Brownian motion, obstacles and random media

書誌事項

Brownian motion, obstacles and random media

Alain-Sol Sznitman

(Springer monographs in mathematics)

Springer, c1998

  • : softcover

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注記

Bibliography: p. [343]-350

Includes index

内容説明・目次

内容説明

This book provides an account for the non-specialist of the circle of ideas, results and techniques, which grew out in the study of Brownian motion and random obstacles. It also includes an overview of known results and connections with other areas of random media, taking a highly original and personal approach throughout.

目次

1. The Feynman-Kac Formula and Semigroups.- 2. Some Potential Theory.- 3. Some Principal Eigenvalue Estimates.- 4. The Method of Enlargement of Obstacles.- 5. Lyapunov Exponents.- 6. Quenched Path Measure and Pinning Effect.- 7. Overview, further Results and Problems.- References.

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