Dynamics and randomness
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書誌事項
Dynamics and randomness
（Nonlinear phenomena and complex systems, v. 7,
Kluwer Academic Publishers, c2002-2004
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[1] ISBN 9781402005916
内容説明
This book contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile from December 11th to 15th, 2000. This meeting brought together mathematicians, theoretical physicists and theoretical computer scientists, and graduate students interested in fields re lated to probability theory, ergodic theory, symbolic and topological dynam ics. We would like to express our gratitude to all the participants of the con ference and to the people who contributed to its organization. In particular, to Pierre Collet, Bernard Host and Mike Keane for their scientific advise. VVe want to thank especially the authors of each chapter for their well prepared manuscripts and the stimulating conferences they gave at Santiago. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: ECOS-CONICYT, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship and Universidad de Chile. We are grateful to Ms. Gladys Cavallone for their excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book.
目次
- Dimension-Like Characteristics of Invariant Sets in Dynamical Systems
- V. Afraimovich, J. Urias. Positive K-Theory and Symbolic Dynamics
- M. Boyle. Combinatorial and Dynamical Study of Substitutions around the Theorem of Cobham
- F. Durand. Irreducibility, Homoclinic Points and Adjoint Actions of Algebraic Zd-Actions of Rank One
- M. Einsiedler, K. Schmidt. Old and New Tools in the Theory of Filtrations
- M. Emery. Information Compression and Retention in Dynamical Processes
- K. Petersen. Unique Equilibrium States
- R.R. Phelps. Poincare Inequalities and Spectral Gap, Concentration Phenomenon for g-Measures
- B. Schmitt.
- 巻冊次
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2 ISBN 9781402019906
内容説明
This book contains the lectures given at the II Canference an Dynamics and Randamness held at the Centro de Modelamiento Matematico of the Universidad de Chile, from December 9th to 13th, 2002. This meeting brought together mathematicians, theoretical physicists, theoretical computer scientists, and graduate students interested in fields related to probability theory, ergodic theory, symbolic and topological dynamics. We would like to express our gratitude to an the participants of the conference and to the people who contributed to its orga- nization. In particular, to Pierre Collet, BerIiard Rost and Karl Petersen for their scientific advise.
We want to thank warmly the authors of each chapter for their stimulating lectures and for their manuscripts devoted to a various of appealing subjects in probability and dynamics: to Jean Bertoin for his course on Some aspects of random fragmentation in con- tinuous time; to Anton Bovier for his course on Metastability and ageing in stochastic dynamics; to Steve Lalley for his course on AI- gebraic systems of generat ing functions and return probabilities for random walks; to Elon Lindenstrauss for his course on Recurrent measures and measure rigidity; to Sylvie Meleard for her course on Stochastic particle approximations for two-dimensional N avier- Stokes equations; and to Anatoly Vershik for his course on Random and universal metric spaces.
目次
Some Aspects of Random Fragmentations in Continuous Times.- Metastability and Ageing in Stochastic Dynamics.- Algebraic Systems of Generating Functions and Return Probabilities for Random Walks.- Recurrent Measures and Measure Rigidity.- Stochastic Particle Approximations for Two-Dimensional Navier-Stokes Equations.- Random and Universal Metric Spaces.
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