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math.PR2022
Geometric properties of spin clusters in random triangulations coupled with an Ising Model
Marie Albenque, Laurent Ménard
We investigate the geometry of a typical spin cluster in random triangulations sampled with a probability proportional to the energy of an Ising configuration on their vertices, bo…
math.PR2022
Percolation probability and critical exponents for site percolation on the UIPT
Laurent Ménard
We derive three critical exponents for Bernoulli site percolation on the on the Uniform Infinite Planar Triangulation (UIPT). First we compute explicitly the probability that the r…