<p><p>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 d
Dynamical zeta functions for piecewise monotone maps of the interval
β Scribed by David Ruelle
- Publisher
- American Mathematical Society
- Year
- 1994
- Tongue
- English
- Leaves
- 69
- Series
- CRM monograph series 4
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
<p>Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course i
<p>Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of loΒ cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta
The original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined for number-theoretic purposes, such as the study of primes in arithmetic progressions. This led to the development of $L$-functions, which n