By Mehran Kardar

whereas many scientists are acquainted with fractals, fewer are accustomed to scale-invariance and universality which underlie the ubiquity in their shapes. those houses could emerge from the collective behaviour of straightforward basic parts, and are studied utilizing statistical box theories. preliminary chapters attach the particulate viewpoint constructed within the better half quantity, to the coarse grained statistical fields studied the following. in response to lectures taught through Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation conception, unique ideas, renormalization teams, and different instruments are hired to illustrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are mentioned. excellent for complex graduate classes in statistical physics, it comprises an built-in set of difficulties, with recommendations to chose difficulties on the finish of the ebook and an entire set to be had to academics at www.cambridge.org/9780521873413.

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