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math.DS2015
Epicycloids and Blaschke products
Chunlei Cao, Alastair Fletcher, Zhuan Ye
It is well known that the bounding curve of the central hyperbolic component of the Multibrot set in the parameter space of unicritical degree polynomials is an epicycloid with…
math.DS2010
Quasiregular mappings of polynomial type in R^2
Alastair Fletcher, Dan Goodman
Complex dynamics deals with the iteration of holomorphic functions. As is well- known, the first functions to be studied which gave non-trivial dynamics were quadratic polynomials,…