Stochastic Space—Time Models and Limit Theorems

Stochastic Space—Time Models and Limit Theorems PDF

Author: L. Arnold

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 270

ISBN-13: 9400953909

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Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad 1n Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialisation and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches wich were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD" , "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Limit

Limit PDF

Author: Frank Schatzing

Publisher: Jo Fletcher Books

Published: 2013-11-05

Total Pages: 1643

ISBN-13: 1623650453

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Frank Schatzing's The Swarm was an international science-fiction blockbuster, winner of the Koln Literatur Prize, the Corine Prize, and the German Science Fiction Prize. Limit is his most ambitious work to-date--a multilayered thriller that balances astonishing scientific, historical, and technical detail. Against this backdrop, Schatzing convincingly realizes a possible near future when humankind's ingenuity may become the greatest risk to its continued existence. In 2025, entrepreneur Julian Orley opens the first-ever hotel on the moon. But Orley Enterprises deals in more than space tourism--it also operates the world's only space elevator, which in addition to allowing the very wealthy to play tennis on the lunar surface connects Earth with the moon and enables the transportation of helium-3, the fuel of the future, back to the planet. Julian has invited twenty-one of the world's richest and most powerful individuals to sample his brand-new lunar accommodation, hoping to secure the finances for a second elevator. On Earth, meanwhile, cybercop Owen Jericho is sent to Shanghai to find a young female hacker known as Yoyo, who's been on the run since acquiring access to information that someone seems quite determined to keep quiet. As Jericho closes in on the girl and the conspiracy swirling around her, he finds mounting evidence that connects her to Julian Orley as well as to the entrepreneur's many competitors and enemies. Soon, the detective realizes that the lunar junket to Orley's hotel is in real and immediate danger. From the Hardcover edition.

Lipa's Legacy

Lipa's Legacy PDF

Author: Józef Dodziuk

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 490

ISBN-13: 0821806718

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The mathematical works of Lars Ahlfors and Lipman Bers are fundamental and lasting. They have influenced and altered the development of twentieth century mathematics. The personalities of these two scientists helped create a mathematical family and have had a permanent positive effect on a whole generation of mathematicians. Their mathematical heritage continues to lead succeeding generations. In the fall of 1994, one year after Bers' death, some members of this family decided to inaugurate a series of conferences, "The Bers Colloquium", to be held every three years. The theme was to be a topic in the Ahlfors-Bers mathematical tradition, broadly interpreted. Ahlfors died a year after the first colloquium; future colloquia in this series will be called "The Ahlfors-Bers Colloquium". The first colloquium was held in October 1995 at the Graduate Center, CUNY in New York. It coincided roughly with the second anniversary of Ber's death. There were six lectures and much informal mathematical discussion. This volume contains papers by the speakers and many of the participants. The broad range of papers indicate how strong and far reaching Ber's influence has been. The topics represented in the book include Teichmuller theory, Kleinian groups, higher dimensional hyperbolic geometry, geometry of numbers, circle packings, theory of discrete groups, classical complex function theory, one dimensional dynamics, fluid dynamics, quasiconformal mappings in higher dimensions, partial differential equations, and classical algebraic geometry. partial

Differential Geometry and Relativity

Differential Geometry and Relativity PDF

Author: M. Cahen

Publisher: Springer Science & Business Media

Published: 1976-12-31

Total Pages: 324

ISBN-13: 9789027707451

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On the sixtieth birthday of Andre Lichnerowicz a number of his friends, students, and coworkers decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work: differential geometry and mathematical physics. It was impossible to reflect in a single book the great variety of subjects tackled by Lichnerowicz. We hope that this book reflects some of the present trends of fields in which he worked, and some of the subjects to which he contributed in his long - and not yet finished - career. This career was very much marked by the influence of his masters, Elie Cartan who introduced him to research in mathematics, mainly in geometry and its relations with mathematical physics, and Georges Darmois who developed his interest in mechanics and physics, especially the theory of relativity and electromagnetism. This combination, and his personal talent, made him a natural scientific heir and continuator of the French mathematical physics school in the tradition of Henri Poincare. Some of his works would even be best qualified by a new field name, that of physical mathematics: branches of pure mathematics entirely motivated by physics.

Making Musical Time

Making Musical Time PDF

Author: Guerino Mazzola

Publisher: Springer Nature

Published: 2021-11-15

Total Pages: 265

ISBN-13: 3030856291

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This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context. The mathematical methods applied for the construction of musical time are totally new. They relate to category theory (projective limits) and the mathematical theory of gestures. These methods and results extend the music theory of time but also apply to the applied performative understanding of making music. In addition, it is the very first approach to a constructive theory of time, deduced from the recent theory of musical gestures and their categories. Making Musical Time is intended for a wide audience of scholars with interest in music. These include mathematicians, music theorists, (ethno)musicologists, music psychologists / educators / therapists, music performers, philosophers of music, audiologists, and acousticians.

Astroparticle, Particle and Space Physics, Detectors and Medical Physics Applications

Astroparticle, Particle and Space Physics, Detectors and Medical Physics Applications PDF

Author: Michele Barone

Publisher: World Scientific

Published: 2006

Total Pages: 1162

ISBN-13: 9812567984

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The exploration of the subnuclear world is done through increasingly complex experiments covering a wide range of energies and in a large variety of environments ? from particle accelerators, underground detectors to satellites and space laboratories. For these research programs to succeed, novel techniques, new materials and new instrumentation need to be used in detectors, often on a large scale. Hence, particle physics is at the forefront of technological advancement and leads to numerous applications. Among these, medical applications have a particular importance due to the health and social benefits they bring. This volume reviews the advances made in all technological aspects of current experiments in the field.

Introduction to the AdS/CFT Correspondence

Introduction to the AdS/CFT Correspondence PDF

Author: Horaƫiu Năstase

Publisher: Cambridge University Press

Published: 2015-09-10

Total Pages: 457

ISBN-13: 1316352307

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Providing a pedagogical introduction to the rapidly developing field of AdS/CFT correspondence, this is one of the first texts to provide an accessible introduction to all the necessary concepts needed to engage with the methods, tools and applications of AdS/CFT. Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader through the basic concepts of field theory and gauge theory, general relativity, supersymmetry, supergravity, string theory and conformal field theory, before moving on to give a clear and rigorous account of AdS/CFT correspondence. The final section discusses the more specialised applications, including QCD, quark-gluon plasma and condensed matter. This book is self-contained and learner-focused, featuring numerous exercises and examples. It is essential reading for both students and researchers across the fields of particle, nuclear and condensed matter physics.

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