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Aspects and Applications of the Random Walk (Random Materials and Processes) - Softcover

 
9780444816061: Aspects and Applications of the Random Walk (Random Materials and Processes)

Synopsis

Both the formalism and many of the attendant ideas related to the random walk lie at the core of a significant fraction of contemporary research in statistical physics. In the language of physics the random walk can be described as a microscopic model for transport processes which have some element of randomness. The starting point of nearly all analyses of transport in disordered media is to be found in one or another type of random walk model. Mathematical formalism based on the theory of random walks is not only pervasive in a number of areas of physics, but also finds application in many areas of chemistry. The random walk has also been applied to the study of a number of biological phenomena.

Despite the obvious importance of random walks in these and other applications there are few books devoted to the subject. This is therefore a timely introduction to the subject which will be welcomed by students and more senior researchers who have had no prior contact with the field. The author has focussed on simpler aspects of the subject, focussing mainly on Markovian models, or models closely related to a Markovian formulation. Such models are exemplified by the continuous-time random walk which has both Markovian and non-Markovian aspects. Considerable emphasis has been placed on asymptotic properties of random walks because their universal properties are the ones that permit such a wide range of applications of the mathematical formalism. Attention is also given to an introductory account of Abelian and Tauberian theorems.

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  • PublisherNorth Holland
  • Publication date1994
  • ISBN 10 0444816062
  • ISBN 13 9780444816061
  • BindingPaperback
  • Number of pages378

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Weiss, G.H.
Published by North Holland, 1994
ISBN 10: 0444816062 ISBN 13: 9780444816061
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Condition: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, Sept. 23 (weekend sale item)* 361 pp., paperback, previous owner's handstamp to half title page, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Photos available upon request. Seller Inventory # ZB1262855

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Weiss, George H.
Published by North-Holland, 1994
ISBN 10: 0444816062 ISBN 13: 9780444816061
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Hardcover. Condition: Good. 361 pp., diagrams, bibliography, index. ex-library, rebound as hardcover with original cover, label across spine, stamps on outside page edges, stamp inside each cover, labels & stamp on FFEP, stamps on copyright page. Both the formalism and many of the attendant ideas related to the random walk lie at the core of a significant fraction of contemporary research in statistical physics. In the language of physics the random walk can be described as a microscopic model for transport processes which have some element of randomness. The starting point of nearly all analyses of transport in disordered media is to be found in one or another type of random walk model. Mathematical formalism based on the theory of random walks is not only pervasive in a number of areas of physics, but also finds application in many areas of chemistry. The random walk has also been applied to the study of a number of biological phenomena. Despite the obvious importance of random walks in these and other applications there are few books devoted to the subject. This is therefore a timely introduction to the subject which will be welcomed by students and more senior researchers who have had no prior contact with the field. The author has focussed on simpler aspects of the subject, focussing mainly on Markovian models, or models closely related to a Markovian formulation. Such models are exemplified by the continuous-time random walk which has both Markovian and non-Markovian aspects. Considerable emphasis has been placed on asymptotic properties of random walks because their universal properties are the ones that permit such a wide range of applications of the mathematical formalism. Attention is also given to an introductory account of Abelian and Tauberian theorems. Seller Inventory # 0444816062AMA120621

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Weiss, G.H.
Published by North Holland, 1994
ISBN 10: 0444816062 ISBN 13: 9780444816061
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