Dimension Theory, Michael G. Charalambous

Автор: Louis S. Block; William A. Coppel
Название: Dynamics in One Dimension
ISBN: 3540553096 ISBN-13(EAN): 9783540553090
Издательство: Springer
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Цена: 6288.00 р.
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Описание: The behaviour under iteration of unimodal maps of aninterval, such as the logistic map, has recently attractedconsiderable attention. It is not so widely known that asubstantial theory has by now been built up for arbitrarycontinuous maps of an interval.

Автор: Manuel Fern?ndez-Mart?nez; Juan Luis Garc?a Guirao
Название: Fractal Dimension for Fractal Structures
ISBN: 3030166449 ISBN-13(EAN): 9783030166441
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts. In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithms for properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and L?vy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes.This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.

Автор: Bracci
Название: Geometric Function Theory in Higher Dimension
ISBN: 3319731254 ISBN-13(EAN): 9783319731254
Издательство: Springer
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Цена: 10760.00 р.
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Описание: The book collects the most relevant outcomes from the INdAM Workshop "Geometric Function Theory in Higher Dimension" held in Cortona on September 5-9, 2016. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics.

Автор: Alexandru Buium
Название: Differential Algebraic Groups of Finite Dimension
ISBN: 3540551816 ISBN-13(EAN): 9783540551812
Издательство: Springer
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Цена: 3487.00 р.
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Описание: This text aims to provide an introduction to differential algebraic groups, and to supply a structure and classification theory for the finite dimensional ones.

Автор: Michel Coornaert
Название: Topological Dimension and Dynamical Systems
ISBN: 3319197932 ISBN-13(EAN): 9783319197937
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov.

Автор: Giorgio Fabbri; Fausto Gozzi; Andrzej ?wi?ch; Marc
Название: Stochastic Optimal Control in Infinite Dimension
ISBN: 3319530666 ISBN-13(EAN): 9783319530666
Издательство: Springer
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Цена: 23757.00 р.
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Описание: With a Contribution by M. Fuhrman and G. Tessitore

Автор: Hurewicz Witold, Wallman Henry
Название: Dimension Theory (PMS-4)
ISBN: 0691627746 ISBN-13(EAN): 9780691627748
Издательство: Wiley
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Цена: 4752.00 р.
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Описание:

Book 4 in the Princeton Mathematical Series.

Originally published in 1941.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.