Exact-enumeration approach to random walks on percolation clusters in two dimensions

1984 ◽  
Vol 30 (3) ◽  
pp. 1626-1628 ◽  
Author(s):  
Imtiaz Majid ◽  
Daniel Ben- Avraham ◽  
Shlomo Havlin ◽  
H. Eugene Stanley
Keyword(s):  
Random Walks ◽  
Two Dimensions ◽  
Exact Enumeration ◽  
Percolation Clusters

scholarly journals Exact enumeration and scaling for fragmentation of percolation clusters

1992 ◽  
Vol 46 (10) ◽  
pp. 6252-6264 ◽  
Author(s):  
Boyd F. Edwards ◽  
Mark F. Gyure ◽  
M. Ferer
Keyword(s):  
Exact Enumeration ◽  
Percolation Clusters

Exact enumeration of random walks with traps

1984 ◽  
Vol 17 (6) ◽  
pp. L347-L350 ◽  
Author(s):  
S Havlin ◽  
G H Weiss ◽  
J E Kiefer ◽  
M Dishon
Keyword(s):  
Random Walks ◽  
Exact Enumeration

Breakdown of Alexander-Orbach conjecture for percolation: Exact enumeration of random walks on percolation backbones

1984 ◽  
Vol 30 (7) ◽  
pp. 4083-4086 ◽  
Author(s):  
Daniel C. Hong ◽  
Shlomo Havlin ◽  
Hans J. Herrmann ◽  
H. Eugene Stanley
Keyword(s):  
Random Walks ◽  
Exact Enumeration

Random Walks and Quantum Gravity in Two Dimensions

1998 ◽  
Vol 81 (25) ◽  
pp. 5489-5492 ◽  
Author(s):  
Bertrand Duplantier
Keyword(s):  
Quantum Gravity ◽  
Random Walks ◽  
Two Dimensions

scholarly journals Late points for random walks in two dimensions

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

Diffusion on Self-Similar Structures

Fractals ◽  
1997 ◽  
Vol 05 (03) ◽  
pp. 379-393 ◽  
Author(s):  
H. Eduardo Roman
Keyword(s):  
Random Walks ◽  
Probability Density ◽  
Analytical Solutions ◽  
Asymptotic Form ◽  
Theoretical Framework ◽  
Percolation Clusters ◽  
Self Similar

Diffusion on self-similar structures is reviewed within a unified theoretical framework. Much attention is devoted to the asymptotic form of the probability density of random walks on fractals, for which analytical solutions are discussed. New predictions for the structure of percolation clusters at criticality are presented.

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