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. PACS numbers: 02.10.Ab, 02.40.Sf, 05.40.Fb, 05.50.+q
Random walks on graphs: ideas, techniques and results / Burioni, Raffaella; Cassi, Davide. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 38:(2005), pp. R45-R78. [10.1088/0305-4470/38/8/R01]
Random walks on graphs: ideas, techniques and results
BURIONI, Raffaella;CASSI, Davide
2005-01-01
Abstract
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. PACS numbers: 02.10.Ab, 02.40.Sf, 05.40.Fb, 05.50.+q| File | Dimensione | Formato | |
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