Name: Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (en Inglés)
SKU: 57118552
Price: 129.69 USD
Availability: InStock
Author: Baladi, Viviane
ISBN: 9783030085056

portada Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (en Inglés)

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (en Inglés)

Formato

Libro Físico

Autor

Viviane Baladi

Editorial

Springer

Idioma

Inglés

N° páginas

291

Encuadernación

Tapa Blanda

Dimensiones

23.6x21.3x1.5 cm

Peso

0.59 kg.

ISBN13

9783030085056

Categorías

Análisis funcional y transformaciones
Cálculo diferencial y ecuaciones

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (en Inglés)

Viviane Baladi (Autor) · Springer · Tapa Blanda

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Reseña del libro "Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps: A Functional Approach (en Inglés)"

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators. In the hyperbolic case, the first key step consists in constructing a suitable Banach space of anisotropic distributions. The first part of the book is devoted to the easier case of expanding endomorphisms, showing how the (isotropic) function spaces relevant there can be studied via Paley-Littlewood decompositions, and allowing easier access to the construction of the anisotropic spaces which is performed in the second part. This is the first book describing the use of anisotropic spaces in dynamics. Aimed at researchers and graduate students, it presents results and techniques developed since the beginning of the twenty-first century.