From Osher Doctorow Ph.D.

The Los Alamos arXiv:gr-qc, arXiv:astro-ph, etc., are Archives on the internet of preprints in mathematics and physics mostly, but they have just added arXiv:q-bio.QM, a Mathematical Biology Archive that remarkably goes back from September of this year quite a few years backward. Two papers of this September (both September 16, 2003) might be of interest to members of Fractint: "Multi-Stability in Monotone Input/Output Systems" arXiv:q- bio.QM/0309002 and "Monotone control systems," same place/0309001, both by authors David Angeli of U. Florence, Italy, and Eduardo D. Sontag of Rutgers University. I will simply mention for now that monotonicity is a rather interesting property that seems to be related to growth-expansion-contraction rather than constancy or cyclic behavior as I've developed them in my postings and elsewhere in Rare Event Theory/Geometric Physics. The authors don't use any of my explicit ideas, but we seem to be going in somewhat similar directions in some ways. Osher Doctorow Ph.D.