In this monograph we consider the general setting of conformal graph directed Markov systems modeled by countable state symbolic subshifts of finite type. We deal with two classes of such systems: attracting and parabolic. The latter being treated b...Daugiau...
This volume arose from a semester at CIRM-Luminy on Thermodynamic Formalism: Applications to Probability, Geometry and Fractals which brought together leading experts in the area to discuss topical problems and recent progress. It in...Daugiau...
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to z...Daugiau...
(Išleidimo metai: 29-Jan-1998, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521572941)
Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory. This book is an introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the in...Daugiau...
Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory. This book is an introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the in...Daugiau...
Seven survey papers and a dozen research reports reflect the broadening of the study of dynamical systems from discrete or continuous time evolutions to include higher dimensional actions. Among the topics are ergodic Ramsey theory, Rudolphs theorem...Daugiau...
Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. Emphasis is p...Daugiau...