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math.PR2019
Martin boundary of killed random walks on isoradial graphs
Cédric Boutillier, Kilian Raschel
We consider killed planar random walks on isoradial graphs. Contrary to the lattice case, isoradial graphs are not translation invariant, do not admit any group structure and are s…
math.CO2019
Isoradial immersions
Cédric Boutillier, David Cimasoni, Béatrice de Tilière
Isoradial embeddings of planar graphs play a crucial role in the study of several models of statistical mechanics, such as the Ising and dimer models. Kenyon and Schlenker give a c…