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Positive Transfer Operators And Decay Of Correlations
  • Language: en
  • Pages: 326

Positive Transfer Operators And Decay Of Correlations

Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system “mixes”, i.e. “forgets” its initial conditions.This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained.The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum.

Handbook of Dynamical Systems
  • Language: en
  • Pages: 1235

Handbook of Dynamical Systems

  • Type: Book
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  • Published: 2005-12-17
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  • Publisher: Elsevier

This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey "Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations).. Written by experts in the field.. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.

European Congress of Mathematics
  • Language: en
  • Pages: 611

European Congress of Mathematics

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

This is the first volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: R. Ahlswede, V. Bach, V. Baladi, J. Bruna, N. Burq, X. Cabré, P.J. Cameron, Z. Chatzidakis, C. Ciliberto, G. Dal Maso, J. Denef, R. Dijkgraaf, B. Fantechi, H. Föllmer, A.B. Goncharov, A. Grigor'yan, M. Harris, R. Iturriaga, K. Johansson, K. Khanin, P. Koskela, H.W. Lenstra, Jr., F. Loeser, Y.I. Manin, N.S. Manton, Y. Meyer, I. Moerdijk, E.M. Opdam, T. Peternell, B.M.A.G. Piette, A. Reznikov, H. Schlichtkrull, B. Schmidt, K. Schmidt, C. Simó, B. Tóth, E. van den Ban, M.-F. Vignéras, O. Viro.

Official Register of the United States
  • Language: en
  • Pages: 648

Official Register of the United States

  • Type: Book
  • -
  • Published: 1879
  • -
  • Publisher: Unknown

None

Kappler's Indian Affairs
  • Language: en
  • Pages: 1116

Kappler's Indian Affairs

  • Type: Book
  • -
  • Published: 1979
  • -
  • Publisher: Unknown

None

Official Register of the United States
  • Language: en
  • Pages: 1196

Official Register of the United States

  • Type: Book
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  • Published: 1892
  • -
  • Publisher: Unknown

None

New Dictionary Armenian-English
  • Language: en
  • Pages: 818

New Dictionary Armenian-English

Reprint of the original, first published in 1875.

Cumulated Index Medicus
  • Language: en
  • Pages: 1556

Cumulated Index Medicus

  • Type: Book
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  • Published: 1995
  • -
  • Publisher: Unknown

None

Index Medicus
  • Language: en
  • Pages: 1810

Index Medicus

  • Type: Book
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  • Published: 2004
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  • Publisher: Unknown

Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.