Titlebook: Random Discrete Structures; David Aldous,Robin Pemantle Conference proceedings 1996 Springer-Verlag New York, Inc. 1996 Markov chain.Proba

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Random Minimax Game Trees,ependent identically distributed random variables with the edges. The value of a leaf is the sum of the edge values on the path to the root. The value of each internal node is obtained at alternating levels by taking the minimum or maximum value of the values of the children. We are interested in th

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Visual-Acuity

Intersections and Limits of Regenerative Sets,following independent exponentially distributed waiting times, but only at those times belonging to . Early uses of the term ‘regenerative set’ appear in [Meyer 1970] and [Maisonneuve and Morando 1970] — and, earlier, Tackás [1956] used ‘regeneration point’ for a member of a certain type of regenera

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Random Processes of the Form ,, = ,,,, + ,,(mod ,)where ,, takes on a Single Value, l/2 each. For values of . satisfying certain constraints imposed by . . and . ., . . gets close to uniformly distributed on Z/.Z for large enough . This paper explores how large . needs to be as a function of .. Adapting techniques used by Chung, Diaconis, and Graham and techniques previously devel

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How Fast and where does a Random Walker Move on a Random Tree?,er simple random walk on the family tree . of a supercritical Galton-Watson branching process. First we calculate the speed (i.e., rate of escape) of the walk; the answer is simple, yet surprising. Then we show that the resulting harmonic measure has a.s. strictly smaller dimension than that of the

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Energy, and Intersections of Markov Chains,tion techniques to construct certain measures of finite energy. The present paper aims to make these techniques more accessible, by treating an analogous but simpler problem. Upper bounds will be obtained on intersection probabilities for discrete time Markov chains. This will be applied to obtain a

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