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4 edition of Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996 found in the catalog.

Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996

by International Colloquium on Lie Groups and Ergodic Theory (1996 Bombay, India)

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  • 35 Currently reading

Published by Published for the Tata Institute of Fundamental Research [by] Narosa Pub. House, International distribution by American Mathematical Society in New Delhi .
Written in English

    Subjects:
  • Lie groups -- Congresses.,
  • Ergodic theory -- Congresses.

  • Edition Notes

    Includes bibliographical references.

    Other titlesLie groups and ergodic theory
    Statementedited by S.G. Dani.
    GenreCongresses.
    SeriesStudies in mathematics / Tata Institute of Fundamental Research ;, 14, Studies in mathematics (Tata Institute of Fundamental Research) ;, 14.
    ContributionsDani, S. G., Tata Institute of Fundamental Research.
    Classifications
    LC ClassificationsQA387 .I58 1996
    The Physical Object
    Pagination386 p. ;
    Number of Pages386
    ID Numbers
    Open LibraryOL161406M
    ISBN 108173192359
    LC Control Number99937337

    This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered in this volume include: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps. In this chapter we consider some basic topics of ergodic theory. This includes the notion of an invariant measure, Poincaré’s recurrence theorem and Birkhoff’s ergodic theorem. We also consider briefly the notion of metric entropy of an invariant probability measure.

    Margulis G.A. Arithmeticity of irreducible lattices in semisimple groups of rank greater than 1 (in Russian). Appendix to the Russian translation of: Raghunathan M.S. Discrete subgroups of Lie groups. Mir, Moscow, (English translation: 76, (), 93–). Google Scholar. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In response to a question raised by Halmos in his book on ergodic theory ([10], page 29) it was proved that a locally compact group admits a (bicontinuous) group automorphism acting ergodically (with respect to the Haar measure as a quasiinvariant measure) only if it is compact (see [9] for historical details and a.

    Ergodic theoretic proof of equidistribution of Hecke points (with Eskin), Erg. Theory and. Dyn. Sys., Vol 26 (), pp. On uniform exponential growth for linear groups (with Eskin and Mozes), Inventiones Mathematcae, Vol (), pp. The Ruziewicz problem and distributing points on homogeneous spaces of a compact Lie. Ergodic Theory, American Mathematical Society, Contemporary Mathematics, vol , , Ed. I. Assani Ergodic Theory and Dynamical Systems, Proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, , Ed. by Assani, Idris, Series: De Gruyter Proceedings in Mathematics, December ISBN


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Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai, 1996 by International Colloquium on Lie Groups and Ergodic Theory (1996 Bombay, India) Download PDF EPUB FB2

Buy Lie Groups and Ergodic Theory: Proceedings of the International Colloquium, Mumbai (TATA INSTITUTE OF FUNDAMENTAL RESEARCH, BOMBAY// STUDIES IN MATHEMATICS) on FREE SHIPPING on qualified ordersFormat: Hardcover.

A Canonical Arithmetic Quotient for Simple Lie Group Actions (with Alexander Lubotzky), Proceedings of the International Colloquium on Lie Groups and Ergodic Theory: Mumbai, () F. Arithmetic Structure of Fundamental Groups and Actions of Semisimple Lie Groups (with Alexander Lubotzky), Topology ().

This volume presents the proceedings from an international colloquium on Lie groups and ergodic theory held at the Tata Institute of Fundamental Research (TIFR) in Mumbai, India.

Designated a Golden Jubilee event at the Institute, this was one of the quadrennial colloquia of. BibTeX @INPROCEEDINGS{Shah96invariantmeasures, author = {Nimish A. Shah}, title = {Invariant measures and orbit closures on homogeneous spaces for actions of subgroups generated by unipotent elements}, booktitle = {Proceedings of the International Colloquium on Lie Groups and Ergodic Theory Mumbai}, year = {}, publisher = {Dani}}.

Cocycle superrigidity for ergodic actions of non-semisimple Lie groups, ined.: Proceedings of the International Colloquium on Lie Groups and Ergodic Theory (Mumbai ).

