title: Geometric theory for Weibull's distribution.
abstract: Weibull's distribution is the principal phenomenological law of relaxation in the physical sciences and spans three different relaxation regimes: subexponential ("stretched exponential"), exponential, and superexponential. The probabilistic theory of extreme-value statistics asserts that the linear scaling limits of minima of ensembles of positive-valued random variables, which are independent and identically distributed, are universally governed by Weibull's distribution. However, this probabilistic theory does not take into account spatial geometry, which often plays a key role in the physical sciences. In this paper we present a general and versatile model of random reactions in random environments and establish a geometry-based theory for the universal emergence of Weibull's distribution.
authors.affiliation: Holon Institute of Technology, P. O. Box 305, Holon 58102, Israel. eliazar@post.tau.ac.il
authors.forename: Iddo
authors.initials: I
authors.lastname: Eliazar