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STOCHASTIC SYSTEMS ANALYSIS
G. Adomian
Pages 1-17 - Book chapterAbstract only
VARIATIONAL FORMULATION OF SOME PROBLEMS FOR THE RANDOM HEAT EQUATION
Georges A. Bécus
Pages 19-36 - 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 - Book chapterAbstract only
SOME RANDOM BOUNDARY PROBLEMS IN TWO DIMENSIONS
P.L. Chow
Pages 71-82 - Book chapterAbstract only
COMPETITIVE-COOPERATIVE PROCESSES AND STABILITY OF DIFFUSION SYSTEMS
G.S. Ladde and V. Lakshmikantham
Pages 83-108 - Book chapterAbstract only
STOCHASTIC DIFFERENTIAL INEQUALITIES OF Itô TYPE
G.S. Ladde and V. Lakshmikantham
Pages 109-120 - Book chapterAbstract only
APPROXIMATE SOLUTION OF RANDOM DIFFERENTIAL AND INTEGRAL EQUATIONS
Melvin D. Lax
Pages 121-134 - Book chapterAbstract only
A SURVEY OF STOCHASTIC MODELS FOR BOD AND DO IN STREAMS
W.J. Padgett
Pages 135-150 - 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 - Book chapterAbstract only
OPTIMUM DETECTION AND ESTIMATION IN STOCHASTIC TRANSMISSION MEDIA
Leon E. Sibul
Pages 247-267 - Book chapterAbstract only
RECENT DEVELOPMENTS IN NONPARAMETRIC ESTIMATION OF PROBABILITY DENSITY
Chris P. Tsokos and A. Rust
Pages 269-281 - 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