17 citations · 52 across the 16 of their papers we have counts for
22 papers
Dimer model and random lattice permutations with general weights
Andreas Klippel, Lorenzo Taggi, Wei Wu
The dimer model and random lattice permutations are two fundamental objects at the interface of probability, combinatorics, and mathematical physics. We study these models on finit…
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…
Prudent walk in dimension six and higher
Markus Heydenreich, Lorenzo Taggi, Niccolo Torri
We study the high-dimensional uniform prudent self-avoiding walk, which assigns equal probability to all nearest-neighbor self-avoiding paths of a fixed length that respect the pru…
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…
Macroscopic loops in the Bose gas, Spin O(N) and related models
Alexandra Quitmann, Lorenzo Taggi
We consider a general system of interacting random loops which includes several models of interest, such as the Spin O(N) model, random lattice permutations, a version of the inter…
Exponential decay of transverse correlations for O(N) spin systems and related models
Benjamin Lees, Lorenzo Taggi
We prove exponential decay of transverse correlations in the Spin O(N) model for arbitrary (non-zero) values of the external magnetic field and arbitrary spin dimension N > 1. Our…
Essential enhancements in Abelian networks: continuity and uniform strict monotonicity
Lorenzo Taggi
We prove that in wide generality the critical curve of the activated random walk model is a continuous function of the deactivation rate, and we provide a bound on its slope which…
Site-monotonicity properties for reflection positive measures with applications to quantum spin systems
Benjamin Lees, Lorenzo Taggi
We consider a general statistical mechanics model on a product of local spaces and prove that, if the corresponding measure is reflection positive, then several site-monotonicity p…
Uniformly positive correlations in the dimer model and phase transition in lattice permutations on , , via reflection positivity
Lorenzo Taggi
Our first main result is that correlations between monomers in the dimer model in do not decay to zero when . This is the first rigorous result about correlat…
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 model on the torus of , , when $N \in \mathbb…
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…
Shifted critical threshold in the loop model at arbitrary small
Lorenzo Taggi
In the loop model a collection of mutually-disjoint self-avoiding loops is drawn at random on a finite domain of a lattice with probability proportional to $${λ^{\# \mbox{ed…
Interacting self-avoiding polygons
Volker Betz, Helge Schäfer, Lorenzo Taggi
We consider a system of self-avoiding polygons interacting through a potential that penalizes or rewards the number of mutual touchings and we provide an exact computation of the c…
Active phase for activated random walks on , , with density less than one and arbitrary sleeping rate
Lorenzo Taggi
It has been conjectured that the critical density of the Activated Random Walk model is strictly less than one for any value of the sleeping rate. We prove this conjecture on $\mat…
Scaling limit of a self-avoiding walk interacting with spatial random permutations
Volker Betz, Lorenzo Taggi
We consider nearest neighbour spatial random permutations on . In this case, the energy of the system is proportional the sum of all cycle lengths, and the system can…
Critical density of activated random walks on transitive graphs
Alexandre Stauffer, Lorenzo Taggi
We consider the activated random walk model on general vertex-transitive graphs. A central question in this model is whether the critical density for sustained activity is st…
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…
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 ,…
Dynamical correlations in the escape strategy of Influenza A virus
Lorenzo Taggi, Francesca Colaiori, Vittorio Loreto +1
The evolutionary dynamics of human Influenza A virus presents a challenging theoretical problem. An extremely high mutation rate allows the virus to escape, at each epidemic season…
Size and structure of an epistatic space
Lorenzo Taggi, Francesca Colaiori, Vittorio Loreto +1
We provide quantitative estimates on the size and the structure of the epistatic space defined in the main article, "Dynamical Correlations in the escape strategy of Influenza A vi…