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- Convergence time to equilibrium distributions of autonomous and periodic non-autonomous graphsPublication . Morais Silva, Teresa; Silva, Luís; Fernandes, SaraWe present some estimates of the time of convergence to the equilibrium distribution in autonomous and periodic non-autonomous graphs, with ergodic stochastic adjacency matrices, using the eigenvalues of these matrices. On this way we generalize previous results from several authors, that only considered reversible matrices.
- Equilibrium distributions of discrete non-autonomous graphsPublication . Morais Silva, Teresa; Silva, Luis; Fernandes, SaraWe 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.