Abstract:
The main result presented in this paper (whose proof can be found in [1]) is that the fraction of agents (Y̅Nk(t)) at state k ∈ X := {1, ..., K} associated with an intera...Show MoreMetadata
Abstract:
The main result presented in this paper (whose proof can be found in [1]) is that the fraction of agents (Y̅Nk(t)) at state k ∈ X := {1, ..., K} associated with an interacting particle system over an appropriate dynamical communication network converges weakly to the solution of a differential equation. The vector macroprocess (Y̅N(t)) = (Y̅N1(t),..., Y̅Nk(t)) is not Markov since its evolution depends not only on its current state, but on finer real-time microscopic high-dimensional information of the system - namely, the state of the N nodes XN(t) ∈ XN. Our result essentially states that under an appropriate dynamics of the underlying network of contacts, the macroprocess (Y̅N(t)) becomes asymptotically (in N) Markov.
Date of Conference: 06-09 November 2016
Date Added to IEEE Xplore: 06 March 2017
ISBN Information: