Central limit theorems for infinite series of queues and applications to simple exclusion

From MaRDI portal
Publication:1081222

DOI10.1214/aop/1176992523zbMath0601.60098OpenAlexW1988327105MaRDI QIDQ1081222

Claude Kipnis

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1214/aop/1176992523




Related Items

An equivalence of \(H_{-1}\) norms for the simple exclusion processAn extension of a result of AndjelCentral limit theorems for additive functionals of the simple exclusion process.Totally asymmetric attractive particle systems on \(\mathbb{Z}\): Hydrodynamic limit for general initial profilesShock fluctuations in the asymmetric simple exclusion processA driven tagged particle in asymmetric exclusion processesEvolution of tagged particles in non-reversible particle systemsUnnamed ItemOne-dimensional Brownian particle systems with rank-dependent driftsThe 1996 Wald memorial lectures. Stochastic models of interacting systemsInteracting particle systems at the edge of multilevel Dyson Brownian motionsAsymmetric conservative processes with random ratesLimit theorems for the position of a tagged particle in the stirring-exclusion processA scaling limit for queues in seriesTwo-Sided Infinite Systems of Competing Brownian ParticlesTagged particle in single-file diffusionAsymptotic behavior of a tagged particle in the exclusion process on parallel latticesGumbel laws in the symmetric exclusion processMapping hydrodynamics for the facilitated exclusion and zero-range processesDynamics of finite inhomogeneous particle systems with exclusion interactionModerate deviations for the current and tagged particle in symmetric simple exclusion processesInfinite systems of competing Brownian particlesTransition probabilities of the Bethe ansatz solvable interacting particle systemsMathematical theory of queueing networksLimit theorems for the tagged particle in exclusion processes on regular treesDynamics of a tagged particle in the asymmetric exclusion process with the step initial conditionDynamics of non-Markovian exclusion processesShock fluctuations in asymmetric simple exclusionA central limit theorem for reversible exclusion and zero-range particle systemsSpectral gap for zero-range dynamicsTASEP hydrodynamics using microscopic characteristicsCentral limit theorem for a tagged particle in asymmetric simple exclusionScaling limits of a tagged particle in the exclusion process with variable diffusion coefficientEquilibrium fluctuations for the totally asymmetric zero-range processMixing times of the biased card shuffling and the asymmetric exclusion processExact results for the 1D asymmetric exclusion process and KPZ fluctuationsOn the asymmetric zero-range in the rarefaction fanOn the equilibrium state of the one-dimensional near-symmetric simple exclusion processThe invariant measures and the limiting behaviors of the facilitated TASEPUnnamed ItemUnnamed ItemSelf-diffusion in simple models: Systems with long-range jumpsThe TAZRP speed processNon-equilibrium stationary properties of the boundary driven zero-range process with long jumpsThe speed of the tagged particle in the exclusion process on Galton-Watson treesExact diffusion constant of a one-dimensional asymmetric exclusion model with open boundaries.Exact limiting shape for a simplified model of first-passage percolation on the plane