Topological Semiconjugacy of Piecewise Monotone Maps of the Interval

Topological transitivity for expanding p

Topological transitivity for expanding piecewise monotonic maps on the interval

✍ P. Raith 📂 Article 📅 1999 🏛 Springer 🌐 English ⚖ 328 KB

Computing the Topological Entropy for Pi

Computing the Topological Entropy for Piecewise Monotonic Maps on the Interval

✍ Thomas Steinberger 📂 Article 📅 1999 🏛 Springer 🌐 English ⚖ 218 KB

Dynamical zeta functions for piecewise m

Dynamical zeta functions for piecewise monotone maps of the interval

✍ David Ruelle 📂 Library 📅 1994 🏛 American Mathematical Society 🌐 English ⚖ 570 KB

Consider a space $M$, a map $f:M\to M$, and a function $g:M \to {\mathbb C}$. The formal power series $\zeta (z) = \exp \sum ^\infty _{m=1} \frac {z^m}{m} \sum _{x \in \mathrm {Fix}\,f^m} \prod ^{m-1}_{k=0} g (f^kx)$ yields an example of a dynamical zeta function. Such functions have unexpec

Singular perturbations of piecewise mono

Singular perturbations of piecewise monotonic maps of the interval

✍ Abraham Boyarsky 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 350 KB

Iterates of Piecewise Monotone Mappings

Iterates of Piecewise Monotone Mappings on an Interval

✍ Chris Preston (auth.) 📂 Library 📅 1988 🏛 Springer 🌐 English ⚖ 1011 KB

Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (

Iterates of Piecewise Monotone Mappings

Iterates of Piecewise Monotone Mappings on an Interval

✍ Chris Preston 📂 Library 📅 1988 🏛 Springer 🌐 English ⚖ 746 KB

Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (