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Book Cover
E-book
Author Rudnick, Joseph Alan, 1944-

Title Elements of the random walk : an introduction for advanced students and researchers / Joseph Rudnick, George Gaspari
Published Cambridge ; New York : Cambridge University Press, 2004

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Description 1 online resource (xv, 329 pages) : illustrations
Contents Introduction to techniques -- Generating functions I -- Generating functions II : recurrence, sites visited, and the role of dimensionality -- Boundary conditions, steady state, and the electrostatic analogy -- Variations on the random walk -- The shape of a random walk -- Path integrals and self-avoidance -- Properties of the random walk : introduction to scaling -- Scaling of walks and critical phenomena -- Walks and the O(n) model : mean field theory and spin waves -- Scaling, fractals, and renormalization -- More on the renormalization group
Summary Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. This self-contained text will appeal to graduate students who need to understand the applications of random walk techniques, as well as to established researchers
Bibliography Includes bibliographical references (pages 323-325) and index
Notes English
Print version record
Subject Random walks (Mathematics)
MATHEMATICS -- Probability & Statistics -- General.
Random walks (Mathematics)
Random walks (statistiek)
Waarschijnlijkheidstheorie.
Stochastische processen.
Probabilidade.
Form Electronic book
Author Gaspari, George David.
ISBN 9780511648137
0511648138
9780511610912
0511610912
1107147670
9781107147676
1282394770
9781282394773
9786612394775
6612394773
0511644353
9780511644351
0511566492
9780511566493
9780521535830
0521535832