PERCOLATION TRANSITION AND TOPOLOGY

Patricia Jouannot-Chesney, Jean-Paul Jernot, Christian Lantuéjoul

Abstract


A number of bidimensional random structures with increasing densities are simulated to explore possible links between Euler-Poincaré characteristic (EPC), or connectivity, and percolation threshold. For each structure model, the percolation threshold is compared with a number of typical points (extrema, zero crossings...) of the EPC curve. From these exercises, it can be concluded that the percolation threshold cannot be generally predicted using the evolution of the EPC.


Keywords
Euler-Poincaré characteristic; percolation threshold; topology

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DOI: 10.5566/ias.1573

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Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)