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Hyperfinite Dirichlet Forms and Stochastic Processes
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Catalogue Information
Field name
Details
Dewey Class
511.3
Title
Hyperfinite Dirichlet Forms and Stochastic Processes ([Ebook]) / by Sergio Albeverio, Ruzong Fan, Frederik Herzberg.
Author
Albeverio, Sergio
Added Personal Name
Fan, Ruzong
Herzberg, Frederik
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 2011.
Physical Details
XIV, 284 pages, 1 illus. in color. : online resource.
Series
Lecture Notes of the Unione Matematica Italiana
1862-9113 ; ; 10
ISBN
9783642196591
Summary Note
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.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-642-19659-1
Links to Related Works
Subject References:
Distribution (Probability theory)
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Logic, Symbolic and mathematical
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Mathematical Logic and Foundations
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Mathematics
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Probability theory and stochastic processes
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Authors:
Albeverio, Sergio
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author
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Fan, Ruzong
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Herzberg, Frederik
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes of the Unione Matematica Italiana
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Classification:
511.3
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511.3 (DDC 23)
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