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12 papers · 1 filter
Duality for some models of epidemic spreading
Chiara Franceschini, Ellen Saada, Gunter M. Schütz +1
We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spr…
Switching interacting particle systems: scaling limits, uphill diffusion and boundary layer
Simone Floreani, Cristian Giardinà, Frank den Hollander +2
In this paper we consider three classes of interacting particle systems on : independent random walks, the exclusion process, and the inclusion process. We allow particl…
Free boundary problems in PDEs and particle systems
Gioia Carinci, Anna De Masi, Cristian Giardinà +1
In this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDEs. When the system is open, there…
An Anscombe-type theorem
Patrizia Berti, Irene Crimaldi, Luca Pratelli +1
Let (X_n) be a sequence of random variables (with values in a separable metric space) and (N_n) a sequence of random indices. Conditions for X_{N_n} to converge stably (in particul…
Finitely additive equivalent martingale measures
Patrizia Berti, Luca Pratelli, Pietro Rigo
Let be a linear space of real bounded random variables on the probability space . There is a finitely additive probability on , such that…
Ising models on power-law random graphs
Sander Dommers, Cristian Giardinà, Remco van der Hofstad
We study a ferromagnetic Ising model on random graphs with a power-law degree distribution and compute the thermodynamic limit of the pressure when the mean degree is finite (degre…