24 citations · 75 across the 31 of their papers we have counts for
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math.DS2010★ 7 cited
Julia sets of uniformly quasiregular mappings are uniformly perfect
Alastair Fletcher, Daniel A. Nicks
It is well-known that the Julia set J(f) of a rational map is uniformly perfect; that is, every ring domain which separates J(f) has bounded modulus, with the bound depending only…
math.CV2010★ 2 cited
Decomposing diffeomorphisms of the sphere
Alastair Fletcher, Vladimir Markovic
We prove that any diffeomorphism of the sphere S^n to itself can be decomposed into bi-Lipschitz mappings of small isometric distortion and which move points a small amount in the…
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,…