Dynamics and Randomness

2002
ISBN: 978-1-4020-0591-6
Verlag: Springer Netherlands

Buch, Englisch, Band 7, 278 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1300 g

Reihe: Nonlinear Phenomena and Complex Systems

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.

Zielgruppe

Research

Autoren/Hrsg.

Maass, Alejandro

San Martín, Jaime

Martínez, Servet

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten

Inhaltsverzeichnis

Dimension-Like Characteristics of Invariant Sets in Dynamical Systems.- Positive K-Theory and Symbolic Dynamics.- Combinatorial and Dynamical Study of Substitutions around the Theorem of Cobham.- Irreducibility, Homoclinic Points and Adjoint Actions of Algebraic Zd-Actions of Rank One.- Old and New Tools in the Theory of Filtrations.- Information Compression and Retention in Dynamical Processes.- Unique Equilibrium States.- Poincaré Inequalities and Spectral Gap, Concentration Phenomenon for g-Measures.