Dynamic Tessellations Associated with Cubic Polynomials
[HYBRID WORKSHOP] Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables February 02, 2022 - February 04, 2022
Location: SLMath: Online/Virtual
cubic polynomials
parameter rays
dynamic rays
tessellations
escape regions
35R05 - PDEs with low regular coefficients and/or low regular data
28A15 - Abstract differentiation theory, differentiation of set functions [See also 26A24]
Dynamic Tessellations Associated With Cubic Polynomials
We study cubic polynomial maps from $\C$ to $\C$ with a critical orbit of period $p$. For each $p>0$ the space of conjugacy classes of such maps forms a smooth Riemann surface with a smooth compactification $\overline S_p$. For each $q>0$ I will describe a dynamically defined tessellation of $\overline S_p$. Each face of this tessellation corresponds to one particular behavior for periodic orbits of period $q$. (Joint work with John Milnor.)
Dynamic Tessellations Associated with Cubic Polynomials
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Dynamic Tessellations Associated With Cubic Polynomials
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