Add to ORKGAbstract. The hyperbolic and Hausdorff dimensions are shown to coincide for C2 maps without recurrent critical points. The maps may have parabolic periodic points. The Julia set for certain such maps may have hyperbolic dimension equal to 1 but Lebesgue measure equal to 0. AMS classification scheme numbers: 37E05 Submitted to: Nonlinearity 1
Abstract. We present a new algorithm for efficiently computing the Hausdorff dimension of sets X inv...
We will show that if a semigroup of rational functions on the Riemann sphere is finitely generated, ...
Abstract. In this paper we discuss dimension-theoretical properties of rational maps on the Riemann ...
If J is the Julia set of a parabolic rational map having Hausdorff dimension h 0 or 0 for some expli...
We prove that for meromorphic maps with logarithmic tracts (in particular, for tran-scendental maps ...
We study how the dimension of the invariant set of an interval map with a hole depends on the size o...
this article we consider hyperbolic measures which are invariant for endomorphisms and show the corr...
It is known that, if $f$ is a hyperbolic rational function, then the Hausdorff, packing and box dime...
Abstract. In this note we derive an upper bound for the Hausdorff dimension of the stable set of a h...
AbstractWe obtain two sufficient conditions for an interval self-map to have a chaotic set with posi...
Abstract. Let T: [0, 1] → [0,1] be an expanding piecewise monotonic map, and consider the set R of ...
We construct Feigenbaum quadratic-like maps with a Julia set of positive Lebesgue measure. Indeed, i...
AbstractWe consider the exponential maps ƒλ : ℂ → ℂ defined by the formula ƒλ (z) = λez, λ(0,1/e]. L...
We consider the class of transcendental meromorphic functions which have at least one pole and are n...
It is known that, if $f$ is a hyperbolic rational function, then the Hausdorff, packing and box dime...
Abstract. We present a new algorithm for efficiently computing the Hausdorff dimension of sets X inv...
We will show that if a semigroup of rational functions on the Riemann sphere is finitely generated, ...
Abstract. In this paper we discuss dimension-theoretical properties of rational maps on the Riemann ...
If J is the Julia set of a parabolic rational map having Hausdorff dimension h 0 or 0 for some expli...
We prove that for meromorphic maps with logarithmic tracts (in particular, for tran-scendental maps ...
We study how the dimension of the invariant set of an interval map with a hole depends on the size o...
this article we consider hyperbolic measures which are invariant for endomorphisms and show the corr...
It is known that, if $f$ is a hyperbolic rational function, then the Hausdorff, packing and box dime...
Abstract. In this note we derive an upper bound for the Hausdorff dimension of the stable set of a h...
AbstractWe obtain two sufficient conditions for an interval self-map to have a chaotic set with posi...
Abstract. Let T: [0, 1] → [0,1] be an expanding piecewise monotonic map, and consider the set R of ...
We construct Feigenbaum quadratic-like maps with a Julia set of positive Lebesgue measure. Indeed, i...
AbstractWe consider the exponential maps ƒλ : ℂ → ℂ defined by the formula ƒλ (z) = λez, λ(0,1/e]. L...
We consider the class of transcendental meromorphic functions which have at least one pole and are n...
It is known that, if $f$ is a hyperbolic rational function, then the Hausdorff, packing and box dime...
Abstract. We present a new algorithm for efficiently computing the Hausdorff dimension of sets X inv...
We will show that if a semigroup of rational functions on the Riemann sphere is finitely generated, ...
Abstract. In this paper we discuss dimension-theoretical properties of rational maps on the Riemann ...