Cycle representations of Markov processes
The cycle representations of Markov processes have been advanced after the publication of the ?rst edition to many directions. One main purpose of these advances was the revelation of wide-ranging interpretations of the - cle decompositions of Markov processes such as homologic decompositions, ortho...
में बचाया:
| मुख्य लेखक: | |
|---|---|
| स्वरूप: | Livre numérique |
| भाषा: | Anglais |
| प्रकाशित: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| संस्करण: | 2nd ed. |
| श्रृंखला: | Stochastic Modelling and Applied Probability
28 |
| विषय: | |
| ऑनलाइन पहुंच: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| टिप्पणी: |
Description d'après consultation du 16 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Cycle representations of Markov processes, Sophia L. Kalpazidou, 2nd ed., New York, Springer, 2006, 1 vol. (XX-301 p.), Stochastic modelling and applied probability, 0-387-29166-0 • Cycle Representations of Markov Processes, Texte imprimé, 9780387509884 • Cycle Representations of Markov Processes, Texte imprimé, 9781441921215 • Cycle representations of Markov processes, Sophia L. Kalpazidou, 2nd ed., New York, Springer, 2006, 1 vol. (XX-301 p.), Stochastic modelling and applied probability, 0-387-29166-0 |
| सारांश: | The cycle representations of Markov processes have been advanced after the publication of the ?rst edition to many directions. One main purpose of these advances was the revelation of wide-ranging interpretations of the - cle decompositions of Markov processes such as homologic decompositions, orthogonality equations, Fourier series, semigroup equations, disinteg- tions of measures, and so on, which altogether express a genuine law of real phenomena. The versatility of these interpretations is consequently motivated by the existence of algebraic topological principles in the fundamentals of the - clerepresentationsofMarkovprocesses,whicheliberatesthestandardview on the Markovian modelling to new intuitive and constructive approaches. For instance, the ruling role of the cycles to partition the ?nite-dimensional distributions of certain Markov processes updates Poincare s spirit to - scribing randomness in terms of the discrete partitions of the dynamical phase state; also, it allows the translation of the famous Minty s painting lemma (1966) in terms of the stochastic entities. Furthermore, the methods based on the cycle formula of Markov p- cesses are often characterized by minimal descriptions on cycles, which widelyexpressaphilosophicalanalogytotheKolmogoroveanentropicc- plexity. For instance, a deeper scrutiny on the induced Markov chains into smallersubsetsofstatesprovidessimplerdescriptionsoncyclesthanonthe stochastic matrices involved in the taboo probabilities. Also, the rec- rencecriteriaon cyclesimprovepreviousconditionsbased on thestochastic matrices, and provide plenty of examples |
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| वस्तु वर्णन: | Description d'après consultation du 16 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ग्रन्थसूची: | Bibliogr. p. [267]-296. Index |
| आईएसबीएन: | 9780387360812 |
| आईएसएसएन: | 2197-439X |
| अभिगमन: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |