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Titlebook: Discrete Probability Models and Methods; Probability on Graph Pierre Brémaud Textbook 2017 Springer International Publishing Switzerland 20

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https://doi.org/10.1007/978-3-540-44715-3A particle on a denumerable set .. If at time ., the particle is in position ., it will be at time . in a position . chosen independently of the past trajectory . with probability ..
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https://doi.org/10.1007/978-3-540-44715-3In a homogeneous Markov chain, some states are visited infinitely often while others are never visited after a finite random time. These states are naturally called recurrent and transient respectively. Among the recurrent states some have the property that the mean time between successive visits to this state is finite.
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The Abdominal Wall in Infants and ChildrenMarkov fields are also called Gibbs fields in honour of the founder of Statistical Mechanics (Gibbs, 1902). Although they were historically of special interest to physicists, they have recently found applications in other areas, in particular in image processing.
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Surgery of the Arteries to the HeadEntropy is an example of a physical concept that has found a new life in the engineering and computing sciences. This chapter concentrates on the aspects involving tree structures, namely source coding and the generation of discrete random variables from random numbers.
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Surgery of the Cerebellopontine AngleConsider an . that is irreducible and positive recurrent. If its initial distribution is the stationary distribution, it keeps the same distribution at all times.
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