REVIEW 3 cited by
A quantitative central limit theorem for the simple symmetric exclusion process
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a $d$-dimensional discrete torus is proven. The argument is based on a comparison of the generators of the density fluctuation field of the SSEP and the generalized Ornstein-Uhlenbeck process, as well as on an infinite-dimensional Berry-Essen bound for the initial particle fluctuations. The obtained rate of convergence is optimal.
Forward citations
Cited by 3 Pith papers
-
Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential
First quantitative convergence rate for mean-field fluctuation processes: 1/√N for regular drifts, with weaker rates for singular vortex and Coulomb kernels.
-
Poisson statistics, vanishing correlations, and extremal particle limits for symmetric exclusion in d > 1
For symmetric exclusion on Z^d, d>=2, with step and polynomial-shape initial conditions, particle counts beyond a suitable superdiffusive level are asymptotically Poisson, implying Gumbel limits for the rightmost part...
-
A consistency-stability approach to scaling limits of zero-range processes
A new consistency-stability method yields the first quantitative hydrodynamic limit rates for the genuinely nonlinear symmetric zero-range process in d=1 and d=2.
Discussion (0). Continue with ORCID to comment.