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Titlebook: Cycle Representations of Markov Processes; Sophia L. Kalpazidou Book 19951st edition Springer Science+Business Media New York 1995 Markov

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发表于 2025-3-21 19:23:47 | 显示全部楼层 |阅读模式
书目名称Cycle Representations of Markov Processes
编辑Sophia L. Kalpazidou
视频video
丛书名称Stochastic Modelling and Applied Probability
图书封面Titlebook: Cycle Representations of Markov Processes;  Sophia L. Kalpazidou Book 19951st edition Springer Science+Business Media New York 1995 Markov
描述This book provides new insight into Markovian dependence via the cycle decompositions. It presents a systematic account of a class of stochastic processes known as cycle (or circuit) processes - so-called because they may be defined by directed cycles. An important application of this approach is the insight it provides to electrical networks and the duality principle of networks. This expanded second edition adds new advances, which reveal wide-ranging interpretations of cycle representations such as homologic decompositions, orthogonality equations, Fourier series, semigroup equations, and disintegration of measures. The text includes chapter summaries as well as a number of detailed illustrations.
出版日期Book 19951st edition
关键词Markov chain; Markov process; Markov processes; Moment; Parameter; stochastic processes; combinatorics
版次1
doihttps://doi.org/10.1007/978-1-4757-3929-9
isbn_ebook978-1-4757-3929-9Series ISSN 0172-4568 Series E-ISSN 2197-439X
issn_series 0172-4568
copyrightSpringer Science+Business Media New York 1995
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发表于 2025-3-21 22:25:13 | 显示全部楼层
The Rotational Theory of Markov Processesuations and new revelations in the interaction between the stochastic processes theory and algebraic topology are so useful that there is an unavoidable methodological horizon leading to edge-problems and cycle-problems.
发表于 2025-3-22 04:03:59 | 显示全部楼层
Book 19951st editionranging interpretations of cycle representations such as homologic decompositions, orthogonality equations, Fourier series, semigroup equations, and disintegration of measures. The text includes chapter summaries as well as a number of detailed illustrations.
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Advances in Environment, Behavior and Designter case. One significant aspect, manifesting itself more evidently in the continuous parameter case, is the conversion of the dichotomy circuitweight into qualitative—quantitative stochastic properties. The approach of this chapter is due to S. Kalpazidou (1991c).
发表于 2025-3-22 18:23:38 | 显示全部楼层
Continuous Parameter Circuit Processes with Finite State Spaceter case. One significant aspect, manifesting itself more evidently in the continuous parameter case, is the conversion of the dichotomy circuitweight into qualitative—quantitative stochastic properties. The approach of this chapter is due to S. Kalpazidou (1991c).
发表于 2025-3-22 21:46:52 | 显示全部楼层
Sally A. Shumaker,Willo Pequegnathts when they decompose the finite-dimensional distributions. For this reason we shall be consequently interested in the spectral representation of the circuit-weights alone. This approach is due to S. Kalpazidou (1992a, b).
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