Hyperfinite Dirichlet Forms and Stochastic Processes
Language: English
Published by Springer, Springer Vieweg Mai 2011, 2011
Series: Book 9 of 26 - Lecture Notes of the Unione Matematica Italiana
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using 'nonstandard analysis.' Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite- and infinite-dimensional spaces.The present monograph provides a thorough treatment of the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 300 pp. Englisch.
Seller Inventory # 9783642196584
- Title
- Hyperfinite Dirichlet Forms and Stochastic Processes
- Author
- Sergio Albeverio
- Publisher
- Springer, Springer Vieweg Mai 2011
- Publication year
- 2011
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3642196586
- ISBN 13
- 9783642196584
- Item weight
- 458 grams
- Dimensions
- 235x155x17 mm
- Series
- Book 9 of 26: Lecture Notes of the Unione Matematica Italiana
This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "nonstandard analysis." Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite- and infinite-dimensional spaces.
The present monograph provides a thorough treatment of the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "nonstandard analysis." Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite- and infinite-dimensional spaces.
The present monograph provides a thorough treatment of the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.
"About the title" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
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