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Saturday, May 2, 2020 | History

6 edition of The ergodic theory of lattice subgroups found in the catalog.

The ergodic theory of lattice subgroups

by Alexander Gorodnik

  • 76 Want to read
  • 13 Currently reading

Published by Princeton University Press in Princeton, N.J .
Written in English

    Subjects:
  • Ergodic theory,
  • Lie groups,
  • Lattice theory,
  • Harmonic analysis,
  • Dynamics

  • Edition Notes

    Includes bibliographical references and index.

    StatementAlexander Gorodnik and Amos Nevo.
    SeriesAnnals of mathematics studies -- no. 172
    ContributionsNevo, Amos, 1966-
    Classifications
    LC ClassificationsQA313 .G67 2010
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL23020924M
    ISBN 109780691141848, 9780691141855
    LC Control Number2009003729

    Ergodic theory has its roots in Maxwell’s and Boltzmann’s kinetic theory of gases and was born as a mathematical theory around by the groundbreaking works of von Neumann and Birkhoff. In the s, Furstenberg showed how to translate questions in combinatorial number theory into ergodic theory. This inspired a newFile Size: 6MB. L. Alaoglu and G. Birkhoff [] General ergodic theorems, Ann. Math. (2) 41 (), – Google Scholar [] Probability and Measure, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, New York-Chichester-Brisbane, Author: Tanja Eisner, Bálint Farkas, Markus Haase, Rainer Nagel.

    This book is based on a course given at the University of Chicago in As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices in semi- simple groups, and related work of the author on the actions of semisimple groups and Brand: R J Zimmer. This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December , , in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups.

    Chapter Ergodic Theory Part IV. Major Results Chapter Mostow Rigidity Theorem Chapter Margulis Superrigidity Theorem Chapter Normal Subgroups of Chapter Arithmetic Subgroups of Classical Groups Chapter Construction of a Coarse Fundamental Domain Chapter Ratner’s Theorems on Unipotent Flows. A. Gorodnik and A. Nevo, The ergodic theory of lattice subgroups, Annals of Mathematics Studies , Princeton University Press, The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope.


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The ergodic theory of lattice subgroups by Alexander Gorodnik Download PDF EPUB FB2

The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference by: Get this from a library.

The ergodic theory of lattice subgroups. [Alexander Gorodnik; Amos Nevo] -- The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope.

Traditional ergodic theorems focused on amenable groups, and relied on the. The Ergodic Theory of The ergodic theory of lattice subgroups book Subgroups (AM) (Annals of Mathematics Studies) - Kindle edition by Gorodnik, Alexander, Nevo, Amos. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading The Ergodic Theory of Lattice Subgroups (AM) (Annals of Mathematics Studies).4/5(1).

The Ergodic Theory of Lattice Subgroups (AM) The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal Released on: Septem Book Description: The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope.

Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle. The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope.

Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle.

The ergodic theory of lattice subgroups Alexander Gorodnik, Amos Nevo. The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope.

Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the. The Ergodic Theory of Lattice Subgroups (AM) chapter on variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals.

study cocycles. In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has finite invariant the special case of subgroups of R n, this amounts to the usual geometric notion of a lattice as a periodic subset of points, and both the algebraic structure of lattices and the geometry of the space of all.

As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G.

Margulis concerning rigidity, arithmeticity, and structure of lattices in semi­ simple groups, and related work of the author on the actions of semisimple groups and their lattice subgroups.

The Ergodic Theory of My Searches (0) My Cart Added To Cart Check Out. Menu. The Ergodic Theory of Lattice Subgroups (AM) Series:Annals of Mathematics Studies Chapter Six. Proof of ergodic theorems for lattice subgroups. Pages Get Access to Full Text. This book is based on a course given at the University of Chicago in As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G.

Margulis concerning rigidity, arithmeticity, and structure of lattices in semi­ simple groups, and related work of the author on the actions of semisimple groups and. This book provides a gentle introduction to the study of arithmetic subgroups of semisimple Lie groups.

This means that the goal is to understand the group SL(n,Z) and certain of its subgroups. Among the major results discussed in the later chapters are the Mostow Rigidity Theorem, the Margulis Superrigidity Theorem, Ratner's Theorems, and the classification of arithmetic subgroups of Cited by: Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career.

Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie. Alexander Gorodnik and Amos Nevo: “The Ergodic Theory of Lattice Subgroups” Article in Jahresbericht der Deutschen Mathematiker-Vereinigung (3) September with 11 ReadsAuthor: Manfred Einsiedler.

Ergodic Theory and Semisimple Groups | This book is based on a course given at the University of Chicago in As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G.

From inside the book. Foundations of Point Set Theory R. Fourier Transforms in the Complex Domain R. The purpose of the third edition is threefold: The Book of Involutions Alexander Merkurjev.

Lattice Theory Garrett Birkhoff Snippet view – We can notify you when this item is back in stock. Amazon Drive Cloud storage from Amazon. So HjH n Gz is compact. Remark. In Theorem 2, one can replace by any nonuniform lattice in SL(3, IR).

The proof goes in exactly the same way. Discrete Subgroups and Ergodic Theory 3. Proofs of L e m m a s In the proofs of Lemmaswe shall need some assertions about unipotent groups of Cited by: Representation theory, discrete lattice subgroups, effective ergodic theorems, and applications Geometric Analysis on Discrete Groups RIMS workshop, Kyoto Amos Nevo, Technion Based on joint work with Alex Gorodnik, and on joint work with Anish Ghosh and Alex Gorodnik Lattice subgroups and effective ergodic theorems.

Ergodic theorems for lattice subgroups, ik+N, ’ If the -action has a spectral gap then, the effective mean ergodic theorem holds: for every f 2Lp, 1 0.

Under this condition, the effective pointwise ergodic theorem holds: for every f 2Lp, p >1, for almost every x, Z t f(x) X. Gorodnik / Nevo, Ergodic Theory of Lattice Subgroups (AM),Buch, Bücher schnell und portofrei.The ergodic theory of smooth dynamical systems is treated.

Numerous examples are presented carefully along with the ideas underlying the most important results. Moreover, the book deals with the dynamical systems of statistical mechanics, and with various kinetic equations.A2.

Ergodic Theory 76 A3. Moore Ergodicity Theorem 76 A4. Algebraic Groups 77 A5. Cocycle Superrigidity Theorem 78 A6. Borel Density Theorem 79 A7.

Three theorems of is on lattice subgroups 79 A8. Fixed-point theorems 80 A9. Amenable groups 80 Cited by: