Dualities Useful in Bond Percolation
-
Pedro Ferreira de Lima
limapf@yahoo.com.br
-
Andr´e Toom
toom@de.ufpe.br
Downloads
Abstract
We state four facts about dual pairs of graphs drawn in a plane. These facts pertain respectively to finite non-oriented, infinite non-oriented, finite oriented, and infinite oriented graphs. We do not include proofs of the former two facts (although we have them), but show that these facts are “evident” in some naive sense. Then we deduce the latter two facts from the former two ones. All of these facts can be used to obtain upper estimations for critical values of two-dimensional percolation models and we present three references and one example to illustrate this.
Keywords
Similar Articles
- Najoua Gamara, Ali Ben Ahmed, Aribi Amine, A New proof of the CR Pohožaev Identity and related Topics , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Saulius Minkevicius, Analysis of the Component-Based Reliability in Computer Networks , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Fernando Cardoso, Claudio Cuevas, Georgi Vodev, Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- D. Le Peutrec, Small singular values of an extracted matrix of a Witten complex , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Juhani Riihentaus, On an inequality related to the radial growth of subharmonic functions , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Mircea Balaj, Donal O‘Regan, An Intersection Theorem and its Applications , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Jito Vanualailai, Bibhya Sharma, Moving a Robot Arm: An interesting application of the Direct method of Lyapunov , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Aurelian Cernea, On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Man Chun Leung, Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Yaroslav Kurylev, Matti Lassas, Multidimensional Gel'fand Inverse Boundary Spectral Problem: Uniqueness and Stability , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2008-10-01
How to Cite
[1]
P. Ferreira de Lima and A. Toom, “Dualities Useful in Bond Percolation”, CUBO, vol. 10, no. 3, pp. 93–102, Oct. 2008.
Issue
Section
Articles
