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Geometry Of Random Motion
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Book Synopsis Geometry of Random Motion by : Richard Durrett
Download or read book Geometry of Random Motion written by Richard Durrett and published by American Mathematical Soc.. This book was released on 1988 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 1987, an AMS-IMS-SIAM Joint Summer Research Conference on Geometry of Random Motion was held at Cornell University. The initial impetus for the meeting came from the desire to further explore the now-classical connection between diffusion processes and second-order (hypo)elliptic differential operators. To accomplish this goal, the conference brought together leading researchers with varied backgrounds and interests: probabilists who have proved results in geometry, geometers who have used probabilistic methods, and probabilists who have studied diffusion processes. Focusing on the interplay between probability and differential geometry, this volume examines diffusion processes on various geometric structures, such as Riemannian manifolds, Lie groups, and symmetric spaces. Some of the articles specifically address analysis on manifolds, while others center on (nongeometric) stochastic analysis. The majority of the articles deal simultaneously with probabilistic and geometric techniques. Requiring a knowledge of the modern theory of diffusion processes, this book will appeal to mathematicians, mathematical physicists, and other researchers interested in Brownian motion, diffusion processes, Laplace-Beltrami operators, and the geometric applications of these concepts. The book provides a detailed view of the leading edge of research in this rapidly moving field.
Book Synopsis Geometry of Random Motion by : Rick Durret
Download or read book Geometry of Random Motion written by Rick Durret and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Geometry of Random Fields by : Robert J. Adler
Download or read book The Geometry of Random Fields written by Robert J. Adler and published by SIAM. This book was released on 2010-01-28 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.
Book Synopsis Research Conference in the Mathematical Sciences on Geometry of Random Motion 1987, Ithaca, NY by :
Download or read book Research Conference in the Mathematical Sciences on Geometry of Random Motion 1987, Ithaca, NY written by and published by . This book was released on 1988 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Book Synopsis Stochastic and Integral Geometry by : Rolf Schneider
Download or read book Stochastic and Integral Geometry written by Rolf Schneider and published by Springer Science & Business Media. This book was released on 2008-09-08 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.
Book Synopsis Motion, Control, and Geometry by : National Research Council
Download or read book Motion, Control, and Geometry written by National Research Council and published by National Academies Press. This book was released on 1997-06-07 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the modem developments described in Motion, Control, and Geometry include the geometric control of robot motion and craft orientation, how high-power precision micromotors are engineered for less invasive surgery and self-focusing lens applications, what a mobile robot on a surface has in common with one moving in three dimensions, and how the motion-control problem is simplified by a coupled oscillator's geometric grouping of degrees of freedom and motion time scales. The four papers in these proceedings provide a view through the scientific portal of today's motion-control geometric research into tomorrow's technology. The mathematics needed to carry out this research is that of modem differential geometry, and the questions raised in the field of motion-control geometry go directly to the research frontier. Geometry is a mathematical area too often neglected nowadays in a student's education. This publication will help adjust the control initially imposed about 2,300 years ago on one kind of "motion"-that of students entering Plato's Academy, where the following caveat was inscribed above the doorway: "Let no one ignorant of geometry enter here." Readers of these chapters will gain an appreciation of modem geometry and how it continues to play a crucial role in the context of motion control in cutting-edge science and technology.
Download or read book Chaos written by Richard Kautz and published by Oxford University Press. This book was released on 2011 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: One CD-ROM disc in pocket.
Book Synopsis Topics in Modern Differential Geometry by : Stefan Haesen
Download or read book Topics in Modern Differential Geometry written by Stefan Haesen and published by Springer. This book was released on 2016-12-21 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their topics. The contributions are written on a graduate level and contain extended bibliographies. The ten chapters are the result of various doctoral courses which were held in 2009 and 2010 at universities in Leuven, Serbia, Romania and Spain.
Book Synopsis Random Walks and Geometry by : Vadim Kaimanovich
Download or read book Random Walks and Geometry written by Vadim Kaimanovich and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik.
Book Synopsis Selected Papers on Differential Equations and Analysis by :
Download or read book Selected Papers on Differential Equations and Analysis written by and published by American Mathematical Soc.. This book was released on 2005 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics, including differential equations with free boundary, singular integral operators, operator algebras, and relations between the Brownian motion on a manifold with function theory. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations."
Book Synopsis A Random Walk Through Fractal Dimensions by : Brian H. Kaye
Download or read book A Random Walk Through Fractal Dimensions written by Brian H. Kaye and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin
Book Synopsis Analysis and Geometry on Graphs and Manifolds by : Matthias Keller
Download or read book Analysis and Geometry on Graphs and Manifolds written by Matthias Keller and published by Cambridge University Press. This book was released on 2020-08-20 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.
Book Synopsis NMR Imaging in Chemical Engineering by : Siegfried Stapf
Download or read book NMR Imaging in Chemical Engineering written by Siegfried Stapf and published by John Wiley & Sons. This book was released on 2006-05-12 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to use nuclear magnetic resonance imaging in chemical engineering. Written by the internationally recognized top experts from academia and industry, this first book dedicated to the topic provides an overview of existing methods and strategies to solve individual problems in chemical engineering. Written in a simple and lively manner and backed by various industrial examples, the book begins with a look at hardware and methods, continuing on to cover porous materials, fluids and flow of increasing complexity from different fields of Chemical Engineering, before finishing off with a review of reactors and reactions. The result allows engineers, industrial and academic researchers and decision-makers to gain a detailed insight into the NMR toolbox, such that they can estimate the benefit of NMR imaging with regard to cost efficiency and scientific results.
Book Synopsis Quantization in Astrophysics, Brownian Motion, and Supersymmetry by : Florentin Smarandache
Download or read book Quantization in Astrophysics, Brownian Motion, and Supersymmetry written by Florentin Smarandache and published by Infinite Study. This book was released on 2007 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric and Probabilistic Structures in Dynamics by : Keith Burns
Download or read book Geometric and Probabilistic Structures in Dynamics written by Keith Burns and published by American Mathematical Soc.. This book was released on 2008 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents a collection of articles that cover areas of mathematics related to dynamical systems. The authors are well-known experts who use geometric and probabilistic methods to study interesting problems in the theory of dynamical systems and its applications. Some of the articles are surveys while others are original contributions. The topics covered include: Riemannian geometry, models in mathematical physics and mathematical biology, symbolic dynamics, random and stochastic dynamics. This book can be used by graduate students and researchers in dynamical systems and its applications."--BOOK JACKET.
Book Synopsis Mysterious Motions and Other Intriguing Phenomena in Physics by : G. Ranganath
Download or read book Mysterious Motions and Other Intriguing Phenomena in Physics written by G. Ranganath and published by Universities Press. This book was released on 2002 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book dwells upon intriguing examples and situations that are not generally analysed or discussed in standard textbook and formal couses in physics. In this book, a majority of the examples are from classical physics, which forms an essential part of our education. Each of the six chapters covers a major area of physics, and is subdivided into sections, each of which has a runing theme.
