ESCAPING POINTS OF EXPONENTIAL MAPS
From MaRDI portal
Publication:4467838
DOI10.1112/S0024610702003897zbMath1042.30012WikidataQ59902295 ScholiaQ59902295MaRDI QIDQ4467838
Johannes Zimmer, Dierk Schleicher
Publication date: 10 June 2004
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
Related Items (48)
The dynamics of semigroups of transcendental entire functions. II ⋮ On questions of Fatou and Eremenko ⋮ Extended escaping set for meromorphic functions outside a countable set of transcendental singularities ⋮ Triviality of fibers for Misiurewicz parameters in the exponential family ⋮ Topological dynamics of cosine maps ⋮ Joining polynomial and exponential combinatorics for some entire maps ⋮ Trees and hairs for some hyperbolic entire maps of finite order ⋮ Non-escaping endpoints do not explode ⋮ The dynamical fine structure of iterated cosine maps and a dimension paradox ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ On the dimension of points which escape to infinity at given rate under exponential iteration ⋮ A new type of non-landing exponential rays ⋮ Iteration of quasiregular mappings ⋮ Infinite-dimensional Thurston theory and transcendental dynamics I: infinite-legged spiders ⋮ Brushing the hairs of transcendental entire functions ⋮ Hausdorff measure of hairs without endpoints in the exponential family ⋮ Geometrically finite transcendental entire functions ⋮ Homotopy Hubbard trees for post-singularly finite exponential maps ⋮ Local connectivity of the Mandelbrot set at some satellite parameters of bounded type ⋮ A model for boundary dynamics of Baker domains ⋮ Dynamic rays of bounded-type entire functions ⋮ A landing theorem for entire functions with bounded post-singular sets ⋮ Hausdorff measure of the escaping parameter without endpoints is zero for exponential family ⋮ Hausdorff dimension of hairs and ends for entire maps of finite order ⋮ Repelling periodic points and landing of rays for post-singularly bounded exponential maps ⋮ A converse landing theorem in parameter spaces ⋮ On the connectivity of the escaping set for complex exponential Misiurewicz parameters ⋮ The escaping set of the exponential ⋮ Results on escaping set of an entire function and its composition ⋮ On the accumulation sets of exponential rays ⋮ Dynamic rays of bounded-type transcendental self-maps of the punctured plane ⋮ Slow escaping points of meromorphic functions ⋮ Are Devaney hairs fast escaping? ⋮ Escaping endpoints explode ⋮ On the set where the iterates of an entire function are neither escaping nor bounded ⋮ Classification of escaping exponential maps ⋮ Hausdorff dimension and conformal measures of Feigenbaum Julia sets ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Bifurcations in the space of exponential maps ⋮ Cantor bouquets in spiders’ webs ⋮ Exponential Thurston maps and limits of quadratic differentials ⋮ Parameter rays in the space of exponential maps ⋮ On the differentiability of hairs for Zorich maps ⋮ A landing theorem for periodic rays of exponential maps ⋮ Criniferous entire maps with absorbing Cantor bouquets ⋮ Combinatorics of criniferous entire maps with escaping critical values ⋮ Dynamics of Julia Sets for Complex Exponential Functions ⋮ The Hausdorff dimension of directional edge escaping points set
This page was built for publication: ESCAPING POINTS OF EXPONENTIAL MAPS
