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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…
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…