DIFFUSION IN UNIFORMLY HYPERBOLIC ONE-DIMENSIONAL MAPS AND APPELL POLYNOMIALS

被引：33

作者：

GASPARD, P

机构：

[1] Faculté des Sciences, Université Libre de Bruxelles, B-1050 Brussels, Campus Plaine C.P. 231, Blvd. Triomphe

来源：

PHYSICS LETTERS A | 1992年 / 168卷 / 01期

关键词：

D O I：

10.1016/0375-9601(92)90321-C

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct the eigenpolynomials and the eigendistributions associated with Ruelle resonances in a piecewise-linear one-dimensional map model of deterministic diffusion which is uniformly hyperbolic. We show that the eigenpolynomials belong to the class of Appell polynomials and that the eigendistributions are given by series of derivatives of the Dirac distribution. The expansion on the eigenpolynomials is shown to converge for initial densities which are entire functions of exponential type.

引用

页码：13 / 17

页数：5

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