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Noncommutative Geometry and Optimal Transport
  • Language: en
  • Pages: 234

Noncommutative Geometry and Optimal Transport

The distance formula in noncommutative geometry was introduced by Connes at the end of the 1980s. It is a generalization of Riemannian geodesic distance that makes sense in a noncommutative setting, and provides an original tool to study the geometry of the space of states on an algebra. It also has an intriguing echo in physics, for it yields a metric interpretation for the Higgs field. In the 1990s, Rieffel noticed that this distance is a noncommutative version of the Wasserstein distance of order 1 in the theory of optimal transport. More exactly, this is a noncommutative generalization of Kantorovich dual formula of the Wasserstein distance. Connes distance thus offers an unexpected conn...

Wavelets in Medicine and Biology
  • Language: en
  • Pages: 633

Wavelets in Medicine and Biology

  • Type: Book
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  • Published: 2017-11-22
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  • Publisher: Routledge

Considerable attention from the international scientific community is currently focused on the wide ranging applications of wavelets. For the first time, the field's leading experts have come together to produce a complete guide to wavelet transform applications in medicine and biology. Wavelets in Medicine and Biology provides accessible, detailed, and comprehensive guidelines for all those interested in learning about wavelets and their applications to biomedical problems.

Quantum Mathematical Physics
  • Language: en
  • Pages: 517

Quantum Mathematical Physics

  • Type: Book
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  • Published: 2016-02-24
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  • Publisher: Birkhäuser

Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference ``Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Time's Wallet
  • Language: en
  • Pages: 178

Time's Wallet

Literary Nonfiction. Memoir. Time's Wallet is a memoir written in discrete pieces, "memoirrhoids." The 54 short bits cover the variety and extent of a life from 1935 to the present, from Manhattan by various routes to Denver, Colorado. The work presents itself not as a narrative arc, but as memory itself occurs, in brief stories rising more or less at random in the mind. Each remembered narrative is allowed to resolve itself through its own form, and that variety creates a different overall texture. Each of the "stories" is transparent in itself, but they add up to a fertile opacity that is the ineluctable vitality of a life, and the impenetrable presence, the "here it is," of art.

Combinatorial Physics
  • Language: en
  • Pages: 420

Combinatorial Physics

The interplay between combinatorics and theoretical physics is a recent trend which appears to us as particularly natural, since the unfolding of new ideas in physics is often tied to the development of combinatorial methods, and, conversely, problems in combinatorics have been successfully tackled using methods inspired by theoretical physics. We can thus speak nowadays of an emerging domain of Combinatorial Physics. The interference between these two disciplines is moreover an interference of multiple facets. Its best known manifestation (both to combinatorialists and theoretical physicists) has so far been the one between combinatorics and statistical physics, as statistical physics relies on an accurate counting of the various states or configurations of a physical system. But combinatorics and theoretical physics interact in various other ways. This book is mainly dedicated to the interactions of combinatorics (algebraic, enumerative, analytic) with (commutative and non-commutative) quantum field theory and tensor models, the latter being seen as a quantum field theoretical generalisation of matrix models.

Modern Theory of Dynamical Systems
  • Language: en
  • Pages: 334

Modern Theory of Dynamical Systems

This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.

Blood Red Rivers
  • Language: en
  • Pages: 336

Blood Red Rivers

  • Type: Book
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  • Published: 2003-06-05
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  • Publisher: Vintage

In a world of knife-edge glaciers, a hideous crime leads two maverick detectives to confront the limits of human evil. A corpse is discovered wedged in an isolated crevice. It has been horribly mutilated. The brilliant but violent ex-commando Pierre Niémans is sent from Paris to the French Alps to lead the investigation. Meanwhile, in a town in south-west France, Karim Abdouf, a young Arab policeman, is trying to find out why the tomb of a young child has been desecrated. When a second baby is found, high up in a glacier, the paths of the two policemen are joined in the search for their killers, a trail that embroils them in the mysterious cult of the Blood-Red Rivers.

Mathematical Reviews
  • Language: en
  • Pages: 788

Mathematical Reviews

  • Type: Book
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  • Published: 1997
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  • Publisher: Unknown

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Foundations of Mathematics
  • Language: en
  • Pages: 346

Foundations of Mathematics

This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters. This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.

Groups, Rings, Group Rings, and Hopf Algebras
  • Language: en
  • Pages: 294

Groups, Rings, Group Rings, and Hopf Algebras

This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2–4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3–4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday. Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.