LMS: 54 Markov Processes - Brossura

Dynkin, E. B.

 
9780521285124: LMS: 54 Markov Processes

Sinossi

The theory of Markov Processes has become a powerful tool in partial differential equations and potential theory with important applications to physics.

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Descrizione del libro

The theory of Markov Processes has become a powerful tool in partial differential equations and potential theory with important applications to physics. Professor Dynkin has made many profound contributions to the subject and in this volume are collected several of his most important expository and survey articles.

Contenuti

1. Markov processes and related problems of analysis; 2. Martin boundaries and non-negative solutions of a boundary value problem with a directional derivative; 3. Boundary theory of Markov processes (the discrete case); 4. The initial and final behaviour of trajectories of Markov processes; 5. Integral representation of excessive measures and excessive functions; 6. Regular Markov processes; 7 Markov representations of stochastic systems; 8. Sufficient statistics and extreme points; 9. Minimal excessive measures and functions.

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