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Random Walk
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Book Synopsis A Random Walk Down Wall Street: The Time-Tested Strategy for Successful Investing (Ninth Edition) by : Burton G. Malkiel
Download or read book A Random Walk Down Wall Street: The Time-Tested Strategy for Successful Investing (Ninth Edition) written by Burton G. Malkiel and published by W. W. Norton & Company. This book was released on 2007-12-17 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated with a new chapter that draws on behavioral finance, the field that studies the psychology of investment decisions, the bestselling guide to investing evaluates the full range of financial opportunities.
Book Synopsis Random Walk: A Modern Introduction by : Gregory F. Lawler
Download or read book Random Walk: A Modern Introduction written by Gregory F. Lawler and published by Cambridge University Press. This book was released on 2010-06-24 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random walks are stochastic processes formed by successive summation of independent, identically distributed random variables and are one of the most studied topics in probability theory. This contemporary introduction evolved from courses taught at Cornell University and the University of Chicago by the first author, who is one of the most highly regarded researchers in the field of stochastic processes. This text meets the need for a modern reference to the detailed properties of an important class of random walks on the integer lattice. It is suitable for probabilists, mathematicians working in related fields, and for researchers in other disciplines who use random walks in modeling.
Book Synopsis Principles of Random Walk by : Frank Spitzer
Download or read book Principles of Random Walk written by Frank Spitzer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted exclusively to a very special class of random processes, namely, to random walk on the lattice points of ordinary Euclidian space. The author considers this high degree of specialization worthwhile because the theory of such random walks is far more complete than that of any larger class of Markov chains. Almost 100 pages of examples and problems are included.
Book Synopsis A Random Walk Down Wall Street by : Burton Gordon Malkiel
Download or read book A Random Walk Down Wall Street written by Burton Gordon Malkiel and published by W. W. Norton & Company. This book was released on 2003 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative guide to successful investing, offering a vast array of advice on how investors can tilt the odds in their favour.
Book Synopsis Two-Dimensional Random Walk by : Serguei Popov
Download or read book Two-Dimensional Random Walk written by Serguei Popov and published by Cambridge University Press. This book was released on 2021-03-18 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A visual, intuitive introduction in the form of a tour with side-quests, using direct probabilistic insight rather than technical tools.
Book Synopsis Random Walk and the Heat Equation by : Gregory F. Lawler
Download or read book Random Walk and the Heat Equation written by Gregory F. Lawler and published by American Mathematical Soc.. This book was released on 2010-11-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation and considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equations and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. This first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.
Book Synopsis Random Walk, Brownian Motion, and Martingales by : Rabi Bhattacharya
Download or read book Random Walk, Brownian Motion, and Martingales written by Rabi Bhattacharya and published by Springer Nature. This book was released on 2021-09-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. Consisting of many short chapters, the book begins with a comprehensive account of the simple random walk in one dimension. From here, different paths may be chosen according to interest. Themes span Poisson processes, branching processes, the Kolmogorov–Chentsov theorem, martingales, renewal theory, and Brownian motion. Special topics follow, showcasing a selection of important contemporary applications, including mathematical finance, optimal stopping, ruin theory, branching random walk, and equations of fluids. Engaging exercises accompany the theory throughout. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors alike will appreciate the accessible, example-driven approach. A single, graduate-level course in probability is assumed.
Book Synopsis Intersections of Random Walks by : Gregory F. Lawler
Download or read book Intersections of Random Walks written by Gregory F. Lawler and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally published in 1991, Intersections of Random Walks focuses on and explores a number of problems dealing primarily with the nonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics include: discrete harmonic measure, including an introduction to diffusion limited aggregation (DLA); the probability that independent random walks do not intersect; and properties of walks without self-intersections. The present softcover reprint includes corrections and addenda from the 1996 printing, and makes this classic monograph available to a wider audience. With a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probability and statistical physics and to graduate students interested in basic properties of random walks.
Book Synopsis Random Walks on Reductive Groups by : Yves Benoist
Download or read book Random Walks on Reductive Groups written by Yves Benoist and published by Springer. This book was released on 2016-10-20 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients. Under the assumption that the action of the matrices is semisimple – or, equivalently, that the Zariski closure of the group generated by these matrices is reductive - and under suitable moment assumptions, it is shown that the norm of the products of such random matrices satisfies a number of classical probabilistic laws. This book includes necessary background on the theory of reductive algebraic groups, probability theory and operator theory, thereby providing a modern introduction to the topic.
Book Synopsis Random Walks in Biology by : Howard C. Berg
Download or read book Random Walks in Biology written by Howard C. Berg and published by Princeton University Press. This book was released on 2018-11-20 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a lucid, straightforward introduction to the concepts and techniques of statistical physics that students of biology, biochemistry, and biophysics must know. It provides a sound basis for understanding random motions of molecules, subcellular particles, or cells, or of processes that depend on such motion or are markedly affected by it. Readers do not need to understand thermodynamics in order to acquire a knowledge of the physics involved in diffusion, sedimentation, electrophoresis, chromatography, and cell motility--subjects that become lively and immediate when the author discusses them in terms of random walks of individual particles.
Download or read book Random Walk written by Lawrence Block and published by . This book was released on 2020-09-04 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principles of Random Walk by : Frank Spitzer
Download or read book Principles of Random Walk written by Frank Spitzer and published by Springer Science & Business Media. This book was released on 2001 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than 100 pages of examples and problems illustrate and clarify the presentation."--BOOK JACKET.
Book Synopsis Random Walk in Random and Non-random Environments by : P l Rvsz
Download or read book Random Walk in Random and Non-random Environments written by P l Rvsz and published by World Scientific. This book was released on 2005 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simplest mathematical model of the Brownian motion of physics is the simple, symmetric random walk. This book collects and compares current results ? mostly strong theorems which describe the properties of a random walk. The modern problems of the limit theorems of probability theory are treated in the simple case of coin tossing. Taking advantage of this simplicity, the reader is familiarized with limit theorems (especially strong ones) without the burden of technical tools and difficulties. An easy way of considering the Wiener process is also given, through the study of the random walk.Since the first edition was published in 1990, a number of new results have appeared in the literature. The original edition contained many unsolved problems and conjectures which have since been settled; this second revised and enlarged edition includes those new results. Three new chapters have been added: frequently and rarely visited points, heavy points and long excursions. This new edition presents the most complete study of, and the most elementary way to study, the path properties of the Brownian motion.
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 A Random Walk to Nowhere by : Edward E. Williams
Download or read book A Random Walk to Nowhere written by Edward E. Williams and published by World Scientific. This book was released on 2020 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Fraud, lies, and statistics -- The early history of modern financial economics -- The birth of the efficient market hypothesis -- Earlier views of market efficiency -- The impact of information and regulation on market efficiency -- Tests of the EMH -- Anomalies -- The capital asset pricing model -- Beyond the CAPM -- Conclusions -- References.
Book Synopsis Elements of the Random Walk by : Joseph Rudnick
Download or read book Elements of the Random Walk written by Joseph Rudnick and published by Cambridge University Press. This book was released on 2004-03-04 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. Elements of the Random Walk is an introduction to some of the most powerful and general techniques used in the application of these ideas. The mathematical construct that runs through the analysis of the topics covered in this book, unifying the mathematical treatment, is the generating function. Although the reader is introduced to analytical tools, such as path-integrals and field-theoretical formalism, the book is self-contained in that basic concepts are developed and relevant fundamental findings fully discussed. Mathematical background is provided in supplements at the end of each chapter, when appropriate. This text will appeal to graduate students across science, engineering and mathematics who need to understand the applications of random walk techniques, as well as to established researchers.
Book Synopsis Ad-Hoc, Mobile and Wireless Networks by : Ioanis Nikolaidis
Download or read book Ad-Hoc, Mobile and Wireless Networks written by Ioanis Nikolaidis and published by Springer. This book was released on 2010-08-24 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than a decade, ad hoc wireless networks have galvanized the interest and sparked the imagination of researchers. Such networks consist of a set of nodes equipped with wireless interfaces and they are designed to form self-organizing and spontaneous networks. They are usually multi-hop in nature, collectively forwarding and processing data to accomplish an application task. In addition, their topologies can be highly dynamic due to the potential mobility of the nodes. All these properties, in isolation and combination, pose a plethora of research challenges as well as new application opportunities. The International Conference on Ad-Hoc Networks and Wireless (ADHOC-NOW) serves as one of the premier venues for researchers and industrial practitioners to exchange ideas in this exciting area. Following previous ADHOC-NOW conferences in Murcia, Spain (2009), Sophia Antipolis, France (2008), Morelia, Mexico (2007), Ottawa, Canada (2006), Cancun, Mexico (2005), Vancouver, Canada (2004), Mo- real, Canada (2003), and Toronto, Canada (2002), the ninth ADHOC-NOW conf- ence took place at the University of Alberta in Edmonton, Canada, during August 20–22, 2010. As the capital city of the Province of Alberta, Edmonton is a cultural, governmental, and educational center and offers year-round world-class f- tivals, including the Edmonton International Fringe Theatre Festival. Edmonton is also home to North America's largest indoor shopping mall, the West Edmonton Mall. The summer in Edmonton is particularly joyful and has mild temperature and long, sunny daytime.
