Topological entropy of quadratic polynomials and dimension of sections of the Mandelbrot set
نویسندگان
چکیده
منابع مشابه
Topological Entropy of Quadratic Polynomials and Dimension of Sections of the Mandelbrot Set
A fundamental theme in holomorphic dynamics is that the local geometry of parameter space (e.g. the Mandelbrot set) near a parameter reflects the geometry of the Julia set, hence ultimately the dynamical properties, of the corresponding dynamical system. We establish a new instance of this phenomenon in terms of entropy. Indeed, we prove an “entropy formula” relating the entropy of a polynomial...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2015
ISSN: 0001-8708
DOI: 10.1016/j.aim.2014.12.033