LAPLACIANS AND THE CHEEGER CONSTANTS FOR DISCRETE DYNAMICAL SYSTEMS

被引：2

作者：

Fernandes, Sara

Gracio, Clara

Ramos, J. Sousa

机构：

来源：

DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS | 2007年

关键词：

Discrete Laplacian; Cheeger constant; discrete dynamical system; systole;

D O I：

10.1142/9789812770752_0017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider discrete laplacians for iterated maps on the interval and examine their eigenvalues. We have introduced a notion of conductance (Cheeger constant) for a discrete dynamical system, now we study their relations with the spectrum. We compute the systoles and the first eigenvalue of some families of discrete dynamical systems.

引用

页码：213 / 223

页数：11

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