Download or read book RANDOM FIELDS AND INTERACTING PARTICLE SYSTEMS FRANK SPITZER NOTES ON LECTURES GIVEN AT THE 1971 MAA SUMMER SEM WILLIAMS COLLEGE WILLIAMSTOWN MASS written by Frank Spitzer and published by . This book was released on 1971 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Fields and Interacting Particle Systems written by Frank Spitzer (Mathematician, Austria, United States) and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Random Cluster Model written by Geoffrey R. Grimmett and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.
Download or read book Random Walks Brownian Motion and Interacting Particle Systems written by H. Kesten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.
Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.
Download or read book Continuous Martingales and Brownian Motion written by Daniel Revuz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion....This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises." –BULLETIN OF THE L.M.S.
Download or read book Making Mathematics Come to Life written by Oleg A. Ivanov and published by American Mathematical Soc.. This book was released on 2009-12-16 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``It is difficult to define the genre of the book. It is not a problem book, nor a textbook, nor a `book for reading about mathematics'. It is most of all reminiscent of a good lecture course, from which a thoughtful student comes away with more than was actually spoken about in the lectures.'' --from the Preface by A. S. Merkurjev If you are acquainted with mathematics at least to the extent of a standard high school curriculum and like it enough to want to learn more, and if, in addition, you are prepared to do some serious work, then you should start studying this book. An understanding of the material of the book requires neither a developed ability to reason abstractly nor skill in using the refined techniques of mathematical analysis. In each chapter elementary problems are considered, accompanied by theoretical material directly related to them. There are over 300 problems in the book, most of which are intended to be solved by the reader. In those places in the book where it is natural to introduce concepts outside the high school syllabus, the corresponding definitions are given with examples. And in order to bring out the meaning of such concepts clearly, appropriate (but not too many) theorems are proved concerning them. Unfortunately, what is sometimes studied at school under the name ``mathematics'' resembles real mathematics not any closer than a plucked flower gathering dust in a herbarium or pressed between the pages of a book resembles that same flower in the meadow besprinkled with dewdrops sparkling in the light of the rising sun.
Download or read book The Cosmos written by Jay M. Pasachoff and published by Cambridge University Press. This book was released on 2014 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting introduction to astronomy, using recent discoveries and stunning photography to inspire non-science majors about the Universe and science.
Download or read book Theorizing Images written by Žarko Paić and published by Cambridge Scholars Publishing. This book was released on 2016-04-26 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uncovers an underlying dispute over the role images play in contemporary society and, consequently, over their values and purposes. Two decades after the concepts of the pictorial and the iconic turn changed our vernacular involvement with regard to images, it has become clear that it was not only a newly discovered social, political or sexual construction of the visual field that brought turbulence into disciplinary knowledge, but that images have their own “pictorial logic” with powers exceeding those that are purely iconic or visually discernible. Instead of underscoring previously defined concepts of the picture, the contributors to this book view visual studies and Bildwissenschaft “merely” as a place for the theory of images, making a case for the hotly-debated topic of their powers and weaknesses on the one hand, and of their respective theories on the other. Therefore, as the title indicates, this book theorizes images, but it does not present a theory of images, because visual studies cannot lead to a unified theory of images unless a unified ontology of images can be agreed upon first. Although that would be a different task altogether, all the contributions in this book (in different ways and at different paces), by theorizing images in their aesthetic, historical, media and technological guises, pave the way for the future of visual culture and for the image science that will make this future more comprehensible.
Download or read book Mathematics under the Microscope written by Alexandre Borovik and published by American Mathematical Soc.. This book was released on 2010 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses, from a working mathematician's point of view, the mystery of mathematical intuition: Why are certain mathematical concepts more intuitive than others? And to what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain?
Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.
Download or read book English Competence Handbook written by Paul Kalkstein and published by iUniverse. This book was released on 2000-12 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The English Competence Handbook provides a simple, clear, and thoroughly proven method of building non-fiction writing ability and increasing a writer's confidence. Cited as a tool for literacy by Time/I> magazine in its cover story "Why Johnny Can't Write," The English Competence Handbook provides teacher and student with a graduated, easy-to-use program to develop writing and reading skills. The program moves from the sentence, to the paragraph, to the whole essay, and brings the writer beyond competence to a sense of grace and style in composition. The English Competence Handbook has been used successfully in secondary schools and colleges throughout the country. The authors of the English Competence Handbook are long-time English teachers at Phillips Academy in Andover, Massachusetts, America's oldest incorporated boarding school. Each of them has consulted with various school systems across the nation.
Download or read book Kvant Selecta Combinatorics I written by Serge Tabachnikov and published by American Mathematical Soc.. This book was released on 2001 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of articles translated from Russian editions of the journal "Kvant"--T.p. verso.
