Markov Processes, Semigroups and Generators
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Markov processes represent a universal model for a large variety of real life random evolutions. The wide flow of new ideas, tools, methods and applications constantly pours into the ever-growing stream of research on Markov processes that rapidly spreads over new fields of natural and social sciences, creating new streamlined logical paths to its turbulent boundary. Even if a given process is not Markov, it can be often inserted into a larger Markov one (Markovianization procedure) by including the key historic parameters into the state space.
This monograph gives a concise, but systematic and self-contained, exposition of the essentials of Markov processes, together with recent achievements, working from the "physical picture" - a formal pre-generator, and stressing the interplay between probabilistic (stochastic differential equations) and analytic (semigroups) tools.
The book will be useful to students and researchers. Part I can be used for a one-semester course on Brownian motion, Lévy and Markov processes, or on probabilistic methods for PDE. Part II mainly contains the author's research on Markov processes.
From the contents:
- Tools from Probability and Analysis
- Brownian motion
- Markov processes and martingales
- SDE, ψDE and martingale problems
- Processes in Euclidean spaces
- Processes in domains with a boundary
- Heat kernels for stable-like processes
- Continuous-time random walks and fractional dynamics
- Complex chains and Feynman integral
Details
- Publisher
- De Gruyter
- Author
- Vassili N. Kolokoltsov
- Format
- Hardcover
- Published
- Mar 17, 2011
- ISBN-13
- 9783110250107
- ISBN-10
- 3110250101
- Pages
- 448
Markov Processes, Semigroups and Generators for groups: pricing
Volume pricing applies automatically in your cart. No codes, no account needed.
| Copies | Price per copy | You save |
|---|---|---|
| 25 – 99 | $237.00 | 21% off list |
| 100 – 249 | $228.00 | 24% off list |
| 250 – 499 | $225.00 | 25% off list |
| 500 – 999 | $216.00 | 28% off list |
| 1,000+ | $210.00 | 30% off list |
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