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Markov Processes, Semigroups and Generators: de Gruyter Studies in Mathematics, cartea 38

Autor Vassili N. Kolokoltsov
en Mixed media product – 28 mar 2011
This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for applications. This work does just that, and with the necessary mathematical rigor.
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Specificații

ISBN-13: 9783119165105
ISBN-10: 3119165107
Ilustrații: Includes a print version and an ebook
Dimensiuni: 170 x 240 mm
Ediția:
Editura: De Gruyter
Seria de Gruyter Studies in Mathematics

Locul publicării:Berlin/Boston

Notă biografică

Vassili N. Kolokoltsov, University of Warwick, UK.

Cuprins

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Part I Brownian Motion, Markov Processes, Martingales.

1 Preliminaries in Probability and Analysis.

2 Browninan Motion I: Constructions.

3 Martingales and Markov Processes.

4 Browninan Motion II: Elements of Analysis.

Part II Basic Constructions of Markov Semigroups.

1 Analytic Constructions.

2 Probabilistic Constructions.

3 Heat Kernel Estimates.

4 Process in Cones and Bounded Domains.

Part III Extensions, Developments, Applications.

1 CTRW and Fractional Dynamics.

2 Complex Markov Chains and Feynman integral.

3 Controlled Processes.

4 Semiclassical Asymptotic.

5 Miscellany.

6 Bibliographical Comments.