Random walks on graphs: ideas, techniques and results

By Raffaella Burioni, Davide Cassi. 2005

174 citations recorded by the source corpus.

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.

Subfields: Condensed Matter Physics, Mathematical Physics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/08699966dea655af0567819f1f1bfaa115846199

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In Mathematical Physics

1. Renaud Lambiotte
2. M. A. Porter

In Molecular Biology

1. Naoki Masuda
2. Renaud Lambiotte
3. M. A. Porter

Citations in the corpus

• Random walks and diffusion on networks (2016, background): “[4, 29{35]. Other monographs and surveys focus on RWs on fractal structures, revealing diusion properties that are \anomalous" compared to RWs on regular lattices or Euclidean spaces (i.e., Rd) [32, 36{40]. Other literature treats RWs on nite networks, which are equivalent to a nite Markov chai”