Fredholm determinant for piecewise monotonic transformations
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Publication:1802985
zbMath0791.58076MaRDI QIDQ1802985
Publication date: 29 June 1993
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Perron-Frobenius operatorFredholm determinantpiecewise expanding transformationRuelle-Artin- Mazur zeta function
Ergodic theorems, spectral theory, Markov operators (37A30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)
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Sharp determinants ⋮ Hausdorff dimension of a Cantor set on \(\mathbb{R}^1\) ⋮ Pseudo random sequences generated by piecewise linear maps from the view point of dynamical system ⋮ On random numbers generated by Dynamical systems ⋮ 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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