S. Wio ◽  
Manuel O. Cáceres
Keyword(s):  
Phase Transition ◽  
Random Walk

scholarly journals Sharpness of the Phase Transition for the Orthant Model

2021 ◽  
Vol 24 (4) ◽  
Author(s):  
Thomas Beekenkamp
Keyword(s):  
Phase Transition ◽  
Random Walk ◽  
Critical Value ◽  
Percolation Model ◽  
Critical Threshold ◽  
Directed Percolation ◽  
Sharp Threshold ◽  
Shape Theorem ◽  
Exponentially Small

AbstractThe orthant model is a directed percolation model on $\mathbb {Z}^{d}$ ℤ d , in which all clusters are infinite. We prove a sharp threshold result for this model: if p is larger than the critical value above which the cluster of 0 is contained in a cone, then the shift from 0 that is required to contain the cluster of 0 in that cone is exponentially small. As a consequence, above this critical threshold, a shape theorem holds for the cluster of 0, as well as ballisticity of the random walk on this cluster.

Reinforced random walk

1990 ◽  
Vol 84 (2) ◽  
pp. 203-229 ◽  
Author(s):  
Burgess Davis
Keyword(s):  
Random Walk ◽  
Reinforced Random Walk

One-Dimensional Random Walk with Phase Transition

1981 ◽  
Vol 40 (3) ◽  
pp. 485-497 ◽  
Author(s):  
O. E. Percus ◽  
J. K. Percus
Keyword(s):  
Phase Transition ◽  
Random Walk ◽  
One Dimensional
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