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math.PR2025
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…
math.PR2024
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…
math.PR2024
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…