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Titlebook: Statistical Mechanics of Biocomplexity; Proceedings of the X D. Reguera,J.M.G. Vilar,J.M. Rubí Conference proceedings 1999 Springer-Verlag

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Statistical mechanics of network models of macroevolution and extinction,suggested to be linked with a self-organized critical phenomenon by several authors. In this paper we review some of these models and their specific predictions. It is shown that most of the observed statistical properties of the evolutionary process on the long time scale can be reproduced by means
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Small-world networks,e time, all three networks exhibit much more local clustering than a random net, demonstrating that they are not random. I’ll also discuss a class of model networks that interpolate between regular lattices and random graphs. Previous theoretical research on complex systems in a wide range of discip
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Extended mean-field theory for networks of spiking neurons,ratio of the noise to the mean-field tends to zero in the thermodynamic limit. Hence, in a ferromagnet, a “low-rate” state cannot be stable in this limit. The solution chosen by the brain is to introduce inhibition (anti-ferromagnetism). The condition for stability becomes one in which the mean inhi
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A new nonlinear model for pitch perception,that physical frequencies produced by generic nonlinear oscillators acted upon by two independent periodic excitations can reproduce with great precision most of the experimental data about the residue.
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