scholarly journals Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions

2008 ◽  
Vol 278 (2) ◽  
pp. 385-431 ◽  
Author(s):  
Martin T. Barlow ◽  
Antal A. Járai ◽  
Takashi Kumagai ◽  
Gordon Slade
Keyword(s):  
Random Walk ◽  
Oriented Percolation ◽  
High Dimensions ◽  
Infinite Cluster ◽  
Incipient Infinite Cluster

scholarly journals Random walk on the incipient infinite cluster on trees

2006 ◽  
Vol 50 (1-4) ◽  
pp. 33-65 ◽  
Author(s):  
Martin T. Barlow ◽  
Takashi Kumagai
Keyword(s):  
Random Walk ◽  
Infinite Cluster ◽  
Incipient Infinite Cluster

scholarly journals Construction of the Incipient Infinite Cluster for Spread-out Oriented Percolation Above 4 + 1 Dimensions

2002 ◽  
Vol 231 (3) ◽  
pp. 435-461 ◽  
Author(s):  
Remco van der Hofstad ◽  
Frank den Hollander ◽  
Gordon Slade
Keyword(s):  
Oriented Percolation ◽  
Infinite Cluster ◽  
Incipient Infinite Cluster

scholarly journals Diffusion limits of the random walk Metropolis algorithm in high dimensions

2012 ◽  
Vol 22 (3) ◽  
pp. 881-930 ◽  
Author(s):  
Jonathan C. Mattingly ◽  
Natesh S. Pillai ◽  
Andrew M. Stuart
Keyword(s):  
Random Walk ◽  
Metropolis Algorithm ◽  
High Dimensions ◽  
Random Walk Metropolis ◽  
Diffusion Limits ◽  
Random Walk Metropolis Algorithm

scholarly journals The diffusion of self-avoiding random walk in high dimensions

1987 ◽  
Vol 110 (4) ◽  
pp. 661-683 ◽  
Author(s):  
Gordon Slade
Keyword(s):  
Random Walk ◽  
High Dimensions

scholarly journals Geometry controlled anomalous diffusion in random fractal geometries: looking beyond the infinite cluster

2015 ◽  
Vol 17 (44) ◽  
pp. 30134-30147 ◽  
Author(s):  
Yousof Mardoukhi ◽  
Jae-Hyung Jeon ◽  
Ralf Metzler
Keyword(s):  
Random Walk ◽  
Percolation Threshold ◽  
Anomalous Diffusion ◽  
Infinite Cluster ◽  
Random Fractal

We study the strongly non-ergodic effects of a random walk on a percolation geometry below, at, and above the percolation threshold.

scholarly journals Directed random walk on the backbone of an oriented percolation cluster

2013 ◽  
Vol 18 (0) ◽  
Author(s):  
Matthias Birkner ◽  
Jiri Cerny ◽  
Andrej Depperschmidt ◽  
Nina Gantert
Keyword(s):  
Random Walk ◽  
Percolation Cluster ◽  
Oriented Percolation
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