Geodesic
The scaling limits of near-critical and dynamical percolation
Journal of the European Mathematical Society, Tome 20 (2018) no. 5, pp. 1195-1268

Voir la notice de l'article provenant de la source EMS Press

We prove that near-critical percolation and dynamical percolation on the triangular lattice ηT have a scaling limit as the mesh η tends to 0, in the “quad-crossing” space H of percolation configurations introduced by Schramm and Smirnov. The proof essentially proceeds by “perturbing” the scaling limit of the critical model, using the pivotal measures studied in our earlier paper. Markovianity and conformal covariance of these new limiting objects are also established.
DOI : 10.4171/jems/786
Classification : 60-XX, 81-XX, 82-XX
Keywords: Statistical mechanics, percolation, dynamical percolation, critical and near-critical percolation, conformal invariance, scaling limit 
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     title = {The scaling limits of near-critical and dynamical percolation},
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Christophe Garban; Gábor Pete; Oded Schramm. The scaling limits of near-critical and dynamical percolation. Journal of the European Mathematical Society, Tome 20 (2018) no. 5, pp. 1195-1268. doi: 10.4171/jems/786

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