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- Asmussen, Sören, et al.
(author)
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Stationarity properties of neural networks
- 1998
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In: Journal of Applied Probability. - 1475-6072. ; 35:4, s. 783-794
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Journal article (peer-reviewed)abstract
- A neural model with N interacting neurons is considered. A firing of neuron i delays the firing times of all other neurons by the same random variable theta((i)), and in isolation the firings of the neuron occur according to a renewal process with generic interarrival time Y-(i). The stationary distribution of the N-vector of inhibitions at a firing time is computed, and involves waiting distributions of GI/G/1 queues and ladder height renewal processes. Further, the distribution of the period of activity of a neuron is studied for the symmetric case where theta((i)) and Y-(i) do not depend upon i. The tools are probabilistic and involve path decompositions, Palm theory and random walks.
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