Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds
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Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds
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Author : Mark Pollicott
language : en
Publisher: Cambridge University Press
Release Date : 1993-02-04
Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds written by Mark Pollicott and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-04 with Mathematics categories.
These lecture notes provide a unique introduction to Pesin theory and its applications.
Lectures On Invariant Theory
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Author : Igor Dolgachev
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07
Lectures On Invariant Theory written by Igor Dolgachev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-07 with Mathematics categories.
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.
Lectures On Dynamical Systems
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Author : Eduard Zehnder
language : en
Publisher: European Mathematical Society
Release Date : 2010
Lectures On Dynamical Systems written by Eduard Zehnder and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Dynamics categories.
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.
Lectures On The Ricci Flow
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Author : Peter Topping
language : en
Publisher: Cambridge University Press
Release Date : 2006-10-12
Lectures On The Ricci Flow written by Peter Topping and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-12 with Mathematics categories.
An introduction to Ricci flow suitable for graduate students and research mathematicians.
Topics In Dynamics And Ergodic Theory
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Author : Sergey Bezuglyi
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-08
Topics In Dynamics And Ergodic Theory written by Sergey Bezuglyi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-08 with Mathematics categories.
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.
Computer Algebra And Differential Equations
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Author : E. Tournier
language : en
Publisher: Cambridge University Press
Release Date : 1994-03-03
Computer Algebra And Differential Equations written by E. Tournier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-03 with Mathematics categories.
Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.
Harmonic Approximation
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Author : Stephen J. Gardiner
language : en
Publisher: Cambridge University Press
Release Date : 1995-05-18
Harmonic Approximation written by Stephen J. Gardiner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-18 with Mathematics categories.
The first book to provide a systematic account of recent developments and applications in harmonic approximation, progresses from classical results concerning uniform approximation on compact sets through fusion techniques to deal with approximation on unbounded sets.
Geometric Galois Actions Volume 2 The Inverse Galois Problem Moduli Spaces And Mapping Class Groups
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Author : Leila Schneps
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-07
Geometric Galois Actions Volume 2 The Inverse Galois Problem Moduli Spaces And Mapping Class Groups written by Leila Schneps and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-07 with Mathematics categories.
This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology.
Stable Groups
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Author : Frank Olaf Wagner
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-21
Stable Groups written by Frank Olaf Wagner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-21 with Mathematics categories.
In this book the general theory of stable groups is developed from the beginning.
Prolegomena To A Middlebrow Arithmetic Of Curves Of Genus 2
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Author : J. W. S. Cassels
language : en
Publisher: Cambridge University Press
Release Date : 1996-04-18
Prolegomena To A Middlebrow Arithmetic Of Curves Of Genus 2 written by J. W. S. Cassels and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-18 with Mathematics categories.
A unique insight into the topic of curves of genus 2, by two of the world's leading practitioners.