Titlebook: Understanding Markov Chains; Examples and Applica Nicolas Privault Textbook 2018Latest edition Springer Nature Singapore Pte Ltd. 2018 Appl

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Branching Processes,ier cascades, nuclear fission, earthquake triggering, queueing models, viral phenomena, social networks, neuroscience, etc. This chapter mainly deals with the computation of probabilities of extinction and explosion in finite time for branching processes.

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Continuous-Time Markov Chains, from discrete to continuous-time Markov chains, the main difference between the two settings being the replacement of the transition matrix with the continuous-time . of the process. We will start with the two fundamental examples of the Poisson and birth and death processes, followed by the constr

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Discrete-Time Martingales,rkov processes have been our main focus of attention so far, and in this chapter we turn to the notion of martingale. In particular we will give a precise mathematical meaning to the description of martingales stated in the introduction, which says that when . is a martingale, the best possible esti

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Textbook 2018Latest editionon the first step analysis technique and its applications to average hitting times and ruin probabilities. It also discusses classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes. It first examines in detail two important examples (

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H.-H. Kausch,P. Scaramuzzino,C. J. G. Plummerattributes (or fields) of records,leading to a vector of numerical similarity values for each compared record pair. These similarity values are used to decide whether the two records in a pair are a match (i.e. correspond to the same entity) or a non-match (i.e. correspond to two different entities)

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Erich Hauthey are correlated with objects, but because men employ them in their activities. Our task is to pursue the consequences of this change in the conception of language, and in this chapter we turn to the theory of judgement.

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Implementing branch-and-bound in a ring of processors,sages with its two ring neighbors..A branch-and-bound procedure is implemented in Pascal to run in parallel on the ring and solve the Travelling-Salesman-Problem. Heuristics are developed to maintain a priority queue in a distributed heap. The computing times and speedups for 25 random graphs obtain