Brownian motion on nested fractals / Tom Lindstrøm.

Format:

Book

Author/Creator:

Lindstrøm, Tom, 1954- author.

Series:

Memoirs of the American Mathematical Society ; Volume 83, Number 420.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 83, Number 420

Language:

English

Subjects (All):

Brownian motion processes.

Fractals.

Physical Description:

1 online resource (140 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1990.

Language Note:

English

Summary:

Lindstrom (U. of Oslo) constructs Brownian motion on a reasonably general class of self-similar fractals. He deals with diffusions, self-similar fractals, fractal Laplacians, asymptotic distribution of eigenvalues, nonstandard analysis. Annotation copyright Book News, Inc. Portland, Or.

Contents:

""Table of Contents""; ""I. Introduction""; ""II. Fractals in physics and mathematics""; ""III. Brownian motion on a snowflake""; ""IV. Nested fractals""; ""V. Transition probabilities""; ""VI. Transition times""; ""VII. Brownian motion on nested fractals""; ""VIII. An invariance principle""; ""IX. The Laplacian and its eigenvalues""; ""X. Open problems""; ""Note""; ""References""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y""

Notes:

"January 1990, Volume 83, Number 120 (second of 6 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0843-0