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On the physical relevance of max- and log-max-selfsimilar distributions |
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| Authors: | T Huillet A Porzio M Ben Alaya |
| Institution: | (1) LIMHP-CNRS, Université Paris XIII, Institut Galilée, 93430 Villetaneuse, France, FR;(2) LPTM, Université de Cergy-Pontoise, Neuville, 95031 Cergy-Pontoise, France, FR;(3) LAGA, Université Paris XIII, Institut Galilée, 93430 Villetaneuse, France, FR;(4) CPTH, école Polytechnique, 91128 Palaiseau, France, FR;(5) CERMICS, ENPC, 6 et 8 avenue Blaise Pascal, 77455 Marne la Vallée, France, FR |
| Abstract: | This work emphasizes the special role played by max-semistable and log-max-semistable distributions as relevant statistical models of various observable and “internal” variables in Physics. Some of their remarkable properties (chiefly self-similarity) are displayed in some detail. One of their characteristic features is a log-periodic variation of the scale parameter which appears in the stable extreme value distributions. Received 29 November 1999 and Received in final form 24 March 2000 |
| Keywords: | PACS 02 50 -r Probability theory stochastic processes and statistics - 05 20 -y Classical statistical mechanics - 89 90 +n Other topics of general interest to physicists |
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