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Kniha Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps Viviane Baladi

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

A Functional Approach

Autor: Viviane Baladi
Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Springer International Publishing AG
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
129.51 €
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...

Informácie o knihe

Autor
Viviane Baladi
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2018
Stránok
291
EAN
9783319776606
ISBN
3319776606
Enbook ID
18962106
Vydavateľ
Springer International Publishing AG
Hmotnosť
708
Rozmery
163 x 242 x 15

Kompletný popis

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.

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