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Preprints, Working Papers, ... Year : 2017

Does Eulerian percolation on $Z^2$ percolate ?

Olivier Garet
Regine Marchand
Irène Marcovici


Eulerian percolation on Z 2 with parameter p is the classical Bernoulli bond percolation with parameter p conditioned on the fact that every site has an even degree. We first explain why Eulerian percolation with parameter p coincides with the contours of the Ising model for a well-chosen parameter β(p). Then we study the percolation properties of Eulerian percolation.
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Dates and versions

hal-01342910 , version 1 (07-07-2016)
hal-01342910 , version 2 (18-10-2016)
hal-01342910 , version 3 (15-02-2017)
hal-01342910 , version 4 (08-09-2021)



Olivier Garet, Regine Marchand, Irène Marcovici. Does Eulerian percolation on $Z^2$ percolate ?. 2017. ⟨hal-01342910v4⟩


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