3 problems

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Conjecture on one-dimensional Möbius presentations of Cha–Nguyen–Tauber systems
The Cha–Nguyen–Tauber procedure associates a solution generating system to a homogeneous quadratic equation over $\mathbb{R}^3$ . A 1-D piecewise Möbius transformation is a one-dime…
Conjectureopendynamical-systems ergodic-theory piecewise-mobius-transformationsarXiv posted 2 days ago
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Structural stability characterization for piecewise Möbius transformations
Let $F$ be a piecewise Möbius transformation with component transformations $f_k$ , and let structural stability, hyperbolicity, and $b1$ -expansion have their meanings defined in th…
Conjectureopendynamical-systems piecewise-mobius-transformations structural-stabilityarXiv posted 2 days ago
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Structural stability implies hyperbolicity and alpha-expansion for piecewise Möbius transformations
Let $F$ be a piecewise Möbius transformation (PMT), and let structural stability, hyperbolicity, and $b1$ -expansion have their meanings defined in the paper. Structural-stability c…
Conjectureopendynamical-systems piecewise-mobius-transformations structural-stabilityarXiv posted 2 days ago

Conjecture on one-dimensional Möbius presentations of Cha–Nguyen–Tauber systems