The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Random Walks and Search in Time-Varying Networks
Open accessAbstract
The random walk process underlies the description of a large number of real-world phenomena. Here we provide the study of random walk processes in time-varying networks in the regime of time-scale mixing, i.e., when the network connectivity pattern and the random walk process dynamics are unfolding on the same time scale. We consider a model for time-varying networks created from the activity potential of the nodes and derive solutions of the asymptotic behavior of random walks and the mean first passage time in undirected and directed networks. Our findings show striking differences with respect to the well-known results obtained in quenched and annealed networks, emphasizing the effects of dynamical connectivity patterns in the definition of proper strategies for search, retrieval, and diffusion processes in time-varying networks.
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Citations
Cites
The anatomy of a large-scale hypertextual Web search engine
Brin, S., & Page, L. (1998) · Computer Networks and ISDN Systems · doi:10.1016/s0169-7552(98)00110-x · Cited by 16,004
Newman, M. (2010) · doi:10.1093/acprof:oso/9780199206650.001.0001 · Cited by 6,595
Holme, P., & Saramäki, J. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.001 · Cited by 2,736
Dynamical Processes on Complex Networks
Barrat, A., Barthélemy, M., & Vespignani, A. (2008) · doi:10.1017/cbo9780511791383 · Cited by 2,704
Self-citationActivity driven modeling of time varying networks
Perra, N., Gonçalves, B., Pastor-Satorras, R., & Vespignani, A. (2012) · Scientific Reports · doi:10.1038/srep00469 · Cited by 709
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Epidemic processes in complex networks
Pastor-Satorras, R., Castellano, C., Van Mieghem, P., & Vespignani, A. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.925 · Cited by 3,697
Self-citationModern temporal network theory: a colloquium
Holme, P. (2015) · The European Physical Journal B · doi:10.1140/epjb/e2015-60657-4 · Cited by 734
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
Metadata
- Authors
- Perra, N., Baronchelli, A., Mocanu, D., Gonçalves, B., Pastor-Satorras, R., & Vespignani, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-12-04
- Volume
- 109
- Issue
- 23
- Pages
- 238701-238701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2167602895
- Cited by
- 187
- References
- 5
- FWCI
- 12.41
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Perra, N., Baronchelli, A., Mocanu, D., Gonçalves, B., Pastor-Satorras, R., & Vespignani, A. (2012). Random Walks and Search in Time-Varying Networks. Physical Review Letters. https://doi.org/10.1103/physrevlett.109.238701
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