Symmetric exclusion process under stochastic resetting

Distributional Limits for the Symmetric Exclusion Process

Strong negative dependence properties have recently been proved for the symmetric exclusion process. In this paper, we apply these results to prove convergence to the Poisson and Gaussian distributions for various functionals of the process.

Perturbations of the Symmetric Exclusion Process

One of the fundamental issues concerning particle systems is classifying the invariant measures I and giving properties of those measures for different processes. For the exclusion process with symmetric kernel p(x, y) = p(y, x), I has been completely studied. This paper gives results concerning I for exclusion processes where p(x, y) = p(y, x) except for finitely many x, y ∈ S and p(x, y) corr...

Diffusion with stochastic resetting.

We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate r*. Resetting ...

Symmetric Simple Exclusion Process: Regularity of the Self Diffusion Coefficient

Symmetric Inclusion-Exclusion

One form of the inclusion-exclusion principle asserts that if A and B are functions of finite sets then the formulas A(S) = ∑ T⊆S B(T ) and B(S) = ∑ T⊆S(−1) |S|−|T A(T ) are equivalent. If we replace B(S) by (−1)B(S) then these formulas take on the symmetric form A(S) = ∑ T⊆S (−1) B(T ) B(S) = ∑ T⊆S (−1) A(T ). which we call symmetric inclusion-exclusion. We study instances of symmetric inclusi...