36 citations · 196 across the 19 of their papers we have counts for
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Limit shape of the leaky Abelian sandpile model with multiple layers
Théo Ballu, Cédric Boutillier, Sevak Mkrtchyan +1
In this paper we study a triple generalization of the Leaky Abelian Sandpile Model (LASM) of Alevy and Mkrtchyan, originally analyzed in the case of the square lattice in dimension…
Fock's dimer model on the Aztec diamond
Cédric Boutillier, Béatrice de Tilière
We consider the dimer model on the Aztec diamond with Fock's weights, which is gauge equivalent to the model with any choice of positive weight function. We prove an explicit, comp…
A determinantal point process approach to scaling and local limits of random Young tableaux
Jacopo Borga, Cédric Boutillier, Valentin Féray +1
We obtain scaling and local limit results for large random Young tableaux of fixed shape via the asymptotic analysis of a determinantal point process due to Gorin and Rahman…
Minimal bipartite dimers and higher genus Harnack curves
Cédric Boutillier, David Cimasoni, Béatrice de Tilière
This paper completes the comprehensive study of the dimer model on infinite minimal graphs with Fock's weights [arXiv:1503.00289] initiated in [arXiv:2007.14699]: the latter articl…
Elliptic dimers on minimal graphs and genus 1 Harnack curves
Cédric Boutillier, David Cimasoni, Béatrice de Tilière
This paper provides a comprehensive study of the dimer model on infinite minimal graphs with Fock's elliptic weights [arXiv:1503.00289]. Specific instances of such models were stud…
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…