Abstract
The study of rumor models from a percolation theory point of view has gained a few adepts in the last few years. The persistence of a rumor, which may consistently spread out throughout a population can be associated to the existence of a giant component containing the origin of a graph. That is one of the main interests in percolation theory. In this paper we present a quick review of recent results on rumor models of this type.
Research supported by CNPq (303699/2018-3), FAPESP (09/52379-8), PNPD-Capes 536114 and Simons Foundation Collaboration grant 281207.
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Acknowledgments
F.P.M. wishes to thank NYU-Shanghai China and V.V.J. and K.R. wish to thank Instituto de Matemática e Estatística-USP Brazil for kind hospitality.
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To Chuck Newman, Friend, Colleague, and Mentor for his 70th Birthday
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Junior, V.V., Machado, F.P., Ravishankar, K. (2019). The Rumor Percolation Model and Its Variations. In: Sidoravicius, V. (eds) Sojourns in Probability Theory and Statistical Physics - II. Springer Proceedings in Mathematics & Statistics, vol 299. Springer, Singapore. https://doi.org/10.1007/978-981-15-0298-9_9
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