Fredholm determinant for piecewise linear transformations

zbMath0704.28010MaRDI QIDQ916815

Makoto Mori

Publication date: 1990

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Perron-Frobenius operatorsymbolic dynamicsFredholm determinantRuelle zeta functionpiecewise holomorphic systemspiecewise linear transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (9)

Dynamical zeta functions and kneading determinants: A linear algebra point of view ⋮ Sharp determinants ⋮ Hausdorff dimension of a Cantor set on \(\mathbb{R}^1\) ⋮ Computation of symbolic dynamics for one-dimensional maps ⋮ Pseudo random sequences generated by piecewise linear maps from the view point of dynamical system ⋮ On random numbers generated by Dynamical systems ⋮ On the Fredholm determination of a piecewise linear transformation ⋮ On the density function of an invariant measure under one-dimensional Bernoulli transformations ⋮ Hausdorff dimension of trees generated by piecewise linear transformations

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