Download or read book Return of the Divine Sophia written by Tricia McCannon and published by Simon and Schuster. This book was released on 2015-03-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: An initiatic journey into the Mysteries of the Goddess and humanity’s return to an age of peace and celestial light • Details the ceremonies and rituals of initiation into the Fellowship of Isis • Reveals the lost teachings of Jesus about the Divine Mother and Father and how the goddess Sophia is connected to Mary Magdalene as the Female Christ • Explores the many archetypes of the Goddess, including Isis, Brigit, and the Black Madonna, and how we can transform into Homo luminous, spiritual beings of light Called through her dreams by the Priestesses of Isis, Tricia McCannon set out on a spiritual journey into the Mysteries of the Goddess. After a fateful encounter with a high initiate of the ancient Fellowship of Isis, she began researching the history of Judaism and Christianity to find out how and when the Divine Feminine became lost. She discovered a forgotten age when the Creator was honored as female and humanity lived in peaceful societies completely free of war. She shows how we can return to an age of peace and celestial light if we work to bring the masculine and feminine energies of the world back into balance. Sharing her journey into the heart of the Divine Mother, McCannon details her initiation into the Fellowship of Isis, a process rich with ceremony, ritual, and myths of the Goddess from ancient Egyptian, Celtic, Greek, Hebrew, and Native American traditions. She reveals how the many archetypes of the Goddess, including Isis, Ishtar, Brigit, and the Black Madonna, can become our allies for self-transformation. She explores Mysteries at the heart of Christianity that have remained hidden for nearly 2,000 years and how the Gnostic goddess Sophia is tied to the Second Coming, Mary Magdalene, and the Female Christ. She reveals the lost teachings of Jesus about the Divine Mother and Father and about the Divine Daughter and Son. Through her story and her in-depth research, McCannon takes us on a journey to awaken the creative power of the Divine Feminine within each of us. Equipped with the teachings of the Goddess, we gain the mastery to overcome the deeply rooted masculine-feminine imbalance of the patriarchy and to embark into the future as Homo luminous, beings of light.
Download or read book Lessons from the Masters written by Robert Gendler and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are currently thousands of amateur astronomers around the world engaged in astrophotography at a sophisticated level. Their ranks far outnumber professional astronomers doing the same and their contributions both technically and artistically are the dominant drivers of progress in the field today. This book is a unique collaboration of individuals world-renowned in their particular area and covers in detail each of the major sub-disciplines of astrophotography. This approach offers the reader the greatest opportunity to learn the most current information and the latest techniques directly from the foremost innovators in the field today. “Lessons from the Masters” includes a brilliant body of recognized leaders in astronomical imaging, assembled by Robert Gendler, who delivers the most current, sophisticated and useful information on digital enhancement techniques in astrophotography available today. Each chapter focuses on a particular technique, but the book as a whole covers all types of astronomical image processing, including processing of events such as eclipses, using DSLRs, and deep-sky, planetary, widefield, and high resolution astronomical image processing. Recognized contributors include deep-sky experts such as Jay GaBany, Tony Hallas, and Ken Crawford, high-resolution planetary expert Damian Peach, and the founder of TWAN (The World at Night) Babak A. Tafreshi. A large number of illustrations (150, 75 in color) present the challenges and accomplishments involved in the processing of astronomical images by enthusiasts.
Download or read book Diffusion Processes and their Sample Paths written by Kiyosi Itô and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its first publication in 1965 in the series Grundlehren der mathematischen Wissenschaften this book has had a profound and enduring influence on research into the stochastic processes associated with diffusion phenomena. Generations of mathematicians have appreciated the clarity of the descriptions given of one- or more- dimensional diffusion processes and the mathematical insight provided into Brownian motion. Now, with its republication in the Classics in Mathematics it is hoped that a new generation will be able to enjoy the classic text of Itô and McKean.
Download or read book Geometry of Characteristic Classes written by Shigeyuki Morita and published by American Mathematical Soc.. This book was released on 2001 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characteristic classes are central to the modern study of the topology and geometry of manifolds. They were first introduced in topology, where, for instance, they could be used to define obstructions to the existence of certain fiber bundles. Characteristic classes were later defined (via the Chern-Weil theory) using connections on vector bundles, thus revealing their geometric side. In the late 1960s new theories arose that described still finer structures. Examples of the so-called secondary characteristic classes came from Chern-Simons invariants, Gelfand-Fuks cohomology, and the characteristic classes of flat bundles. The new techniques are particularly useful for the study of fiber bundles whose structure groups are not finite dimensional. The theory of characteristic classes of surface bundles is perhaps the most developed. Here the special geometry of surfaces allows one to connect this theory to the theory of moduli space of Riemann surfaces, i.e., Teichmüller theory. In this book Morita presents an introduction to the modern theories of characteristic classes.
