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In and Out of Equilibrium 2Box-Crossings and Continuity Results for Self-Destructive Percolation in the Plane

In and Out of Equilibrium 2: Box-Crossings and Continuity Results for Self-Destructive... [A few years ago (see [1]) two of us introduced, motivated by the study of certain forest-fire processes, the self-destructive percolation model (abbreviated as sdp model). A typical configuration for the sdp model with parameters p and δ is generated in three steps: First we generate a typical configuration for the ordinary site percolation model with parameter p. Next, we make all sites in the infinite occupied cluster vacant. Finally, each site that was already vacant in the beginning or made vacant by the above action, becomes occupied with probability δ (independent of the other sites).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

In and Out of Equilibrium 2Box-Crossings and Continuity Results for Self-Destructive Percolation in the Plane

Part of the Progress in Probability Book Series (volume 60)
Editors: Sidoravicius, Vladas; Vares, Maria Eulália
van den Berg, J.; Brouwer, R.; Vágvölgyi, B.
In and Out of Equilibrium 2 — Jan 1, 2008
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References (9)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2008
ISBN
978-3-7643-8785-3
Pages
117 –135
DOI
10.1007/978-3-7643-8786-0_6
Publisher site
See Chapter on Publisher Site

Abstract

[A few years ago (see [1]) two of us introduced, motivated by the study of certain forest-fire processes, the self-destructive percolation model (abbreviated as sdp model). A typical configuration for the sdp model with parameters p and δ is generated in three steps: First we generate a typical configuration for the ordinary site percolation model with parameter p. Next, we make all sites in the infinite occupied cluster vacant. Finally, each site that was already vacant in the beginning or made vacant by the above action, becomes occupied with probability δ (independent of the other sites).]

Published: Jan 1, 2008

Keywords: Percolation; RSW results; box crossings; 60K35; 82B43

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