Moment of inertia of doubly connecting bonds in two-dimensional bond percolation

1990 ◽  
Vol 23 (11) ◽  
pp. L551-L555 ◽  
Author(s):  
J D Miller
Keyword(s):  
Moment Of Inertia ◽  
Bond Percolation ◽  
Two Dimensional

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

Dynamic shear modulus for two-dimensional bond percolation

1988 ◽  
Vol 37 (7) ◽  
pp. 3710-3712 ◽  
Author(s):  
L. C. Allen ◽  
B. Golding ◽  
W. H. Haemmerle
Keyword(s):  
Shear Modulus ◽  
Dynamic Shear Modulus ◽  
Bond Percolation ◽  
Two Dimensional ◽  
Dynamic Shear

Bond percolation for homogeneous two-dimensional lattices

2010 ◽  
Vol 389 (8) ◽  
pp. 1512-1520 ◽  
Author(s):  
E.E. Vogel ◽  
W. Lebrecht ◽  
J.F. Valdés
Keyword(s):  
Bond Percolation ◽  
Two Dimensional

scholarly journals Extreme paths in oriented two-dimensional percolation

2016 ◽  
Vol 53 (2) ◽  
pp. 369-380 ◽  
Author(s):  
E. D. Andjel ◽  
L. F. Gray
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Contact Process ◽  
Bond Percolation ◽  
Two Dimensional ◽  
Site Percolation ◽  
Correlation Inequality

Abstract A useful result about leftmost and rightmost paths in two-dimensional bond percolation is proved. This result was introduced without proof in Gray (1991) in the context of the contact process in continuous time. As discussed here, it also holds for several related models, including the discrete-time contact process and two-dimensional site percolation. Among the consequences are a natural monotonicity in the probability of percolation between different sites and a somewhat counter-intuitive correlation inequality.

Uniqueness in two-dimensional rigidity percolation

2001 ◽  
Vol 130 (1) ◽  
pp. 175-188 ◽  
Author(s):  
OLLE HÄGGSTRÖM
Keyword(s):  
Triangular Lattice ◽  
Bond Percolation ◽  
Two Dimensional ◽  
Retention Parameter ◽  
Rigidity Percolation ◽  
Rigid Component

For bond percolation on the two-dimensional triangular lattice with arbitrary retention parameter p ∈ [0, 1], we show that the number of infinite rigid components is a.s. at most 1. This proves a conjecture by Holroyd. Further results, concerning simultaneous uniqueness, and continuity (in p) of the probability that a given edge is in an infinite rigid component, are also obtained.

Bond percolation in two-dimensional quasi-lattices

1987 ◽  
Vol 20 (14) ◽  
pp. 4985-4993 ◽  
Author(s):  
H Aoyama ◽  
T Odagaki
Keyword(s):  
Bond Percolation ◽  
Two Dimensional
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