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 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 Local time on the exceptional set of dynamical percolation and the incipient infinite cluster

2015 ◽  
Vol 43 (6) ◽  
pp. 2949-3005
Author(s):  
Alan Hammond ◽  
Gábor Pete ◽  
Oded Schramm
Keyword(s):  
Local Time ◽  
Exceptional Set ◽  
Infinite Cluster ◽  
Incipient Infinite Cluster ◽  
Dynamical Percolation

The Incipient Infinite Cluster for High-Dimensional Unoriented Percolation

2004 ◽  
Vol 114 (3/4) ◽  
pp. 625-663 ◽  
Author(s):  
Remco van der Hofstad ◽  
Antal A. Járai
Keyword(s):  
High Dimensional ◽  
Infinite Cluster ◽  
Incipient Infinite Cluster
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