Random Walks in Biology
Random Walks in Biology

Author: Howard C. Berg

Publisher: Princeton University Press

Published: 2018-11-20

Total Pages: 166

ISBN-13: 1400820022

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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.

More Random Walks in Science
More Random Walks in Science

Author: R.L. Weber

Publisher: Routledge

Published: 2017-11-22

Total Pages: 225

ISBN-13: 1351430130

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More Random Walks in Science is an anthology of fascinating and frequently amusing anecdotes, quotations, illustrations, articles, and reviews that reflect the more lighthearted aspects of the scientific world and the less serious excursions of the scientific mind. The book is guaranteed to delight anyone who has a professional or amateur interest in science.

E. coli in Motion
E. coli in Motion

Author: Howard C. Berg

Publisher: Springer Science & Business Media

Published: 2008-01-11

Total Pages: 136

ISBN-13: 0387216383

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Escherichia coli, commonly referred to as E. coli, has been the organism of choice for molecular genetics for decades. Its machinery and mobile behavior is one of the most fascinating topics for cell scientists. Scientists and engineers, not trained in microbiology, and who would like to learn more about living machines, can see it as a unique example. This cross-disciplinary monograph covers more than thirty years of research and is accessible to graduate students and scientists alike.

A Random Walk in Physics
A Random Walk in Physics

Author: Massimo Cencini

Publisher: Springer Nature

Published: 2021-06-15

Total Pages: 220

ISBN-13: 3030725316

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This book offers an informal, easy-to-understand account of topics in modern physics and mathematics. The focus is, in particular, on statistical mechanics, soft matter, probability, chaos, complexity, and models, as well as their interplay. The book features 28 key entries and it is carefully structured so as to allow readers to pursue different paths that reflect their interests and priorities, thereby avoiding an excessively systematic presentation that might stifle interest. While the majority of the entries concern specific topics and arguments, some relate to important protagonists of science, highlighting and explaining their contributions. Advanced mathematics is avoided, and formulas are introduced in only a few cases. The book is a user-friendly tool that nevertheless avoids scientific compromise. It is of interest to all who seek a better grasp of the world that surrounds us and of the ideas that have changed our perceptions.

Elements of the Random Walk
Elements of the Random Walk

Author: Joseph Rudnick

Publisher: Cambridge University Press

Published: 2004-03-04

Total Pages: 350

ISBN-13: 9781139450140

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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.

Intersections of Random Walks
Intersections of Random Walks

Author: Gregory F. Lawler

Publisher: Springer Science & Business Media

Published: 2012-11-06

Total Pages: 226

ISBN-13: 1461459729

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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.

Dynamic Random Walks
Dynamic Random Walks

Author: Nadine Guillotin-Plantard

Publisher: Elsevier

Published: 2006-02-08

Total Pages: 279

ISBN-13: 0080462847

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The aim of this book is to report on the progress realized in probability theory in the field of dynamic random walks and to present applications in computer science, mathematical physics and finance. Each chapter contains didactical material as well as more advanced technical sections. Few appendices will help refreshing memories (if necessary!).· New probabilistic model, new results in probability theory· Original applications in computer science· Applications in mathematical physics· Applications in finance

First Steps in Random Walks
First Steps in Random Walks

Author: J. Klafter

Publisher: Oxford University Press

Published: 2011-08-18

Total Pages: 161

ISBN-13: 0199234868

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Random walks proved to be a useful model of many complex transport processes at the micro and macroscopical level in physics and chemistry, economics, biology and other disciplines. The book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description.

Principles of Random Walk
Principles of Random Walk

Author: Frank Spitzer

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 419

ISBN-13: 1475742290

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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.