Geometry Of Random Motion

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Geometry of Random Motion

Author : Richard Durrett
Publisher : American Mathematical Soc.
ISBN 13 : 0821850814
Total Pages : 352 pages
Book Rating : 4.8/5 (218 download)

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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.

The Geometry of Random Fields

Author : Robert J. Adler
Publisher : SIAM
ISBN 13 : 0898716934
Total Pages : 295 pages
Book Rating : 4.8/5 (987 download)

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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.

Stochastic and Integral Geometry

Author : Rolf Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 354078859X
Total Pages : 692 pages
Book Rating : 4.5/5 (47 download)

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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.

Topics in Modern Differential Geometry

Author : Stefan Haesen
Publisher : Springer
ISBN 13 : 9462392404
Total Pages : 284 pages
Book Rating : 4.4/5 (623 download)

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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 284 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.

Galileo Unbound

Author : David D. Nolte
Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Galileo Unbound by : David D. Nolte

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.

Handbook of Microalgal Culture

Author : Amos Richmond
Publisher : John Wiley & Sons
ISBN 13 : 1118567196
Total Pages : 1148 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Handbook of Microalgal Culture by : Amos Richmond

Download or read book Handbook of Microalgal Culture written by Amos Richmond and published by John Wiley & Sons. This book was released on 2013-04-03 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algae are some of the fastest growing organisms in the world, with up to 90% of their weight made up from carbohydrate, protein and oil. As well as these macromolecules, microalgae are also rich in other high-value compounds, such as vitamins, pigments, and biologically active compounds, All these compounds can be extracted for use by the cosmetics, pharmaceutical, nutraceutical, and food industries, and the algae itself can be used for feeding of livestock, in particular fish, where on-going research is dedicated to increasing the percentage of fish and shellfish feed not derived from fish meal. Microalgae are also applied to wastewater bioremediation and carbon capture from industrial flue gases, and can be used as organic fertilizer. So far, only a few species of microalgae, including cyanobacteria, are under mass cultivation. The potential for expansion is enormous, considering the existing hundreds of thousands of species and subspecies, in which a large gene-pool offers a significant potential for many new producers. Completely revised, updated and expanded, and with the inclusion of new Editor, Qiang Hu of Arizona State University, the second edition of this extremely important book contains 37 chapters. Nineteen of these chapters are written by new authors, introducing many advanced and emerging technologies and applications such as novel photobioreactors, mass cultivation of oil-bearing microalgae for biofuels, exploration of naturally occurring and genetically engineered microalgae as cell factories for high-value chemicals, and techno-economic analysis of microalgal mass culture. This excellent new edition also contains details of the biology and large-scale culture of several economically important and newly-exploited microalgae, including Botryococcus, Chlamydomonas, Nannochloropsis, Nostoc, Chlorella, Spirulina, Haematococcus, and Dunaniella species/strains. Edited by Amos Richmond and Qiang Hu, each with a huge wealth of experience in microalgae, its culture, and biotechnology, and drawing together contributions from experts around the globe, this thorough and comprehensive new edition is an essential purchase for all those involved with microalgae, their culture, processing and use. Biotechnologists, bioengineers, phycologists, pharmaceutical, biofuel and fish-feed industry personnel and biological scientists and students will all find a vast amount of cutting-edge information within this Second Edition. Libraries in all universities where biological sciences, biotechnology and aquaculture are studied and taught should all have copies of this landmark new edition on their shelves.

Mysterious Motions and Other Intriguing Phenomena in Physics

Author : G. Ranganath
Publisher : Universities Press
ISBN 13 : 9788173714016
Total Pages : 166 pages
Book Rating : 4.7/5 (14 download)

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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.

Analysis and Geometry on Graphs and Manifolds

Author : Matthias Keller
Publisher : Cambridge University Press
ISBN 13 : 1108587380
Total Pages : 493 pages
Book Rating : 4.1/5 (85 download)

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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.

Recent Developments in Geometry

Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821851071
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Geometry by : Robert Everist Greene

Download or read book Recent Developments in Geometry written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1989 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outgrowth of a Special Session on Geometry, held at the November 1987 meeting of the AMS at the University of California at Los Angeles. The unusually well-attended session attracted more than sixty participants and featured over forty addresses by some of the day's outstanding geometers. By common consent, it was decided that the papers to be collected in the present volume should be surveys of relatively broad areas of geometry, rather than detailed presentations of new research results. A comprehensive survey of the field is beyond the scope of a volume such as this. Nonetheless, the editors have sought to provide all geometers, whatever their specialties, with some insight into recent developments in a variety of topics in this active area of research.

Geometric and Topological Invariants of Elliptic Operators

Author : Jerome Kaminker
Publisher : American Mathematical Soc.
ISBN 13 : 0821851128
Total Pages : 312 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric and Topological Invariants of Elliptic Operators by : Jerome Kaminker

Download or read book Geometric and Topological Invariants of Elliptic Operators written by Jerome Kaminker and published by American Mathematical Soc.. This book was released on 1990 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-IMS-SIAM Summer Research Conference on ``Geometric and Topological Invariants of Elliptic Operators,'' held in August 1988 at Bowdoin College. Some of the themes covered at the conference and appearing in the articles are: the use of more sophisticated asymptotic methods to obtain index theorems, the study of the $\eta$ invariant and analytic torsion, and index theory on open manifolds and foliated manifolds. The current state of noncommutative differential geometry, as well as operator algebraic and $K$-theoretic methods, are also presented in several the articles. This book will be useful to researchers in index theory, operator algebras, foliations, and mathematical physics. Topologists and geometers are also likely to find useful the view the book provides of recent work in this area. In addition, because of the expository nature of several of the articles, it will be useful to graduate students interested in working in these areas.

