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math.PR2026★ 1 cited
The number of particles in activated random walk on the complete graph
Antal A. Járai, Christian Mönch, Lorenzo Taggi
We consider an elementary model for self-organised criticality, the activated random walk on the complete graph. We introduce a discrete time Markov chain as follows. At each time…
math.PR2025
Mermin-Wagner theorem for dimers, monomer double-dimers, and spatial random permutations
Lorenzo Taggi, Wei Wu
We study a generalisation of the double-dimer model that encompasses several models of interest, including the monomer double-dimer model, spatial random permutations, the dimer mo…
math.PR2024
Coexistence, enhancements and short loops in random walk loop soups
Nicolas Forien, Matteo Quattropani, Alexandra Quitmann +1
We consider a general random walk loop soup which includes, or is related to, several models of interest, such as the Spin O(N) model, the double dimer model and the Bose gas. The…