6 citations · 14 across the 6 of their papers we have counts for
6 papers
Topology of Fatou components for endomorphisms of CP^k: Linking with the Green's Current
Suzanne Lynch Hruska, Roland K. W. Roeder
Little is known about the global topology of the Fatou set for holomorphic endomorphisms , when . Classical theory describes …
Axiom A polynomial skew products of C^2 and their postcritical sets
Laura DeMarco, Suzanne Lynch Hruska
A polynomial skew product of C^2 is a map of the form f(z,w) = (p(z), q(z,w)), where p and q are polynomials, such that f is regular of degree d >= 2. For polynomial maps of C, hyp…
Rigorous numerical studies of the dynamics of polynomial skew products of C^2
Suzanne Lynch Hruska
For the class of polynomial skew products of C^2, we describe a rigorous computer algorithm which, for a given map F, will (1) build a model of the dynamics of F on its chain recur…
Constructing an expanding metric for dynamical systems in one complex variable
Suzanne Lynch Hruska
We describe a rigorous computer algorithm for attempting to construct an explicit, discretized metric for which a complex polynomial map is expansive on a given neighborhood of its…
A numerical method for constructing the hyperbolic structure of complex Henon mappings
Suzanne Lynch Hruska
For complex parameters a,c, we consider the Henon mapping H_{a,c}: C^2 -> C^2 given by (x,y) -> (x^2 +c -ay, x), and its Julia set, J. In this paper, we describe a rigorous compute…
Rigorous numerical models for the dynamics of complex Henon mappings on their chain recurrent sets
Suzanne Lynch Hruska
We describe a rigorous and efficient computer algorithm for building a model of the dynamics of a polynomial diffeomorphism of C^2 on its chain recurrent set, and for sorting point…