Mark Pollicott – författare

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9 produkter

Del 180 - London Mathematical Society Lecture Note Series
Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds
AvMark Pollicott
Häftad, Engelska, 1993
772 kr
Skickas inom 7-10 vardagar
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. The notes are divided into two parts. The first develops the basic theory, starting with general ergodic theory and introducing Liapunov exponents. Part Two deals with the applications of Pesin theory and contains an account of the existence (and distribution) of periodic points. It closes with a look at stable manifolds, and gives some results on absolute continuity. These lecture notes provide a unique introduction to Pesin theory and its applications. The author assumes that the reader has only a good background of undergraduate analysis and nothing further, so making the book accessible to complete newcomers to the field.
Del 40 - London Mathematical Society Student Texts
Dynamical Systems and Ergodic Theory
AvMark Pollicott,Michiko Yuri
Inbunden, Engelska, 1998
1 563 kr
Skickas inom 7-10 vardagar
This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).
Del 40 - London Mathematical Society Student Texts
Dynamical Systems and Ergodic Theory
AvMark Pollicott,Michiko Yurim. fl.
Häftad, Engelska, 1998
635 kr
Skickas inom 7-10 vardagar
This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).
Del 228 - London Mathematical Society Lecture Note Series
Ergodic Theory and Zd Actions
AvMark Pollicott,Klaus Schmidt
Häftad, Engelska, 1996
1 013 kr
Skickas inom 7-10 vardagar
The classical theory of dynamical systems has tended to concentrate on Z-actions or R-actions. However in recent years there has been considerable progress in the study of higher dimensional actions (i.e. Zd or Rd with d>1). This book represents the proceedings of the 1993-4 Warwick Symposium on Zd actions. It comprises a mixture of surveys and original articles that span many of the diverse facets of the subject, including important connections with statistical mechanics, number theory and algebra. Researchers in ergodic theory and related fields will find that this book is an invaluable resource.
Asymptotic Counting in Conformal Dynamical Systems
AvMark Pollicott,Mariusz Urbanski
Häftad, Engelska, 2021
1 005 kr
Skickas inom 5-8 vardagar
Del 2290 - Lecture Notes in Mathematics
Thermodynamic Formalism
CIRM Jean-Morlet Chair, Fall 2019
AvMark Pollicott,Sandro Vaienti
Häftad, Engelska, 2021
707 kr
Skickas inom 10-15 vardagar
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 includes a number of surveys intended to make the field more accessible to younger mathematicians and scientists wishing to learn more about the area. Thermodynamic formalism has been a powerful tool in ergodic theory and dynamical system and its applications to other topics, particularly Riemannian geometry (especially in negative curvature), statistical properties of dynamical systems and fractal geometry.This work will be of value both to graduate students and more senior researchers interested in either learning about the main ideas and themes in thermodynamic formalism, and research themes which are at forefront of research in this area.
Thermodynamic Formalism
CIRM Jean-Morlet Chair, Fall 2019
AvSandro Vaienti,Mark Pollicott
E-bok
Engelska, 2021
870 kr
Läs direkt efter köp
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 includes a number of surveys intended to make the field more accessible to younger mathematicians and scientists wishing to learn more about the area. Thermodynamic formalism has been a powerful tool in ergodic theory and dynamical system and its applications to other topics, particularly Riemannian geometry (especially in negative curvature), statistical properties of dynamical systems and fractal geometry.This work will be of value both to graduate students and more senior researchers interested in either learning about the main ideas and themes in thermodynamic formalism, and research themes which are at forefront of research in this area.
Del 2206 - Lecture Notes in Mathematics
Open Conformal Systems and Perturbations of Transfer Operators
AvMark Pollicott,Mariusz Urbański
Häftad, Engelska, 2018
492 kr
Skickas inom 10-15 vardagar
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 zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved.The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.
Open Conformal Systems and Perturbations of Transfer Operators
AvMariusz Urbanski,Mark Pollicott
E-bok
Engelska, 2018
631 kr
Läs direkt efter köp
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 zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved.

The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps.

Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.

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Mark Pollicott – författare

Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

Dynamical Systems and Ergodic Theory

Dynamical Systems and Ergodic Theory

Ergodic Theory and Zd Actions

Asymptotic Counting in Conformal Dynamical Systems

Thermodynamic Formalism

Thermodynamic Formalism

Open Conformal Systems and Perturbations of Transfer Operators

Open Conformal Systems and Perturbations of Transfer Operators

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