57 citations · 255 across the 16 of their papers we have counts for
8 papers · 1 filter
Generalized Young measures and the hydrodynamic limit of condensing zero range processes
Michail Loulakis, Marios Georgios Stamatakis
Condensing zero range processes (ZRPs) are stochastic interacting particle systems that exhibit phase separation with the emergence of a condensate. Standard approaches for derivin…
The Deterministic and Stochastic Shallow Lake Problem
George T. Kossioris, Michail Loulakis, Panagiotis E. Souganidis
We study the welfare function of the deterministic and stochastic shallow lake problem. We show that the welfare function is the viscosity solution of the associated Bellman equati…
Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions
Claudio Landim, Michail Loulakis, Mustapha Mourragui
We consider continuous-time Markov chains which display a family of wells at the same depth. We provide sufficient conditions which entail the convergence of the finite-dimensional…
Metastability in a condensing zero-range process in the thermodynamic limit
Inés Armendáriz, Stefan Grosskinsky, Michail Loulakis
Zero-range processes with decreasing jump rates are known to exhibit condensation, where a finite fraction of all particles concentrates on a single lattice site when the total den…
Zero Range Condensation at Criticality
Inés Armendáriz, Stefan Grosskinsky, Michail Loulakis
Zero-range processes with decreasing jump rates exhibit a condensation transition, where a positive fraction of all particles condenses on a single lattice site when the total dens…
Conditional Distribution of Heavy Tailed Random Variables on Large Deviations of their Sum
Inés Armendáriz, Michail Loulakis
It is known that large deviations of sums of subexponential random variables are most likely realised by deviations of a single random variable. In this article we give a detailed…
Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes
Inés Armendáriz, Michail Loulakis
We prove a strong form of the equivalence of ensembles for the invariant measures of zero range processes conditioned to a supercritical density of particles. It is known that in t…
On the Symmetry of the Diffusion Coefficient in Asymmetric Simple Exclusion
Michail Loulakis
We prove the symmetry of the Diffusion Coefficient appearing in the fluctuation-dissipation theorem for the general asymmetric simple exclusion process.