Bertrand Duplantier Livres

This eleventh volume in the Poincaré Seminar Series offers an interdisciplinary exploration of the concept of Time, addressing some of science's most profound questions. Featuring articles by Fields medalist C. Villani, renowned physicists T. Damour and C. Jarzynski, experimentalist C. Salomon, and philosopher H. Price, the volume delves into the mathematical, physical, experimental, and philosophical dimensions of Time. The articles, stemming from lectures aimed at a wide scientific audience, are highly pedagogical. Key topics include fundamental physical issues related to time, particularly the shifts in perspective introduced by Special and General Relativity; a precise mathematical examination of irreversibility and entropy as articulated in Boltzmann's and Vlasov's equations; an overview of “thermodynamics at the nanoscale,” crucial for biological physics; and a description of the cold atom space clock PHARAO, set to be installed on the International Space Station in 2015. This clock will test Einstein's gravitational shift with unprecedented precision and investigate the stability of fundamental constants, a concept first proposed by Dirac in 1937. Additionally, the volume features a philosophical discussion on ‘Time's arrow,’ a term introduced by Eddington in 1928, complemented by a poetic reflection by C. de Mitry. This book is of broad interest to physicists, mathematicians, and philosophers alike.

The book contains articles from leading experts in different areas of biological physics. Topics ranging from cell dynamics to the evolution of multicellularity to conscious versus non-conscious evidence accumulation are reviewed and discussed, both from a theoretical and an experimental perspective. Furthermore, current developments of practical applications like magnetic tweezers for the study of DNA replication and brain imaging are presented.

This tenth volume in the Poincaré Seminar Series describes recent developments at one of the most challenging frontiers in statistical physics - the deeply related fields of glassy dynamics, especially near the glass transition, and of the statics and dynamics of granular systems. These fields are marked by a vigorous interchange between experiment, theory, and numerical studies, all of which are well represented by the leading experts who have contributed articles to this volume. These articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a Galilean dialogue on the mean field and competing theories of the glass transition, a wide-ranging survey of colloidal glasses, and experimental as well as theoretical treatments of the relatively new field of dense granular flows. This book should be of broad general interest to both physicists and mathematicians.

This fifteenth volume of the Poincare Seminar Series, Dirac Matter, explores the resurgence of Dirac's equation as a low-energy effective theory for conducting electrons in various condensed matter systems, notably graphene and topological insulators. The book features five pedagogical articles aimed at a broad scientific audience, highlighting the significance of Dirac's work. Key contributions include Philip Kim's detailed examination of graphene, tracing its discovery by Nobel laureates Kostya Novoselov and Andre Geim and discussing the relativistic quantum Hall effect. Mark Goerbig and Gilles Montambaux provide a comprehensive review of various materials known as "Dirac matter," focusing on the merging transition of Dirac cones in energy spectra during experiments involving the stretching of the hexagonal lattice. Hélène Bouchiat, along with Sophie Guéron and Chuan Li, discusses how impurity scattering in graphene devices reveals insights into the Dirac nature of electrons through electrical transport measurements. The final two articles concentrate on topological insulators. Laurent Lévy reviews recent experimental advancements in mercury-telluride samples, demonstrating the presence of a two-dimensional massless Dirac metal on the surface of a three-dimensional topological insulator. David Carpentier concludes with a geometric analysis of Bloch wave functions, their topological classification, and insights into three-

This thirteenth volume of the Poincare Seminar Series, Henri Poincare, 1912-2012, is published on the occasion of the centennial of the death of Henri Poincare in 1912.

This twelfth volume in the Poincaré Seminar Series offers an interdisciplinary perspective on the concept of Chaos in both classical and quantum mechanics. It addresses significant scientific questions, from identifying classical chaotic dynamics in quantum systems to predicting the fate of our planetary system. The seven articles are pedagogical, originating from lectures aimed at a broad scientific audience. Notable contributions include É. Ghys's comprehensive description of the Lorenz attractor and the Lorenz butterfly effect, highlighting key mathematical issues in deterministic chaos. S. Fauve details the von Kármán Sodium experiment, which demonstrated the spontaneous generation of a magnetic field in turbulent flow, mirroring Earth's magnetic field. U. Smilansky presents a toy model that elucidates quantum chaos and its connection to random matrix theory. P. Bourgade and J. P. Keating explore the link between the Riemann ζ-function's zeros and the statistics of eigenvalues of random unitary matrices, potentially leading to a proof of the Riemann Hypothesis. H-J. Stöckmann discusses experimental validations of theoretical predictions in quantum chaos, while S. Nonnenmacher examines the eigenmodes of quantized chaotic systems. Lastly, J. Laskar reviews the stability and fate of our chaotic Solar system, including estimates of potential planetary collisions. This volume is of broad interest to physicists and mathematician

New insights due to the confrontation between Alain Connes' non commutative approach to the standard model and the discovery of the non commutative renormalization group Confirmation of noncommutative geometry as an increasingly useful tool for the description of intricated condensed matter phenomena Includes supplementary material: sn. pub/extras

This volume is devoted to Quantum Decoherence with lectures from the Séminaire Poincaré, held in November 2005 at the Institute Henri Poincaré Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental results are covered, with some historical background. Particular care is devoted to the pedagogical nature of the presentation.