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On unimodal maps with critical order 2 + ε

100%

Li S., Shen W.

Fundamenta Mathematicae

2006

tom 192

nr 1

77-86

It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.

Real $C^k$ Koebe principle

100%

Shen W., Todd M.

Fundamenta Mathematicae

2005

tom 185

nr 1

61-69

We prove a $C^k$ version of the real Koebe principle for interval (or circle) maps with non-flat critical points.

Dimensions of the Julia sets of rational maps with the backward contraction property

100%

Li H., Shen W.

Fundamenta Mathematicae

2008

tom 198

nr 2

165-176

Consider a rational map f on the Riemann sphere of degree at least 2 which has no parabolic periodic points. Assuming that f has Rivera-Letelier's backward contraction property with an arbitrarily large constant, we show that the upper box dimension of the Julia set J(f) is equal to its hyperbolic dimension, by investigating the properties of conformal measures on the Julia set.

Ograniczanie wyników

3 Fundamenta Mathematicae

3 Shen W.

1 Li H.

1 Li S.

1 Todd M.

1 2008

1 2006

1 2005

Wyniki wyszukiwania

On unimodal maps with critical order 2 + ε

Real $C^k$ Koebe principle

Dimensions of the Julia sets of rational maps with the backward contraction property