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math.PR2026
Asymptotics of Green functions for Markov-additive processes: an approach via dyadic splitting of integrals
Théo Ballu
We consider a discrete Markov-additive process, that is a Markov chain on a state space with invariant jumps along the component. In the case…
math.PR2025
The limit shape of the Leaky Abelian Sandpile Model on isoradial graphs
Théo Ballu
We study the limit shape of the boundary of the leaky sandpile model on isoradial graphs. These graphs are equipped with conductances and masses introduced by Boutillier, de Tiliè…
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…