Probabilistic Properties of Deterministic Systems by Andrzej Lasota
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Probabilistic Properties of Deterministic Systems
By Andrzej Lasota

Probabilistic Properties of Deterministic Systems

By (author) See other recent books by Andrzej Lasota See other recent books by Michael C. Mackey
Format: Paperback

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Probabilistic Properties of Deterministic Systems by Andrzej Lasota

Book Description

This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed.

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Book Details

ISBN: 9780521090964
ISBN-10: 0521090962
Format: Paperback
(228mm x 152mm x 21mm)
Pages: 372
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Nov-2008
Country of Publication: United Kingdom

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Books By Author Andrzej Lasota

Chaos, Fractals and Noise by Andrzej Lasota Chaos, Fractals and Noise, Hardback (April 1998)

This book offers a unified treatment of a variety of mathematical systems generating densities, from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Includes numerous examples.

» View all books by Andrzej Lasota

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