45 citations · 252 across the 20 of their papers we have counts for
23 papers
Linear time mixing and pre-cutoff for oriented kinetically constrained models
Paul Chleboun
We establish linear time precutoff for oriented kinetically constrained models (KCMs) on a -dimensional box of side length , whenever the finite-volume spectral gap is bounde…
Condensation in stochastic lattice gases with size-dependent stationary weights
Joshua Blank, Paul Chleboun, Stefan Grosskinsky +1
We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of part…
Mixing Times for the Facilitated Exclusion Process
James Ayre, Paul Chleboun
The facilitated simple exclusion process (FEP) is a one-dimensional exclusion process with a dynamical constraint. We establish bounds on the mixing time of the FEP on the segment,…
Size-biased diffusion limits and the inclusion process
Paul Chleboun, Simon Gabriel, Stefan Grosskinsky
We consider the inclusion process on the complete graph with vanishing diffusivity, which leads to condensation of particles in the thermodynamic limit. Describing particle configu…
Poisson-Dirichlet asymptotics in condensing particle systems
Paul Chleboun, Simon Gabriel, Stefan Grosskinsky
We study measures on random partitions, arising from condensing stochastic particle systems with stationary product distributions. We provide fairly general conditions on the stati…
Cutoff for the Square Plaquette Model on a Critical Length Scale
Paul Chleboun, Aaron Smith
Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we study the dyna…
Structure of the condensed phase in the inclusion process
Watthanan Jatuviriyapornchai, Paul Chleboun, Stefan Grosskinsky
We establish a complete picture of condensation in the inclusion process in the thermodynamic limit with vanishing diffusion, covering all scaling regimes of the diffusion paramete…
Mixing of the Square Plaquette Model on a Critical Length Scale
Paul Chleboun, Aaron Smith
Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we study the dyna…
Current large deviations for partially asymmetric particle systems on a ring
Paul Chleboun, Stefan Grosskinsky, Andrea Pizzoferrato
We study large deviations for the current of one-dimensional stochastic particle systems with periodic boundary conditions. Following a recent approach based on an earlier result b…
Lower current large deviations for zero-range processes on a ring
Paul Chleboun, Stefan Grosskinsky, Andrea Pizzoferrato
We study lower large deviations for the current of totally asymmetric zero-range processes on a ring with concave current-density relation. We use an approach by Jensen and Varadha…
Monotonicity and Condensation in Homogeneous Stochastic Particle Systems
Thomas Rafferty, Paul Chleboun, Stefan Grosskinsky
We study stochastic particle systems that conserve the particle density and exhibit a condensation transition due to particle interactions. We restrict our analysis to spatially ho…
Mixing time and local exponential ergodicity of the East-like process in
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
The East process, a well known reversible linear chain of spins, represents the prototype of a general class of interacting particle systems with constraints modeling the dynamics…
A dynamical transition and metastability in a size-dependent zero-range process
Paul Chleboun, Stefan Grosskinsky
We study a zero-range process with system-size dependent jump rates, which is known to exhibit a discontinuous condensation transition. Metastable homogeneous phases and condensed…
The influence of dimension on the relaxation process of East-like models
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These faci…
Relaxation to equilibrium of generalized East processes on : Renormalization group analysis and energy-entropy competition
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider a class of kinetically constrained interacting particle systems on which play a key role in several heuristic qualitative and quantitative approaches t…
Dynamics of condensation in the totally asymmetric inclusion process
Jiarui Cao, Paul Chleboun, Stefan Grosskinsky
We study the dynamics of condensation of the inclusion process on a one-dimensional periodic lattice in the thermodynamic limit, generalising recent results on finite lattices for…
Condensation in stochastic particle systems with stationary product measures
Paul Chleboun, Stefan Grosskinsky
We study stochastic particle systems with stationary product measures that exhibit a condensation transition due to particle interactions or spatial inhomogeneities. We review prev…
Mixing time bounds for oriented kinetically constrained spin models
Paul Chleboun, Fabio Martinelli
We analyze the mixing time of a class of oriented kinetically constrained spin models (KCMs) on a d-dimensional lattice of sites. A typical example is the North-East model, a…
Time scale separation in the low temperature East model: Rigorous results
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider the non-equilibrium dynamics of the East model, a linear chain of 0-1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbi…
Time scale separation and dynamic heterogeneity in the low temperature East model
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider the non-equilibrium dynamics of the East model, a linear chain of 0-1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbi…
Condensation in randomly perturbed zero-range processes
Luis Carlos Garcia del Molino, Paul Chleboun, Stefan Grosskinsky
The zero-range process is a stochastic interacting particle system that exhibits a condensation transition under certain conditions on the dynamics. It has recently been found that…
Finite size effects and metastability in zero-range condensation
Paul Chleboun, Stefan Grosskinsky
We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single latt…
Instability of condensation in the zero-range process with random interaction
Stefan Grosskinsky, Paul Chleboun, Gunter M. Schütz
The zero-range process is a stochastic interacting particle system that is known to exhibit a condensation transition. We present a detailed analysis of this transition in the pres…