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Random walks on graphs: ideas, techniques and results
Open accessAbstract
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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Citations
Cited by
Random walks and diffusion on networks
Masuda, N., Porter, M. A., & Lambiotte, R. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.07.007 · Cited by 657
Bianconi, G. (2021) · doi:10.1017/9781108770996 · Cited by 223
The meeting problem in the quantum walk
Štefanák, M., Kiss, T., Jex, I., & Mohring, B. (2006) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/39/48/009 · Cited by 24
Metadata
- Authors
- Burioni, R., & Cassi, D.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2005-02-10
- Volume
- 38
- Issue
- 8
- Pages
- R45-R78
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2065433012
- Cited by
- 205
- References
- 0
- FWCI
- 6.42
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Burioni, R., & Cassi, D. (2005). Random walks on graphs: ideas, techniques and results. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/38/8/r01
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
