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 Séminaires et Congrès 2011; 185 pp; softcover Number: 19 ISBN-10: 2-85629-303-4 ISBN-13: 978-2-85629-303-4 List Price: US$60 Individual Members: US$54 Order Code: SECO/19 On June 7-9, 2004, a conference on Dynamical Systems and Diophantine Approximation was held at the Institut Henri Poincaré . One of the aims of this conference was to give a survey of research tools at the interface between these two domains. The editors' goal was also to highlight methods and open questions. The proceedings the editors are presenting in this volume reflect the spirit of this conference. The reader will find surveys and articles on the convergence or divergence points between dynamical systems and Diophantine approximation. All the papers are accessible to a wide audience. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in number theory. Table of Contents M. M. Dodson -- Diophantine approximation, Khintchine's theorem, torus geometry and Hausdorff dimension V. Beresnevich and S. Velani -- Ubiquity and a general logarithm law for geodesics F. Maucourant -- Arithmetical and geometrical aspects of homogeneous diophantine approximation by algebraic numbers in a given number field C. Druţu -- Transference principles and locally symmetric spaces N. A. Shah -- Unipotent flows on products of $$\mathrm{SL}(2,K)/\Gamma$$'s Y. Bugeaud -- Multiplicative Diophantine approximation M. Queffélec -- An introduction to Littlewood's conjecture A. Broise-Alamichel -- On the characteristic exponents of the Jacobi-Perron algorithm S. Troubetzkoy -- Approximation and billiards