The motion of the tagged particle in the asymmetric exclusion process with long jumps

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)

Cites Work

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Occupation times of long-range exclusion and connections to KPZ class exponents
Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
Density fluctuations for exclusion processes with long jumps
Quenched non-equilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder
The motion of a tagged particle in the simple symmetric exclusion system on Z
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
Central limit theorems for infinite series of queues and applications to simple exclusion
Interaction of Markov processes
Evolution of tagged particles in non-reversible particle systems
Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
Hydrodynamic limits for long-range asymmetric interacting particle systems
A limit theorem for the position of a tagged particle in a simple exclusion process
Central limit theorems for additive functionals of the simple exclusion process.
Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion
Diffusive limit of a tagged particle in asymmetric simple exclusion processes
On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
Fluctuations in Markov Processes
Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
Recurrence and transience of symmetric random walks with long-range jumps