Information and randomnes

This book presents a sample of exciting topics under development at the
forefront of probability theory and ergodic theory. It benefit from the
authors's research and teaching experience, and should help to make the
detailed mathematical techniques of the subject accessible to a much wider
audience (master or Ph.D. students). It is relevant for researchers and
students in probability, analysis, dynamical systems and information
sciences.


The first chapter presents recent progress on the fundamental isomorphism
problem between noninvertible measure preserving maps. This new theory is
applied to four natural classes of measure preserving maps, including
rational maps of the Riemann sphere.


The second chapter is devoted to presenting the main ingredients of the
theory that is allowing researchers to tackle long standing questions about
the mean convergence of multiple ergodic averages, that is, averages of a
product of functions taken at different times. The results presented here
represent a major advance in ergodic theory over the last five years.


The final chapter deals with scenery reconstruction, a subject which has
been an extremely hot topic in recent years in probabilty theory. This
chapter provides an introduction to scenery reconstruction and gives an
overview of the large variety of techniques that have been employed to solve
this problem in different settings.

Product details

• Authors: Alejandro Maass, CENTRE INTERNATIONAL, Centre international de mathématiques pures et appliquées, Collectif, Jaime San Martin, Servet Martínez
• Publisher: Hermann
• Languages: French
• Product format: Paperback / Softback
• Released: 21.11.2006
• EAN: 9782705666705
• ISBN: 978-2-7056-6670-5
• Dimensions: 170 mm x 240 mm x 10 mm
• Weight: 2640 g
• Series: Travaux en cours, n° 58; Travaux en cours, n° 81; Travaux en cours, n° 66; Travaux en cours, n° 46; Travaux en cours, n° 77; Travaux en cours, n° 81; Travaux en cours; Travaux en cours, n° 19
• Subject: Non-fiction book > Nature, technology