Equilibrium distributions of discrete non-autonomous graphs

Morais Silva,  Teresa; Silva, Luis; Fernandes, Sara

http://hdl.handle.net/10400.21/5006

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Authors

Morais Silva, Teresa

Silva, Luis

Fernandes, Sara

Abstract(s)

We introduce the notions of equilibrium distribution and time of convergence in discrete non-autonomous graphs. Under some conditions we give an estimate to the convergence time to the equilibrium distribution using the second largest eigenvalue of some matrices associated with the system.

Keywords

Non-Autonomous Dynamical Systems Dynamic Graphs Non-Autonomous Graphs Equilibrium Distributions Markov Chains

URI

http://hdl.handle.net/10400.21/5006

Citation

SILVA, Teresa M. de Paiva Martins; SILVA, Luís Manuel Ferreira da; FERNANDES, Sara – Equilibrium distributions of discrete non-autonomous graphs. Journal of Difference Equations and Applications. ISSN: 1023-6198. Vol. 20, N.º 8 (2014), pp. 1190-1200.