Exponential rate of convergence of an infinite neuron model with local connections (Q1965908)
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scientific article; zbMATH DE number 1409170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential rate of convergence of an infinite neuron model with local connections |
scientific article; zbMATH DE number 1409170 |
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Exponential rate of convergence of an infinite neuron model with local connections (English)
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1 March 2000
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An infinite-particle process of inhibitions is analyzed in the spatially non-homogeneous case (i.e., if the interactions depend on the current state on the net). Ergodicity of an infinite neural network with weak local inhibitory connections is established and the exponential rate of convergence for the associated Markov process is obtained. The proof is based on the method of cluster expansions combined with certain parameter scaling.
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cluster expansions
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stochastic neural network
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exponential convergence
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