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Readership: Undergraduate and graduate students in physics and chemistry and lecturers in the same disciplines; postgraduate students in the same disciplines and in biology; scientific workers entering a field where random walk models are used.
J. Klafter, Heinemann Chair of Physical Chemistry, Tel Aviv University, and I. M. Sokolov, Chair for Statistical Physics and Nonlinear Dynamics, Humboldt University, Berlin
"Most statistical physics books treat Brownian motion, but do not introduce the student to the many examples of anomalous diffusion. This is the void the Klafter-Sokolov book fills, to bring the student into contact with modern work on random walks with a unified approach. The power here is that straightforward mathematics can be employed to tackle a rich selection of problems in anomalous diffusion. One does not need to introduce many different techniques, but to successively generalize one method and apply it to topics in physics, chemistry, and biology. " - Michael Shlesinger, Office of Naval Research, USA
"Klafter and Sokolov give us a systematic introduction to the mathematics of random walks, ranging from simple one-dimensional walks through Lévy flights to walks on percolation structures and fractals. <"First Steps>" should be required reading for physicists, theoretical chemists and biologists, and applied mathematicians interested in stochastic processes. " - Robert C. Hilborn, The University of Texas at Dallas, USA
1: Characteristic Functions 2: Generating Functions and Applications 3: Continuous Time Random Walks 4: CTRW and Aging Phenomena 5: Master Equations 6: Fractional Diffusion and Fokker-Planck Equations for Subdiffusion 7: Lévy Flights 8: Coupled CTRW and Lévy Walks 9: Simple Reactions: A+B->B 10: Random Walks on Percolation Structures
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