Cover for Applied Stochastic Processes

Applied Stochastic Processes

Book1980

Edited by:

G. ADOMIAN

Applied Stochastic Processes

Book1980

 

Cover for Applied Stochastic Processes

Edited by:

G. ADOMIAN

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Book description

Applied Stochastic Processes is a collection of papers dealing with stochastic processes, stochastic equations, and their applications in many fields of science. One paper discusse ... read full description

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  2. Book chapterAbstract only

    STOCHASTIC SYSTEMS ANALYSIS

    G. Adomian

    Pages 1-17

  3. Book chapterAbstract only

    VARIATIONAL FORMULATION OF SOME PROBLEMS FOR THE RANDOM HEAT EQUATION

    Georges A. Bécus

    Pages 19-36

  4. Book chapterAbstract only

    LIMITATIONS ON DETERMINISM AT THE CELLULAR LEVEL IN BIOLOGY DUE TO VARIABILITY AT THE MOLECULAR LEVEL

    Burt V. Bronk

    Pages 37-69

  5. Book chapterAbstract only

    SOME RANDOM BOUNDARY PROBLEMS IN TWO DIMENSIONS

    P.L. Chow

    Pages 71-82

  6. Book chapterAbstract only

    COMPETITIVE-COOPERATIVE PROCESSES AND STABILITY OF DIFFUSION SYSTEMS

    G.S. Ladde and V. Lakshmikantham

    Pages 83-108

  7. Book chapterAbstract only

    STOCHASTIC DIFFERENTIAL INEQUALITIES OF Itô TYPE

    G.S. Ladde and V. Lakshmikantham

    Pages 109-120

  8. Book chapterAbstract only

    APPROXIMATE SOLUTION OF RANDOM DIFFERENTIAL AND INTEGRAL EQUATIONS

    Melvin D. Lax

    Pages 121-134

  9. Book chapterAbstract only

    A SURVEY OF STOCHASTIC MODELS FOR BOD AND DO IN STREAMS

    W.J. Padgett

    Pages 135-150

  10. Book chapterAbstract only

    SOLUTIONS OF PHYSICAL STOCHASTIC PROCESSES VIA MAPPINGS ONTO IDEAL AND DEFECTIVE RANDOM WALK LATTICES

    Michael F. Shlesinger and Uzi Landman

    Pages 151-246

  11. Book chapterAbstract only

    OPTIMUM DETECTION AND ESTIMATION IN STOCHASTIC TRANSMISSION MEDIA

    Leon E. Sibul

    Pages 247-267

  12. Book chapterAbstract only

    RECENT DEVELOPMENTS IN NONPARAMETRIC ESTIMATION OF PROBABILITY DENSITY

    Chris P. Tsokos and A. Rust

    Pages 269-281

  13. Book chapterAbstract only

    ON DISSIPATIVE NONLINEAR HAMILTONIAN SYSTEMS

    Bruce J. West

    Pages 283-301

About the book

Description

Applied Stochastic Processes is a collection of papers dealing with stochastic processes, stochastic equations, and their applications in many fields of science. One paper discusses stochastic systems involving randomness in the system itself that can be a large dynamical multi-input, multi-output system. Examples of a large system are the national economy of a major country or when an acoustic wave is propagating as in the atmosphere, ocean, or sea. Another paper proves that only the average properties of the molecules of biology can be measured with precision in the test tube; and disputes a "simplistic" model of the cell as defined by a miniature Laplaces' universe. The paper notes that the way existing cells are constructed implies that quantum mechanical principles lead to certain questions (about simple experiments) having only statistical answers. Another paper addresses the detection of distributed, fluctuating targets in a reverberation limited, randomly time, and space varying transmission media. This approach is done by using the concepts of "random Green's functions" and the "stochastic Green's function." The collection will prove useful for cellular researchers, mathematicians, physicist, engineers, and academicians in the field of applied mathematics, statistics, and chemistry.

Applied Stochastic Processes is a collection of papers dealing with stochastic processes, stochastic equations, and their applications in many fields of science. One paper discusses stochastic systems involving randomness in the system itself that can be a large dynamical multi-input, multi-output system. Examples of a large system are the national economy of a major country or when an acoustic wave is propagating as in the atmosphere, ocean, or sea. Another paper proves that only the average properties of the molecules of biology can be measured with precision in the test tube; and disputes a "simplistic" model of the cell as defined by a miniature Laplaces' universe. The paper notes that the way existing cells are constructed implies that quantum mechanical principles lead to certain questions (about simple experiments) having only statistical answers. Another paper addresses the detection of distributed, fluctuating targets in a reverberation limited, randomly time, and space varying transmission media. This approach is done by using the concepts of "random Green's functions" and the "stochastic Green's function." The collection will prove useful for cellular researchers, mathematicians, physicist, engineers, and academicians in the field of applied mathematics, statistics, and chemistry.

Details

ISBN

978-0-12-044380-2

Language

English

Published

1980

Copyright

Copyright © 1980 Elsevier Inc. All rights reserved.

Imprint

Academic Press

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Editors

G. ADOMIAN

Center for Applied Mathematics, University of Georgia, Athens, Georgia