Fluctuations in the occupation time of a site in the asymmetric simple exclusion process.

DOI10.1214/aop/1079021466zbMath1071.60096OpenAlexW2168066015MaRDI QIDQ1879871

Cédric Bernardin

Publication date: 15 September 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1079021466

zbMATH Keywords

additive functionalssuper-diffusive behavior

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Local time and additive functionals (60J55)

Related Items (13)

\(t^{1/3}\) superdiffusivity of finite-range asymmetric exclusion processes on \({\mathbb{Z}}\) ⋮ Occupation times of long-range exclusion and connections to KPZ class exponents ⋮ Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions ⋮ Superdiffusivity of occupation-time variance in 2-dimensional asymmetric exclusion processes with density \(\rho = 1/2\) ⋮ On superdiffusive behavior of a passive tracer in a Poisson shot noise field ⋮ Scaling Limits of Additive Functionals of Interacting Particle Systems ⋮ On microscopic derivation of a fractional stochastic Burgers equation ⋮ On superdiffusive behavior of a passive tracer in a random flow ⋮ Upper bound on the occupation time in the simple exclusion process ⋮ Unnamed Item ⋮ Superdiffusivity of asymmetric energy model in dimensions 1 and 2 ⋮ Fluctuations for Kawasaki dynamics ⋮ Diffusion of Energy in Chains of Oscillators with Conservative Noise

Cites Work

• Unnamed Item
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique. (Fluctuations in the occupation time of a site in simple symmetric exclusion)
• Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
• Fluctuation-dissipation equation of asymmetric simple exclusion processes
• Superdiffusivity of asymmetric exclusion process in dimensions one and two
• Limiting distributions for a polynuclear growth model with external sources
• An equivalence of \(H_{-1}\) norms for the simple exclusion process
• Transience of second-class particles and diffusive bounds for additive functionals in one-dimensional asymmetric exclusion processes
• Central limit theorems for additive functionals of the simple exclusion process.
• Current fluctuations for the totally asymmetric simple exclusion process

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