Let f be a real rational function with all critical points on the extended real axis and of even order. Then: (1) f carries no invariant line field on the Julia set unless it is doubly covered by an integral torus endomorphism (a Lattés example); and (2) f|J(f) has only finitely many ergodic components
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
We show that, if a meromorphic function of degree at most four on a real algebraic curve of an arbit...
Let $ f$ be a rational function such that the multipliers of all repelling periodic points are real....
We study how the orbits of the singularities of the inverse of a meromorphic function prescribe the ...
Let f : C -> (C) over cap be a transcendental meromorphic function. Suppose that the finite part P(f...
AbstractWe consider maps in the tangent family for which the asymptotic values are eventually mapped...
In this thesis we study the topological properties of the Julia sets generated by iterating a single...
Let f be an infinitely-renormalizable quadratic polynomial and J_\infty be the intersection of forwa...
The pressure function p(t) of a non-recurrent map is real analytic on some interval (0,t_*) with t_*...
This thesis describes the chaotic behavior of inner functions in the unit disk and in the upper half...
Let f(z)=z^2+c be an infinitely renormalizable quadratic polynomial and J_\infty be the intersection...
This survey collect basic results concerning fractal and ergodic properties of Julia sets of rationa...
. We show that the set of conical points of a rational function of the Riemann sphere supports at mo...
Abstract. Let T: J → J be an expanding rational map of the Riemann sphere acting on its Julia set J ...
AbstractJulia sets or F sets, have been of considerable interest in current research. In this paper ...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
We show that, if a meromorphic function of degree at most four on a real algebraic curve of an arbit...
Let $ f$ be a rational function such that the multipliers of all repelling periodic points are real....
We study how the orbits of the singularities of the inverse of a meromorphic function prescribe the ...
Let f : C -> (C) over cap be a transcendental meromorphic function. Suppose that the finite part P(f...
AbstractWe consider maps in the tangent family for which the asymptotic values are eventually mapped...
In this thesis we study the topological properties of the Julia sets generated by iterating a single...
Let f be an infinitely-renormalizable quadratic polynomial and J_\infty be the intersection of forwa...
The pressure function p(t) of a non-recurrent map is real analytic on some interval (0,t_*) with t_*...
This thesis describes the chaotic behavior of inner functions in the unit disk and in the upper half...
Let f(z)=z^2+c be an infinitely renormalizable quadratic polynomial and J_\infty be the intersection...
This survey collect basic results concerning fractal and ergodic properties of Julia sets of rationa...
. We show that the set of conical points of a rational function of the Riemann sphere supports at mo...
Abstract. Let T: J → J be an expanding rational map of the Riemann sphere acting on its Julia set J ...
AbstractJulia sets or F sets, have been of considerable interest in current research. In this paper ...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.A complex analytic map f alway...
We show that, if a meromorphic function of degree at most four on a real algebraic curve of an arbit...
Let $ f$ be a rational function such that the multipliers of all repelling periodic points are real....
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