Name: Non-Integrable Flat Dynamical Systems (en Inglés)
SKU: 66727321
Price: 179.49 USD
Availability: InStock
Author: Beck Jozsef

portada Non-Integrable Flat Dynamical Systems (en Inglés)

Non-Integrable Flat Dynamical Systems (en Inglés)

Formato

Libro Físico

Editorial

World Scientific Publishing Company

Autor

Beck Jozsef

Idioma

Inglés

N° páginas

448

Encuadernación

Tapa Dura

Dimensiones

24.4x17x2.5 cm

ISBN13

9789819803156

Non-Integrable Flat Dynamical Systems (en Inglés)

Beck Jozsef (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "Non-Integrable Flat Dynamical Systems (en Inglés)"

This book provides a systematic introduction and treatment of non-integrable flat systems. More precisely, it develops analogues of the well-known Kronecker-Weyl equidistribution theorem for various non-integrable flat systems. The distribution properties of half-infinite geodesics in non-integrable flat dynamical systems are investigated, with particular emphasis on density and uniformity on various flat surfaces, as well as generalizations to higher dimensions and related problems.The approach to addressing some of these uniformity questions combines traditional ergodic theory methods, such as the Birkhoff ergodic theorem, with tools from number theory and new ideas outside the field of ergodic theory. Several non-trivial results on 3-dimensional flat systems are included, expanding upon the extensive literature on 2-dimensional non-integrable flat dynamical systems, which often focuses on plane-specific methods that do not readily adapt to 3-dimensional systems. New approaches are developed to address these challenges.A systematic study of a class of dissipative systems is also presented, where the flow is neither time-reversible nor measure-preserving. The overwhelming majority of the material in this book represents previously unpublished research.