17 citations · 52 across the 16 of their papers we have counts for
3 papers · 1 filter
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…
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…
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…