Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Giardina', Cristian"'
We study a class of stochastic models of mass transport on discrete vertex set $V$. For these models, a one-parameter family of homogeneous product measures $\otimes_{i\in V} \nu_\theta$ is reversible. We prove that the set of mixtures of inhomogeneo
Externí odkaz:
http://arxiv.org/abs/2406.01160
We study the stirring process with $N-1$ species on a generic graph $G=(V,\mathcal{E})$ with reservoirs. The multispecies stirring process generalizes the symmetric exclusion process, which is recovered in the case $N=2$. We prove the existence of a
Externí odkaz:
http://arxiv.org/abs/2312.15532
We consider the boundary driven harmonic model, i.e. the Markov process associated to the open integrable XXX chain with non-compact spins. Using the factorial moments we characterize the stationary measure as a mixture of product measures. For all s
Externí odkaz:
http://arxiv.org/abs/2307.14975
We study the density fluctuations at equilibrium of the multi-species stirring process, a natural multi-type generalization of the symmetric (partial) exclusion process. In the diffusive scaling limit, the resulting process is a system of infinite-di
Externí odkaz:
http://arxiv.org/abs/2307.05111
Autor:
Carinci, Gioia, Franceschini, Chiara, Gabrielli, Davide, Giardinà, Cristian, Tsagkarogiannis, Dimitrios
We consider the one dimensional boundary driven harmonic model and its continuous version, both introduced in \cite{FGK}. By combining duality and integrability the authors of \cite{FG} obtained the invariant measures in a combinatorial representatio
Externí odkaz:
http://arxiv.org/abs/2307.02793
We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the well-known Kipnis-Marchioro-Presutti (KMP) model, the finite chain is cou
Externí odkaz:
http://arxiv.org/abs/2210.13627
We study reaction-diffusion processes with multi-species of particles and hard-core interaction. We add boundary driving to the system by means of external reservoirs which inject and remove particles, thus creating stationary currents. We consider t
Externí odkaz:
http://arxiv.org/abs/2210.01514
Inspired by the recent work of Bertini and Posta, who introduced the boundary driven Brownian gas on $[0,1]$, we study boundary driven systems of independent particles in a general setting, including particles jumping on finite graphs and diffusion p
Externí odkaz:
http://arxiv.org/abs/2112.12698
We consider spin models on complex networks frequently used to model social and technological systems. We study the annealed ferromagnetic Ising model for random networks with either independent edges (Erd\H{o}s-R\'enyi), or with prescribed degree di
Externí odkaz:
http://arxiv.org/abs/2112.03068
In this paper we consider three classes of interacting particle systems on $\mathbb Z$: independent random walks, the exclusion process, and the inclusion process. We allow particles to switch their jump rate (the rate identifies the type of particle
Externí odkaz:
http://arxiv.org/abs/2107.06783