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Iterates of piecewise monotone mappings on an interval by Christopher J. Preston

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Published by Springer-Verlag in Berlin, New York .
Written in English


  • Functions of real variables.,
  • Mappings (Mathematics),
  • Topological dynamics.

Book details:

Edition Notes

StatementChris Preston.
SeriesLecture notes in mathematics ;, 1347, Lecture notes in mathematics (Springer-Verlag) ;, 1347.
LC ClassificationsQA3 .L28 no. 1347, QA331 .L28 no. 1347
The Physical Object
Pagination166 p. :
Number of Pages166
ID Numbers
Open LibraryOL2051726M
ISBN 100387503293
LC Control Number88029451

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Iterates of piecewise monotone mappings on an interval. Berlin ; New York: Springer-Verlag, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Christopher J Preston. Cite this chapter as: Preston C. () Piecewise monotone mappings. In: Iterates of Piecewise Monotone Mappings on an Interval. Lecture Notes in Mathematics, vol Author: Chris Preston. Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. This book deals with the properties of the Iterates of such mappings. It focuses on the topological aspects of the theory of piecewise monotone mappings. Iterates Of Piecewise Monotone Mappings on an Interval: Preston, Chris: Books - or: Chris Preston.

Like this question, my motivation is to decompose the interval Stack Exchange Network Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The main examples to which the approach can be applied are piecewise monotone mappings defined on an interval or a finite graph. Comment: 17 pages Discover the world's research. The Milnor–Thurston kneading theory is a mathematical theory which analyzes the iterates of piecewise monotone mappings of an interval into itself. The emphasis is on understanding the properties of the mapping that are invariant under topological conjugacy.. The theory had been developed by John Milnor and William Thurston in two widely circulated and influential Princeton preprints from. Namely, we shall investigate the existence of continuous: piecewise monotone, piecewise strictly monotone, and piecewise linear n-th roots of interval maps which have a continuous n-th root.

In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain, a sub-domain. Piecewise is actually a way of expressing the function, rather than a characteristic of the function itself, but with additional qualification, it can. Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval (Crm Monograph Series) by Ruelle, David and a great selection of related books, art and collectibles available now at We use ideas of symbolic dynamics to define the topological entropy h (S) for a piecewise continuous piecewise monotone interval map S by counting the n-addresses of S with respect to a suitable system of pairwise disjoint open intervals. It turns out that this definition yields the same value as Bowen's definition using (n, ε)-separated and (n, ε)-spanning by: 2. Optimal synthesis, light scattering, and diffraction on a ribbon are just some of the applied problems for which Integral equations with difference kernels are employed. The same equations are also met in important mathematical problems such as inverse spectral problems, nonlinear Integral equations, and factorization of operators.. On the basis of the operator identity method, the theory of.