Download Full eBooks in PDF
Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds book. This book definitely worth reading, it is an incredibly well-written.
Author : Mark Pollicott
Publisher : Unknown
Page : 172 pages
File Size : 42,8 Mb
Release : 1993
Category : Ergodic theory
ISBN : 1107094623
These lecture notes provide a unique introduction to Pesin theory and its applications.
Author : Mark Pollicott
Publisher : Cambridge University Press
Page : 176 pages
File Size : 48,8 Mb
Release : 1993-02-04
Category : Mathematics
ISBN : 0521435935
These lecture notes provide a unique introduction to Pesin theory and its applications.
Author : Paul R. Halmos
Publisher : Courier Dover Publications
Page : 112 pages
File Size : 42,5 Mb
Release : 2017-11-15
Category : Mathematics
ISBN : 9780486826844
This concise classic by a well-known master of mathematical exposition covers recurrence, ergodic theorems, ergodicity and mixing properties, and the relation between conjugacy and equivalence. 1956 edition.
Author : Sergey Bezuglyi
Publisher : Cambridge University Press
Page : 276 pages
File Size : 50,8 Mb
Release : 2003-12-08
Category : Mathematics
ISBN : 0521533651
This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.
Author : Karl E. Petersen
Publisher : Cambridge University Press
Page : 452 pages
File Size : 53,9 Mb
Release : 1995-01-27
Category : Mathematics
ISBN : 9780521459990
Ergodic theory is a field that is stimulating on its own, and also in its interactions with other branches of mathematics and science. In recent years, the interchanges with harmonic analysis have been especially noticeable and productive. This book contains survey papers describing the relationship of ergodic theory with convergence, rigidity theory and the theory of joinings. These papers present the background of each area of interaction, the most outstanding results and promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas. Thirteen related research papers describe the work; several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder deal with convergence and a variety of other topics in dynamics.
Author : Mark Pollicott,Klaus Schmidt
Publisher : Cambridge University Press
Page : 496 pages
File Size : 48,5 Mb
Release : 1996-03-28
Category : Mathematics
ISBN : 9780521576888
A mixture of surveys and original articles that span the theory of Zd actions.
Author : Igor Dolgachev
Publisher : Cambridge University Press
Page : 244 pages
File Size : 51,9 Mb
Release : 2003-08-07
Category : Mathematics
ISBN : 0521525489
The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Author : Eduard Zehnder
Publisher : European Mathematical Society
Page : 372 pages
File Size : 46,7 Mb
Release : 2010
Category : Dynamics
ISBN : 3037190817
This book originated from an introductory lecture course on dynamical systems given by the author for advanced students in mathematics and physics at ETH Zurich. The first part centers around unstable and chaotic phenomena caused by the occurrence of homoclinic points. The existence of homoclinic points complicates the orbit structure considerably and gives rise to invariant hyperbolic sets nearby. The orbit structure in such sets is analyzed by means of the shadowing lemma, whose proof is based on the contraction principle. This lemma is also used to prove S. Smale's theorem about the embedding of Bernoulli systems near homoclinic orbits. The chaotic behavior is illustrated in the simple mechanical model of a periodically perturbed mathematical pendulum. The second part of the book is devoted to Hamiltonian systems. The Hamiltonian formalism is developed in the elegant language of the exterior calculus. The theorem of V. Arnold and R. Jost shows that the solutions of Hamiltonian systems which possess sufficiently many integrals of motion can be written down explicitly and for all times. The existence proofs of global periodic orbits of Hamiltonian systems on symplectic manifolds are based on a variational principle for the old action functional of classical mechanics. The necessary tools from variational calculus are developed. There is an intimate relation between the periodic orbits of Hamiltonian systems and a class of symplectic invariants called symplectic capacities. From these symplectic invariants one derives surprising symplectic rigidity phenomena. This allows a first glimpse of the fast developing new field of symplectic topology.
Author : Peter Topping
Publisher : Cambridge University Press
Page : 124 pages
File Size : 40,6 Mb
Release : 2006-10-12
Category : Mathematics
ISBN : 9780521689472
An introduction to Ricci flow suitable for graduate students and research mathematicians.
Author : B. Hasselblatt,A. Katok
Publisher : Elsevier
Page : 1232 pages
File Size : 53,9 Mb
Release : 2002-08-20
Category : Mathematics
ISBN : 9780080533445
Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics. Volume 1B will appear 2005.
Author : Giuseppe Da Prato,J. Zabczyk
Publisher : Cambridge University Press
Page : 355 pages
File Size : 47,6 Mb
Release : 1996-05-16
Category : Mathematics
ISBN : 9780521579001
This is the only book on stochastic modelling of infinite dimensional dynamical systems.
Author : Michael Field,Mike Field,Matthew Nicol
Publisher : American Mathematical Soc.
Page : 100 pages
File Size : 55,7 Mb
Release : 2004
Category : Mathematics
ISBN : 9780821835999
We obtain stability and structural results for equivariant diffeomorphisms which are hyperbolic transverse to a compact (connected or finite) Lie group action and construct `$\Gamma$-regular' Markov partitions which give symbolic dynamics on the orbit space. We apply these results to the situation where $\Gamma$ is a compact connected Lie group acting smoothly on $M$ and $F$ is a smooth (at least $C^2$) $\Gamma$-equivariant diffeomorphism of $M$ such that the restriction of $F$ to the $\Gamma$- and $F$-invariant set $\Lambda\subset M$ is partially hyperbolic with center foliation given by $\Gamma$-orbits. On the assumption that the $\Gamma$-orbits all have dimension equal to that of $\Gamma$, we show that there is a naturally defined $F$- and $\Gamma$-invariant measure $\nu$ of maximal entropy on $\Lambda$ (it is not assumed that the action of $\Gamma$ is free). In this setting we prove a version of the Livsic regularity theorem and extend results of Brin on the structure of the ergodic components of compact group extensions of Anosov diffeomorphisms. We show as our main result that generically $(F,\Lambda,\nu)$ is stably ergodic (openness in the $C^2$-topology). In the case when $\Lambda$ is an attractor, we show that $\Lambda$ is generically a stably SRB attractor within the class of $\Gamma$-equivariant diffeomorphisms of $M$.
Author : Alfred Hoblitzelle Clifford
Publisher : Cambridge University Press
Page : 180 pages
File Size : 48,7 Mb
Release : 1996-05-16
Category : Mathematics
ISBN : 0521576695
This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. The authors represent the leading areas of research in semigroup theory and its applications, both to other areas of mathematics and to areas outside mathematics. Included are papers by Gordon Preston surveying Clifford's work on Clifford semigroups and by John Rhodes tracing the influence of Clifford's work on current semigroup theory. Notable among the areas of application are the paper by Jean-Eric Pin on applications of other areas of mathematics to semigroup theory and the paper by the editors on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory will find this volume invaluable.
Author : Y. Komori,V. Markovic,C. Series
Publisher : Cambridge University Press
Page : 396 pages
File Size : 45,7 Mb
Release : 2003-11-10
Category : Mathematics
ISBN : 1139437232
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.
Author : Lidia Angeleri Hügel,Dieter Happel,Henning Krause
Publisher : Cambridge University Press
Page : 482 pages
File Size : 53,9 Mb
Release : 2007-01-04
Category : Mathematics
ISBN : 052168045X
A handbook of key articles providing both an introduction and reference for newcomers and experts alike.