On the non-monotonicity of entropy for a class of real quadratic rational maps
IF 0.7
1区 数学
Q2 MATHEMATICS
引用次数: 5
Abstract
We prove that the entropy function on the moduli space of real quadratic rational maps is not monotonic by exhibiting a continuum of disconnected level sets. This entropy behavior is in stark contrast with the case of polynomial maps, and establishes a conjecture on the failure of monotonicity for bimodal real quadratic rational maps of shape \begin{document}$ (+-+) $\end{document} which was posed in [ 10 ] based on experimental evidence.关于一类实二次有理映射的熵的非单调性
We prove that the entropy function on the moduli space of real quadratic rational maps is not monotonic by exhibiting a continuum of disconnected level sets. This entropy behavior is in stark contrast with the case of polynomial maps, and establishes a conjecture on the failure of monotonicity for bimodal real quadratic rational maps of shape \begin{document}$ (+-+) $\end{document} which was posed in [ 10 ] based on experimental evidence.
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
11
审稿时长
>12 weeks
期刊介绍：
The Journal of Modern Dynamics (JMD) is dedicated to publishing research articles in active and promising areas in the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including:
Number theory
Symplectic geometry
Differential geometry
Rigidity
Quantum chaos
Teichmüller theory
Geometric group theory
Harmonic analysis on manifolds.
The journal is published by the American Institute of Mathematical Sciences (AIMS) with the support of the Anatole Katok Center for Dynamical Systems and Geometry at the Pennsylvania State University.
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