TY - BOOK AU - Rudnick,Joseph Alan AU - Gaspari,George David TI - Elements of the random walk: an introduction for advanced students and researchers SN - 9780511648137 AV - QA274.73 .R84 2004eb U1 - 519.2/82 22 PY - 2004/// CY - Cambridge, New York PB - Cambridge University Press KW - Random walks (Mathematics) KW - Marches aléatoires (Mathématiques) KW - MATHEMATICS KW - Probability & Statistics KW - General KW - bisacsh KW - fast KW - Random walks (statistiek) KW - gtt KW - Waarschijnlijkheidstheorie KW - Stochastische processen KW - Probabilidade KW - larpcal KW - Electronic book KW - Electronic books KW - lcgft N1 - Includes bibliographical references (pages 323-325) and index; 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 N2 - 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 UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=304472 ER -