Abstract
Angluin et al. [1] introduced the notion of “Probabilistic Population Protocols” (PPP) where extremely limited agents are represented as finite state machines that interact in pairs under the control of an adversary scheduler. We provide a very general model that allows to examine the continuous dynamics of population protocols and we show that it includes the model of [1], under certain conditions, with respect to the continuous dynamics of the two models.
This work has been partially supported by the ICT Programme of the European Union under contract number ICT-2008-215270 (FRONTS).
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References
Angluin, D., Aspnes, J., Diamadi, Z., Fischer, M.J., Peralta, R.: Computation in networks of passively mobile finite-state sensors. In: 23rd Annual ACM Symposium on Principles of Distributed Computing (PODC), pp. 290–299. ACM, New York (2004)
Hirsch, M., Smale, S.: Differential Equations, Dynamical Systems and Linear Algebra. Academic Press, London (1974)
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Chatzigiannakis, I., Spirakis, P.G. (2008). The Dynamics of Probabilistic Population Protocols. In: Taubenfeld, G. (eds) Distributed Computing. DISC 2008. Lecture Notes in Computer Science, vol 5218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87779-0_35
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DOI: https://doi.org/10.1007/978-3-540-87779-0_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87778-3
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