Random walks on graphs: ideas, techniques and results

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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LateX file, 34 pages, 13 jpeg figures, Topical Review

Scientific paper

10.1088/0305-4470/38/8/R01

Random walks on graphs are widely used in all sciences to describe a great variety of phenomena where dynamical random processes are affected by topology. In recent years, relevant mathematical results have been obtained in this field, and new ideas have been introduced, which can be fruitfully extended to different areas and disciplines. Here we aim at giving a brief but comprehensive perspective of these progresses, with a particular emphasis on physical aspects.

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