In this thesis we study a class of interacting particle systems sharing a duality property. This class includes the Symmetric Inclusion Process (SIP(2k)), the Symmetric Exclusion Process (SEP(2j)) and the Independent Random Walkers (IRW). When these systems are in equilibrium (namely they are isolated from the exterior) they admit stationary measures that are also reversible product space-homogeneous measures. However when the systems are in contact with reservoirs that keep them out of equilibrium, the reversibility is lost and the stationary microscopic distributions are unknown with the exception for the SEP(1) (the Symmetric Exclusion Process) and the IRW. In order to examine the non-equilibrium stationary distributions for the whole cl...
We study three classes of continuous time Markov processes (inclusion process, exclusion process, i...
We study the ergodic behavior of systems of particles performing independent random walks, binary sp...
In the context of Markov processes, both in discrete and continuous setting, we show a general relat...
We consider consistent particle systems, which include independent random walkers, the symmetric exc...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
We consider two particles performing continuous-time nearest neighbor random walk on Z and interacti...
In this thesis, we study scaling and detailed properties of a class of conservative interacting part...
We study stochastic models of non-equilibrium which are exactly solvable with the technique of duali...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
This thesis is concerned with fluctuations of interacting particle systems thatenjoy the property of...
We consider two particles performing continuous-time nearest neighbor random walk on Z and interacti...
We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process by coupl...
We study three classes of continuous time Markov processes (inclusion process, exclusion process, in...
We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit sca...
This research proposal is about stochastic processes in interacting particle systems. In a time span...
We study three classes of continuous time Markov processes (inclusion process, exclusion process, i...
We study the ergodic behavior of systems of particles performing independent random walks, binary sp...
In the context of Markov processes, both in discrete and continuous setting, we show a general relat...
We consider consistent particle systems, which include independent random walkers, the symmetric exc...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
We consider two particles performing continuous-time nearest neighbor random walk on Z and interacti...
In this thesis, we study scaling and detailed properties of a class of conservative interacting part...
We study stochastic models of non-equilibrium which are exactly solvable with the technique of duali...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
This thesis is concerned with fluctuations of interacting particle systems thatenjoy the property of...
We consider two particles performing continuous-time nearest neighbor random walk on Z and interacti...
We study close to equilibrium properties of the one-dimensional Symmetric Inclusion Process by coupl...
We study three classes of continuous time Markov processes (inclusion process, exclusion process, in...
We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit sca...
This research proposal is about stochastic processes in interacting particle systems. In a time span...
We study three classes of continuous time Markov processes (inclusion process, exclusion process, i...
We study the ergodic behavior of systems of particles performing independent random walks, binary sp...
In the context of Markov processes, both in discrete and continuous setting, we show a general relat...