1 citations · 1 across the 1 of their papers we have counts for
6 papers
Higher order fluctuation fields and orthogonal duality polynomials
Mario Ayala, Gioia Carinci, Frank Redig
Inspired by the works in [1] and [8] we introduce what we call -th-order fluctuation fields and study their scaling limits. This construction is done in the context of particle…
Consistent particle systems and duality
Gioia Carinci, Cristian Giardinà, Frank Redig
We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KMP model. Consistent…
Stationary states in infinite volume with non zero current
Gioia Carinci, Cristian Giardinà, Errico Presutti
We study the Ginzburg-Landau stochastic models in infinite domains with some special geometry and prove that without the help of external forces there are stationary measures with…
Condensation of SIP particles and sticky Brownian motion
Mario Ayala, Gioia Carinci, Frank Redig
We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit scaling for the variance of the density field in this regime, when initially starte…
Orthogonal Dualities of Markov Processes and Unitary Symmetries
Gioia Carinci, Chiara Franceschini, Cristian Giardinà +2
We study self-duality for interacting particle systems, where the particles move as continuous time random walkers having either exclusion interaction or inclusion interaction. We…
Exact formulas for two interacting particles and applications in particle systems with duality
Gioia Carinci, Cristian Giardina, Frank Redig
We consider two particles performing continuous-time nearest neighbor random walk on and interacting with each other when they are at neighboring positions. Typical exa…