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Random Evolution and Geometric Probabilities,d the application of geometric probabilities. In the preceding sections (1.5, 2.3) most of the models used in the phenomenology of discrete media were based on homogeneous Markov processes in which the transition probabilities were time independent and displayed the semi-group properties. In many apDappled 发表于 2025-3-22 07:09:48
Applications of the Stochastic Analysis,.14) of the theory and the axiomatic definitions of section 2.1 in Chapt. 2. The stochastic mechanics approach recognizes the involved field quantities as random variables or functions of such variables. It has been shown that the theory of Markov processes can be used to construct simple models fornegligence 发表于 2025-3-22 11:10:14
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oach in the analysis of material behaviour. This book discusses the modern use of mathematical analysis to the stochastic mechanics of discrete media. The theoretical study is therefore based on set and measure theory and the application of point processes..978-3-642-51487-6978-3-642-51485-2pus840 发表于 2025-3-22 20:50:03
Random Evolution and Geometric Probabilities,ular, if interaction effects between structural elements are to be included. Evidently, this necessitates the use of a wider class of Markov processes usually involving “jump processes”, partially observed jump processes and also “semi-Markov processes”.游行 发表于 2025-3-22 22:30:16
978-3-642-51487-6Springer-Verlag Berlin Heidelberg 1993宴会 发表于 2025-3-23 05:00:16
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https://doi.org/10.1007/978-3-642-51485-2Discrete Media; Mikromechanik; deformation; dynamics; material; mechanics; micromechanics; model; network; po