L. Taggi

activity

20132026

most citedCritical probabilities and convergence time of Percolation Probabilistic Cellular Automata

17 citations · 52 across the 16 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.PR2019

Uniformly positive correlations in the dimer model and phase transition in lattice permutations on $Z^{d}$ , $d > 2$ , via reflection positivity

Lorenzo Taggi

Our first main result is that correlations between monomers in the dimer model in $Z^{d}$ do not decay to zero when $d > 2$ . This is the first rigorous result about correlat…

math.PR2019★ 11 cited

Site monotonicity and uniform positivity for interacting random walks and the spin O(N) model with arbitrary N

Benjamin Lees, Lorenzo Taggi

We provide a uniformly-positive point-wise lower bound for the two-point function of the classical spin $O (N)$ model on the torus of $Z^{d}$ , $d \geq 3$ , when $N \in \mathbb…

math.PR2019

Abelian oil and water dynamics does not have an absorbing-state phase transition

Elisabetta Candellero, Alexandre Stauffer, Lorenzo Taggi

The oil and water model is an interacting particle system with two types of particles and a dynamics that conserves the number of particles, which belongs to the so-called class of…

Uniformly positive correlations in the dimer model and phase transition in lattice permutations on Zd, d>2, via reflection positivity

Site monotonicity and uniform positivity for interacting random walks and the spin O(N) model with arbitrary N

Abelian oil and water dynamics does not have an absorbing-state phase transition

Uniformly positive correlations in the dimer model and phase transition in lattice permutations on $Z^{d}$ , $d > 2$ , via reflection positivity