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In this paper we develop Foster-type criteria guaranteeing tightness for Markov chains which are not necessarily irreducible. The results include criteria for both tightness of the marginal distributi...
Tightness criteria for random measures with application to the principle of conditioning in Hilbert spaces
Recently, a Heavy Traffic Invariance Principle was proposed by Szczotka and Woyczyliski to characterize the heavy traffic limiting distribution of normalized stationary waiting times of G/G/l queue...
Let $X, X_1, X_2, dots $ be a sequence of nondegenerate, independent and identically distributed random variables and set $S_n=X_1+dots +X_n, V_n^2=X_1^2+dots +X_n^2.$ We answer a question of G"otze, ...
Consider a long-range, one-dimensional voter model started with all zeroes on the negative integers and all ones on the positive integers. If the process obtained by identifying states that are transl...

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