Classical Groups and Related Topics

Author : Alexander Hahn
Publisher : American Mathematical Soc.
ISBN 13 : 082185089X
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classical Groups and Related Topics by : Alexander Hahn

Download or read book Classical Groups and Related Topics written by Alexander Hahn and published by American Mathematical Soc.. This book was released on 1989 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.

Elements of Classical and Geometric Optimization

Author : Debasish Roy
Publisher : CRC Press
ISBN 13 : 1000914445
Total Pages : 525 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Elements of Classical and Geometric Optimization by : Debasish Roy

Download or read book Elements of Classical and Geometric Optimization written by Debasish Roy and published by CRC Press. This book was released on 2024-01-25 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook covers both classical and geometric aspects of optimization using methods, deterministic and stochastic, in a single volume and in a language accessible to non-mathematicians. It will help serve as an ideal study material for senior undergraduate and graduate students in the fields of civil, mechanical, aerospace, electrical, electronics, and communication engineering. The book includes: Derivative-based Methods of Optimization. Direct Search Methods of Optimization. Basics of Riemannian Differential Geometry. Geometric Methods of Optimization using Riemannian Langevin Dynamics. Stochastic Analysis on Manifolds and Geometric Optimization Methods. This textbook comprehensively treats both classical and geometric optimization methods, including deterministic and stochastic (Monte Carlo) schemes. It offers an extensive coverage of important topics including derivative-based methods, penalty function methods, method of gradient projection, evolutionary methods, geometric search using Riemannian Langevin dynamics and stochastic dynamics on manifolds. The textbook is accompanied by online resources including MATLAB codes which are uploaded on our website. The textbook is primarily written for senior undergraduate and graduate students in all applied science and engineering disciplines and can be used as a main or supplementary text for courses on classical and geometric optimization.

Spectral Graph Theory

Author : Fan R. K. Chung
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889367
Total Pages : 228 pages
Book Rating : 4.8/5 (893 download)

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Book Synopsis Spectral Graph Theory by : Fan R. K. Chung

Download or read book Spectral Graph Theory written by Fan R. K. Chung and published by American Mathematical Soc.. This book was released on with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beautifully written and elegantly presented, this book is based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University. Chung's well-written exposition can be likened to a conversation with a good teacher - one who not only gives you the facts, but tells you what is really going on, why it is worth doing, and how it is related to familiar ideas in other areas. The monograph is accessible to the nonexpert who is interested in reading about this evolving area of mathematics.

Canadian Journal of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4./5 ( download)

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Book Synopsis Canadian Journal of Mathematics by :

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1991-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Stochastic Analysis and Related Topics

Author : Huaizhong Zhao
Publisher : World Scientific
ISBN 13 : 9814360910
Total Pages : 458 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Stochastic Analysis and Related Topics by : Huaizhong Zhao

Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

Lectures on Probability Theory and Statistics

Author : M. Emery
Publisher : Springer
ISBN 13 : 3540450297
Total Pages : 359 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lectures on Probability Theory and Statistics by : M. Emery

Download or read book Lectures on Probability Theory and Statistics written by M. Emery and published by Springer. This book was released on 2007-05-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. The reader is expected to have a graduate level in probability theory and statistics. This book is of interest to PhD students in probability and statistics or operators theory as well as for researchers in all these fields. The series of lecture notes from the Saint-Flour Probability Summer School can be considered as an encyclopedia of probability theory and related fields.

Graphs and Discrete Dirichlet Spaces

Author : Matthias Keller
Publisher : Springer Nature
ISBN 13 : 3030814599
Total Pages : 675 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Graphs and Discrete Dirichlet Spaces by : Matthias Keller

Download or read book Graphs and Discrete Dirichlet Spaces written by Matthias Keller and published by Springer Nature. This book was released on 2021-10-22 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects. In this book, all three themes are brought together coherently under the perspective of Dirichlet forms, providing a powerful and unified approach. The book gives a complete account of key topics of infinite graphs, such as essential self-adjointness, Markov uniqueness, spectral estimates, recurrence, and stochastic completeness. A major feature of the book is the use of intrinsic metrics to capture the geometry of graphs. As for manifolds, Dirichlet forms in the graph setting offer a structural understanding of the interaction between spectral theory, geometry and probability. For graphs, however, the presentation is much more accessible and inviting thanks to the discreteness of the underlying space, laying bare the main concepts while preserving the deep insights of the manifold case. Graphs and Discrete Dirichlet Spaces offers a comprehensive treatment of the spectral geometry of graphs, from the very basics to deep and thorough explorations of advanced topics. With modest prerequisites, the book can serve as a basis for a number of topics courses, starting at the undergraduate level.