Flows on Homogeneous Spaces AM 53 Volume 53

2016-03-02

Vol . 38 , Gottschalk , W. , and Hedlund , G. , New York ( 1955 ) . Green , L. , Spectra of Nilflows , Bull . Amer . Math . Soc . , Vol . 67 ( 1961 ) , pp . 414-415 . Hedlund , G. A. , 1 ) Fuchsian Groups and Transitive Horocycles ...

Author: Louis Auslander

Publisher: Princeton University Press

ISBN: 9781400882021

Category: Mathematics

Page: 107

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The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.
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Geodesic and Horocyclic Trajectories

2010-11-12

In: Mathematisches Seminar, Hamburg, pp. 171–175 (1924) [4] Auslander, L., Green, L., Hahn, F.: Flows on Homogeneous Spaces. Annals of Mathematics Studies, vol. 53. Princeton University Press, Princeton (1963), pp.

Author: Françoise Dal’Bo

Publisher: Springer Science & Business Media

ISBN: 9780857290731

Category: Mathematics

Page: 176

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Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature −1, namely the geodesic and horocycle flows. Written primarily with the idea of highlighting, in a relatively elementary framework, the existence of gateways between some mathematical fields, and the advantages of using them, historical aspects of this field are not addressed and most of the references are reserved until the end of each chapter in the Comments section. Topics within the text cover geometry, and examples, of Fuchsian groups; topological dynamics of the geodesic flow; Schottky groups; the Lorentzian point of view and Trajectories and Diophantine approximations.
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Encyclopaedia of Mathematics

2013-12-01

-Il R ian metric sub te to a Conformal structure homoge- [15A63, 53A30, 53C10, 53C15; RIESZINEQUALITY FOR AN L ... Euclidean space, Frénet formulas; GaussBonnet theorem, Gaussian curvature, geodesic geometry; homogeneous space; ...

Author: Michiel Hazewinkel

Publisher: Springer Science & Business Media

ISBN: 9789400903654

Category: Mathematics

Page: 732

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This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
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Elements of Dynamical Systems

2022-11-11

Proceedings of symposia in pure mathematics (Vol. 69, pp. ... Homogeneous flows, moduli spaces and arithmetic. ... 53. Kleinbock, D., Shah, N., & Starkov, A. (2002). Dynamics of subgroup actions on homogeneous spaces of Lie groups and ...

Author: Anima Nagar

Publisher: Springer Nature

ISBN: 9789811679629

Category: Mathematics

Page: 190

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This book stems from lectures that were delivered at the three-week Advanced Instructional School on Ergodic Theory and Dynamical Systems held at the Indian Institute of Technology Delhi, from 4–23 December 2017, with the support of the National Centre for Mathematics, National Board for Higher Mathematics, Department of Atomic Energy, Government of India. The book discusses various aspects of dynamical systems. Each chapter of this book specializes in one aspect of dynamical systems and thus begins at an elementary level and goes on to cover fairly advanced material. The book helps researchers be familiar with and navigate through different parts of ergodic theory and dynamical systems.
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Group Actions in Ergodic Theory Geometry and Topology

2019-12-23

Soc. Transl., (2), vol. 39 (1962), pp. 37–56. 2. L. AUSLANDER, L. GREEN AND F. HAHN, Flows on homogeneous spaces, Annals of Mathematics Studies, no. 53, Princeton, 1963. 3. R. ELLís, Distal transformation groups, Pacific J. Math., vol.

Author: Robert J. Zimmer

Publisher: University of Chicago Press

ISBN: 9780226568270

Category: Mathematics

Page: 608

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Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. 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 theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.
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Proceedings of the International Congress of Mathematicians

2012-12-06

Are Ad-unipotent ergodic flows on homogeneous spaces of a general Lie group G Kakutani equivalent? ... The latter flows represent measure preserving actions of the field Qs (as an additive group) on (IVGs, vol.) ...

Author: S.D. Chatterji

Publisher: Birkhäuser

ISBN: 9783034890786

Category: Mathematics

Page: 1605

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Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)
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Dynamical Systems Stability Theory and Applications

2006-11-14

[2] Prolongations and stability in dynamical systems. Annales de l'Inst. Fourier, vol. 14 (1964), pp. 237–267. AUSLANDER, Louis; GREEN, L.; HAHN, F., [l] Flows on Homogeneous Spaces. Annals of Math. Studies, No. 53, Princeton, 1963.

Author: Nam P. Bhatia

Publisher: Springer

ISBN: 9783540349747

Category: Mathematics

Page: 416

View: 226

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Mathematics of Complexity and Dynamical Systems

2011-10-05

Benjamin Inc, New York Auslander L, Green L, Hahn F (1963) Flows on homogeneous spaces. Annals of Mathematics Studies, No 53. Princeton University Press, Princeton Baker A (1990) Transcendental number theory.

Author: Robert A. Meyers

Publisher: Springer Science & Business Media

ISBN: 9781461418054

Category: Mathematics

Page: 1885

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Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
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Literature 1978 Part 1

2013-11-11

Space Sci., Vol. 53, 21 - 37 (1978). The author investigates the one-dimensional self-similar flow behind a blast wave from a plane explosion in a medium whose density varies with distance as x" with the assumption that the flow is ...

Author: S. Böhme

Publisher: Springer Science & Business Media

ISBN: 9783662123133

Category: Science

Page: 836

View: 382

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