منابع مشابه
The mixing time for simple exclusion
We obtain a tight bound of O(L log k) for the mixing time of the exclusion process in Z/LZ with k ≤ 1 2 L particles. Previously the best bound, based on the log Sobolev constant determined by Yau, was not tight for small k. When dependence on the dimension d is considered, our bounds are an improvement for all k. We also get bounds for the relaxation time that are lower-order in d than previous...
متن کاملScaling Limit for the Space-Time Covariance of the Stationary Totally Asymmetric Simple Exclusion Process
The totally asymmetric simple exclusion process (TASEP) on the one-dimensional lattice with the Bernoulli ρ measure as initial conditions, 0 < ρ < 1, is stationary in space and time. Let Nt(j) be the number of particles which have crossed the bond from j to j + 1 during the time span [0, t]. For j = (1− 2ρ)t+2w(ρ(1− ρ))1/3t2/3 we prove that the fluctuations of Nt(j) for large t are of order t 1...
متن کاملThe Inclusion-Exclusion Principle for IF-States
Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...
متن کاملGaussian estimates for symmetric simple exclusion processes
2014 We prove Gaussian tail estimates for the transition probability of n particles evolving as symmetric exclusion processes on Zd, improving results obtained in [9]. We derive from this result a non-equilibrium Boltzmann-Gibbs principle for the symmetric simple exclusion process in dimension 1 starting from a product measure with slowly varying parameter. RÉSUMÉ. 2014 We prove Gaussian tail e...
متن کاملFormulas for joint probabilities for the asymmetric simple exclusion process
In earlier work, the authors Tracy, C. A. and Widom, H., “Integral formulas for the asymmetric simple exclusion process,” Commun. Math. Phys. 279, 815 2008 obtained integral formulas for probabilities for a single particle in the asymmetric simple exclusion process. Here, formulas are obtained for joint probabilities for several particles. In the case of a single particle, the derivation here i...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2006
ISSN: 1050-5164
DOI: 10.1214/105051605000000728