Classical and Dynamical Markov and Lagrange Spectra: Dynamical, Fractal and Arithmetic Aspects - Image 1

£48.27

World Scientific Publishing Company Classical and Dynamical Markov and Lagrange Spectra: Dynamical, Fractal and Arithmetic Aspects

Name: Classical and Dynamical Markov and Lagrange Spectra: Dynamical, Fractal and Arithmetic Aspects
Brand: World Scientific Publishing Company
Price: 48.27 GBP
Availability: InStock

Mathematical Theory

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Description

The book intends to give a modern presentation of the classical Markov and Lagrange spectrum, which are fundamental objects from the theory of Diophantine approximations and of their several generalizations related to Dynamical Systems and Differential Geometry. Besides presenting many classical results, the book includes several topics of recent research on the subject, connecting several fields of Mathematics — Number Theory, Dynamical Systems and Fractal Geometry. It includes topics as: Classical results on the Markov and Lagrange spectra: the Markov theorem on the lower spectra The fractal geometry of the complement of the Lagrange spectrum in the Markov spectrum Continuity of Hausdorff dimension of the spectra intersected with half-lines: the classical spectra and dynamical generalizations Intervals in the classical spectra and dynamical generalizations The beginning of the spectra: discrete initial part and first accumulation points (in the classical and dynamical cases) Markov and Lagrange spectra for Teichmüller dynamics

Product Specifications

Brand: World Scientific Publishing Company
Format: Hardcover
ASIN: 9811225281
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Theory
Domain: Amazon UK
Release Date: 29 October 2020
Listed Since: 08 August 2020

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World Scientific Publishing Company Classical and Dynamical Markov and Lagrange Spectra: Dynamical, Fractal and Arithmetic Aspects

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