scholarly journals Vanishing of the anchored isoperimetric profile in bond percolation at $p_{c}$

2020 ◽  
Vol 25 (0) ◽  
Author(s):  
Raphaël Cerf ◽  
Barbara Dembin
Keyword(s):  
Bond Percolation ◽  
Isoperimetric Profile

Bond percolation in±JIsing square lattices diluted by frustration

1998 ◽  
Vol 58 (13) ◽  
pp. 8475-8480 ◽  
Author(s):  
E. E Vogel ◽  
S. Contreras ◽  
M. A. Osorio ◽  
J. Cartes ◽  
F. Nieto ◽  
...  
Keyword(s):  
Bond Percolation

scholarly journals Phase transitions in a two-component site-bond percolation model

2000 ◽  
Vol 62 (13) ◽  
pp. 8719-8724 ◽  
Author(s):  
H. M. Harreis ◽  
W. Bauer
Keyword(s):  
Phase Transitions ◽  
Percolation Model ◽  
Bond Percolation ◽  
Two Component

Site-bond percolation in two-dimensional kagome lattices: Analytical approach and numerical simulations

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
M. I. González-Flores ◽  
A. A. Torres ◽  
W. Lebrecht ◽  
A. J. Ramirez-Pastor
Keyword(s):  
Numerical Simulations ◽  
Analytical Approach ◽  
Bond Percolation ◽  
Two Dimensional

scholarly journals Pathogen Mutation Modeled by Competition Between Site and Bond Percolation

2013 ◽  
Vol 110 (10) ◽  
Author(s):  
Laurent Hébert-Dufresne ◽  
Oscar Patterson-Lomba ◽  
Georg M. Goerg ◽  
Benjamin M. Althouse
Keyword(s):  
Bond Percolation

Critical Probabilities of 1-Independent Percolation Models

2012 ◽  
Vol 21 (1-2) ◽  
pp. 11-22 ◽  
Author(s):  
PAUL BALISTER ◽  
BÉLA BOLLOBÁS
Keyword(s):  
Infinite Graph ◽  
Percolation Model ◽  
Bond Percolation ◽  
Locally Finite

Given a locally finite connected infinite graphG, let the interval [pmin(G),pmax(G)] be the smallest interval such that ifp>pmax(G), then every 1-independent bond percolation model onGwith bond probabilityppercolates, and forp<pmin(G) none does. We determine this interval for trees in terms of the branching number of the tree. We also give some general bounds for other graphsG, in particular for lattices.

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