Distributional limits for the symmetric exclusion process
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Publication:1001837
DOI10.1016/j.spa.2008.01.010zbMath1172.60031arXiv0710.3606OpenAlexW1968678508MaRDI QIDQ1001837
Publication date: 19 February 2009
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.3606
negative associationexclusion processesnegative dependenceconvergence to the Poisson and Gaussian distributionsstability of polynomials
Related Items (7)
The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability ⋮ Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion ⋮ Gumbel laws in the symmetric exclusion process ⋮ Stochastic models for large interacting systems and related correlation inequalities ⋮ Stable polynomials and sums of dependent Bernoulli random variables: application to Hoeffding inequalities ⋮ Negative dependence and the geometry of polynomials ⋮ The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
Cites Work
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- 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
- Asymptotic normality of random fields of positively or negatively associated processes
- Flux fluctuations in the one dimensional nearest neighbors symmetric simple exclusion process
- Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion
- Polynomials with the half-plane property and matroid theory
- Towards a theory of negative dependence
- On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
- IInfinite Graphs with Nonconstant Dirichlet Finite Harmonic Functions
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