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math-ph2022
Macroscopic loops in the double-dimer model
Alexandra Quitmann, Lorenzo Taggi
The double dimer model is defined as the superposition of two independent uniformly distributed dimer covers of a graph. Its configurations can be viewed as disjoint collections of…
math-ph2014
Absorbing-state phase transition in biased activated random walk
Lorenzo Taggi
We consider the activated random walk (ARW) model on , which undergoes a transition from an absorbing regime to a regime of sustained activity. In any dimension we pr…
math-ph2013★ 17 cited
Critical probabilities and convergence time of Percolation Probabilistic Cellular Automata
Lorenzo Taggi
This paper considers a class of probabilistic cellular automata undergoing a phase transition with an absorbing state. Denoting by the neighbourhood of site ,…