Carlo Fulvi Mari 2000 J. Phys. A: Math. Gen. 33 23 doi:10.1088/0305-4470/33/1/302
Carlo Fulvi Mari
Show affiliationsA class of families of marginal probabilities on sets of discrete random variables is studied and a necessary and sufficient condition for the consistency of the given marginals is provided. This result allows one to verify the consistency of the marginals through a Boltzmann statistical analysis.
The procedure is then applied in order to verify the hypotheses assumed in a recent model of neocortical associative areas, according to which connected modules of neurons are simultaneously active with probability higher than chance, and inter-modular connections are very diluted. The verification becomes a typical problem of extremely diluted spin systems in Boltzmann-Gibbs ensemble. The results presented here justify the assumptions made in the neuroscientific theory, and an upper bound to the inter-modular activity correlation is found.
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
60E05 Distributions: general theory
60D05 Geometric probability, stochastic geometry, random sets (See also 52A22, 53C65)
Issue 1 (14 January 2000)
Received 29 March 1999
Carlo Fulvi Mari 2000 J. Phys. A: Math. Gen. 33 23
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