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Percolation Transition and Topology

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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01547348
Contributor : Christian Lantuéjoul <>
Submitted on : Wednesday, June 9, 2021 - 12:08:11 PM
Last modification on : Thursday, June 17, 2021 - 2:44:51 PM

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Patricia Jouannot-Chesney, Jean-Paul Jernot, Christian Lantuéjoul. Percolation Transition and Topology. Image Analysis and Stereology, International Society for Stereology, 2017, 38, pp.97-105. ⟨10.5566/ias.1573⟩. ⟨hal-01547348⟩

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