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CLASSICAL AND DYNAMICAL MARKOV AND LAGRANGE SPECTRA: Dynamical, Fractal and Arithmetic Aspects - Hardcover

Lima, Davi Dos Santos; Santos, Carlos Matheus Silva; Moreira, Carlos Gustavo; Ibarra, Sergio Augusto Romana

 
9789811225284: CLASSICAL AND DYNAMICAL MARKOV AND LAGRANGE SPECTRA: Dynamical, Fractal and Arithmetic Aspects
Hardcover
ISBN 10: 9811225281 ISBN 13: 9789811225284
Verlag: World Scientific, 2020

Inhaltsangabe

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:

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Von der hinteren Coverseite

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 Teichmller dynamics

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
World Scientific
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
9811225281
ISBN 13 
9789811225284
Einband
Gebundene Ausgabe
Anzahl der Seiten
228
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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Osnabrück
Niedersachsen
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Deutschland