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Exponential rate of convergence of an infinite neuron model with local connections

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  • Turova, Tatyana S.

Abstract

We investigate the dynamics of an infinite neural network in the case of local inhibitory connections and analyse their large-time limit behaviour. We show that for a certain set of parameters the net is ergodic, and that the convergence to the invariant measure is exponentially fast.

Suggested Citation

  • Turova, Tatyana S., 1998. "Exponential rate of convergence of an infinite neuron model with local connections," Stochastic Processes and their Applications, Elsevier, vol. 73(2), pages 173-193, March.
    • Handle: RePEc:eee:spapps:v:73:y:1998:i:2:p:173-193
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    References listed on IDEAS

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    1. Cottrell, Marie, 1992. "Mathematical analysis of a neural network with inhibitory coupling," Stochastic Processes and their Applications, Elsevier, vol. 40(1), pages 103-126, February.
    2. Turova, Tatyana S. & Mommaerts, Walter & van der Meulen, Edward C., 1994. "Synchronization of firing times in a stochastic neural network model with excitatory connections," Stochastic Processes and their Applications, Elsevier, vol. 50(1), pages 173-186, March.
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