Narosa Publishing House, New Delhi,pp. – Lie groups are smooth differentiable manifolds and as such can be studied using differential calculus, in contrast with the case of more general topological of the key ideas in the theory of Lie groups is to replace the global object, the group, with its local or linearized version, which Lie himself called its "infinitesimal group" and which has since become known as its Lie algebra.

Ratner M. () Interactions Between Ergodic Theory, Lie Groups, and Number Theory. In: Chatterji S.D. (eds) Proceedings of the International Congress of Mathematicians.

Birkhäuser, Basel. On cohomologies of ergodic actions of a T-group on homogeneous spaces of a compact Lie group. Operators in Functional Spaces and Questions of Function Theory.

Collected Science Works, Kiev,pp. 77 – 83 (in Russian). LIE GROUPS AND ERGODIC THEORY Proceedings of International Colloquium, COHOMOLOGY OF ARITHMETIC GROUPS, L-FUNCTIONS AND AUTOMORPHIC FORMS Proceedings of International Conference, The Mathematical Sciences Research Institute sponsored a three day conference, Mayto honor Professor George W.

Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have. The Mathematical Sciences Research Institute sponsored a three day conference, Mayto honor Professor George W.

Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work.

Lie Groups and Ergodic Theory: Editor(s): S. Dani: ISBN: E-ISBN: Publication Year: Pages: Binding: Hard Back Dimension: mm x mm Weight: About the book.

This volume is a collection of papers related to lectures delivered in an international colloquium held at the Tata Institute of Fundamental Research. The study of group actions on manifolds is the meeting ground of a variety of mathematical areas. In particular, interesting geometric insights can be obtained by applying measure-theoretic techniques.

This book provides an introduction to some of the important methods, major developments, and open problems in the subject. Popov, “Generically multiple transitive algebraic group actions”, Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces (Mumbai, ), Tata Institute of Fundamental Research, 19, Narosa Publishing House, Internat.

distrib. by American Mathematical Society, New Delhi,– Lie groups and ergodic theory (Mumbai, ),Tata Inst. Fund. Res. Stud. Math., 14, Tata Inst. Fund. Res., Bombay, The purpose of this paper is to exhibit most of the main ideas of the ``Quasi-flats '' paper above in the familiar special case of a product of hyperbolic planes.

Ergodic Theory Mathleads into a big open question. The Lebesgue measure is invariant under Tm. There are “many” measures invariant under Tk (the Lebesgue is the “nicest” one) for any particular k. Conjecture If is a probability measure invariant under T2 and T3 then it is.

(4) If G is a Lie group show that the identity component Go is open, closedandnormalinG. 5) Let G = 0 @ 1 x y 0 1 z 0 0 1 1 A be a group under matrix multiplication.

G is called the Heisenberg group. Show that G is a Lie group. If we regard x;y;z as coordi-natesinR3,thismakesR3 intoaLiegroup. Computeexplicitlythe. Ergodic Theory and Related Topics III Proceedings of the International Conference held in Güstrow, Germany, October 22–27, ERGODIC THEORY OF GROUP ACTIONS 3 U(H).

If His separable then U(H) endowed with either one of these topologies is a Polish group. The map Aut(X;) 3T 7!U T 2U(L2X) has close image and it is an isomor-phism of topological groups, from Aut(X;) onto its image in U(L2X).

Proof. If u i;u2U(H) are unitary elements such that lim iku i˘ u˘k= 0;8. 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 course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, ).

Much of the course material is based on Chapter I (first half) and Chapter II of the text.A Canonical Arithmetic Quotient for Simple Lie Group Actions (with Alexander Lubotzky), Proceedings of the International Colloquium on Lie Groups and Ergodic Theory: Mumbai, () F.

Arithmetic Structure of Fundamental Groups and Actions of Semisimple Lie Groups (with Alexander Lubotzky), Topology () G. Entropy and Arithmetic.On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions.

Riemann Surfaces and Related Topics: Proceeding of the Stony Brook Conference (Annals of Mathematics Studies, 97). Princeton University Press, Princeton, NJ,pp.