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In and Out of Equilibrium 2An Inequality for Oriented 2-D Percolation

In and Out of Equilibrium 2: An Inequality for Oriented 2-D Percolation [We consider a Bernoulli oriented percolation model on the subgraph of ℤ2 consisting of the points whose coordinates add up to an even number. In this model, each point (m, n) of this graph is the origin of two oriented bonds whose end points are (m+1, n+1) and (m-1, n+1). We show that the probability that there is an open path from (0,0) to (2i, 2n) decreases strictly as i increases from 0 to n.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

In and Out of Equilibrium 2An Inequality for Oriented 2-D Percolation

Part of the Progress in Probability Book Series (volume 60)
Editors: Sidoravicius, Vladas; Vares, Maria Eulália
Andjel, Enrique D.; Sued, Mariela
In and Out of Equilibrium 2 — Jan 1, 2008
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References (10)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2008
ISBN
978-3-7643-8785-3
Pages
21 –30
DOI
10.1007/978-3-7643-8786-0_2
Publisher site
See Chapter on Publisher Site

Abstract

[We consider a Bernoulli oriented percolation model on the subgraph of ℤ2 consisting of the points whose coordinates add up to an even number. In this model, each point (m, n) of this graph is the origin of two oriented bonds whose end points are (m+1, n+1) and (m-1, n+1). We show that the probability that there is an open path from (0,0) to (2i, 2n) decreases strictly as i increases from 0 to n.]

Published: Jan 1, 2008

Keywords: Oriented percolation; strict inequalities; 60K35

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