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Entropy rate of diffusion processes on complex networks
Open accessAbstract
We introduce the concept of entropy rate to characterize a diffusion process on a complex network. The entropy rate represents the minimal amount of information necessary to describe the diffusion on the network, and is a quantity extremely sensitive to the network topology and dynamics. By opportunely tuning the kind of diffusion, the entropy rate allows one to extract different properties of the network structure. Moreover, entropy maximization indicates how to design optimal diffusion processes, providing a new theoretical tool with applications to social, technological, and communication systems.
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Cited by
The structure and dynamics of multilayer networks
Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., & Zanin, M. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.07.001 · Cited by 3,125
Self-citationRandom 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
Entropy measures for networks: Toward an information theory of complex topologies
Anand, K., & Bianconi, G. (2009) · Physical Review E · doi:10.1103/physreve.80.045102 · Cited by 368
Single-cell entropy for accurate estimation of differentiation potency from a cell’s transcriptome
Teschendorff, A. E., & Enver, T. (2017) · Nature Communications · doi:10.1038/ncomms15599 · Cited by 346
Exploring the Morphospace of Communication Efficiency in Complex Networks
Goñi, J., Avena-Koenigsberger, A., Velez de Mendizabal, N., van den Heuvel, M. P., Betzel, R. F., & Sporns, O. (2013) · PLoS ONE · doi:10.1371/journal.pone.0058070 · Cited by 158
Metadata
- Authors
- Gómez-Gardeñes, J., & Latora, V.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2008-12-11
- Volume
- 78
- Issue
- 6
- Pages
- 065102-065102
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W1977280998
- Cited by
- 199
- References
- 0
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- green
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