Gibbs Measures on Attractors in Biological Neural Networks

V.A. Malyshev, T.S. Turova

1997, v.3, Issue 4, 443-464


We consider a class of non-reversible processes with a local interaction. It is also a model of biological neural network. We study the structure of equilibrium measures on attractors. It appears that there are first- and second-order phase transitions with respect to the grey level parameter.

Keywords: neural networks,non-reversible processes with local interactions,Gibbs measure,phase transitions


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