Hyperfinite Dirichlet Forms and Stochastic Processes

• Main Authors: Albeverio, Sergio (Author), Fan, Ruzong (Author), Herzberg, Frederik (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Lecture Notes of the Unione Matematica Italiana, 10
• Subjects: Mathematics.; Mathematical logic.; Probabilities.; Mathematical Logic and Foundations.; Probability Theory and Stochastic Processes.

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...