Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds

Author : Mark Pollicott
Publisher : Cambridge University Press
ISBN 13 : 9780521435932
Total Pages : 176 pages
Book Rating : 4.35/5 ( download)

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Download or read book Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds written by Mark Pollicott and published by Cambridge University Press. This book was released on 1993-02-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a unique introduction to Pesin theory and its applications.

Author : Sergey Bezuglyi
Publisher : Cambridge University Press
ISBN 13 : 9780521533652
Total Pages : 276 pages
Book Rating : 4.51/5 ( download)

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Download or read book Topics in Dynamics and Ergodic Theory written by Sergey Bezuglyi and published by Cambridge University Press. This book was released on 2003-12-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Endel Petersen
Publisher : Cambridge University Press
ISBN 13 : 0521459990
Total Pages : 452 pages
Book Rating : 4.90/5 ( download)

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Download or read book Ergodic Theory and Its Connection with Harmonic Analysis written by Karl Endel Petersen and published by Cambridge University Press. This book was released on 1995 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tutorial survey papers on important areas of ergodic theory, with related research papers.

Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 0486826848
Total Pages : 112 pages
Book Rating : 4.44/5 ( download)

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Download or read book Lectures on Ergodic Theory written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mark Pollicott
Publisher : Cambridge University Press
ISBN 13 : 0521576881
Total Pages : 496 pages
Book Rating : 4.88/5 ( download)

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Download or read book Ergodic Theory and Zd Actions written by Mark Pollicott and published by Cambridge University Press. This book was released on 1996-03-28 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mixture of surveys and original articles that span the theory of Zd actions.

Author : Igor Dolgachev
Publisher : Cambridge University Press
ISBN 13 : 9780521525480
Total Pages : 244 pages
Book Rating : 4.89/5 ( download)

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Download or read book Lectures on Invariant Theory written by Igor Dolgachev and published by Cambridge University Press. This book was released on 2003-08-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9783037190814
Total Pages : 372 pages
Book Rating : 4.17/5 ( download)

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Download or read book Lectures on Dynamical Systems written by Eduard Zehnder and published by European Mathematical Society. This book was released on 2010 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : B. Hasselblatt
Publisher : Elsevier
ISBN 13 : 0080533442
Total Pages : 1232 pages
Book Rating : 4.45/5 ( download)

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Download or read book Handbook of Dynamical Systems written by B. Hasselblatt and published by Elsevier. This book was released on 2002-08-20 with total page 1232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Peter Topping
Publisher : Cambridge University Press
ISBN 13 : 0521689473
Total Pages : 124 pages
Book Rating : 4.72/5 ( download)

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Download or read book Lectures on the Ricci Flow written by Peter Topping and published by Cambridge University Press. This book was released on 2006-10-12 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to Ricci flow suitable for graduate students and research mathematicians.

Author : Giuseppe Da Prato
Publisher : Cambridge University Press
ISBN 13 : 0521579007
Total Pages : 355 pages
Book Rating : 4.01/5 ( download)

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Download or read book Ergodicity for Infinite Dimensional Systems written by Giuseppe Da Prato and published by Cambridge University Press. This book was released on 1996-05-16 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book on stochastic modelling of infinite dimensional dynamical systems.