The dimension of the maximal measure for a polynomial map

From MaRDI portal
Publication:801183

DOI10.2307/2007044zbMath0551.30021OpenAlexW2011440996MaRDI QIDQ801183

Anthony Manning

Publication date: 1984

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007044




Related Items (31)

Area distortion of quasiconformal mappingsEquilibrium measures on saddle sets of holomorphic maps on \(\mathbb{P }^2\)Stability and bifurcations in projective holomorphic dynamicsHausdorff dimension of harmonic measures in the planeA note on \(\delta\)-equilibrium measures for rational mapsDifferentiability with respect to parameters of average values in probabilistic contracting dynamical systemsThermodynamic formalism for invariant measures in iterated function systems with overlapsHarmonic measure and polynomial Julia setsRamification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$Dynamics of polynomial-like mappingsTHE PARAMETER SPACE OF A QUADRATIC FAMILY OF POLYNOMIAL MAPS OF ℂ2Hausdorff dimension of Julia sets in the logistic familyThe complex potential generated by the maximal measure for a family of rational maps.Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.Equidistribution of critical points of the multipliers in the quadratic familyThermodynamics, dimension and the Weil-Petersson metricDimension, recurrence via entropy and Lyapunov exponents for map with singularitiesHarmonic Measure Versus Hausdorff Measures on Repellers for Holomorphic MapsPolynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measurePolynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currentsDimension of elliptic harmonic measure of snowspheresOrthogonality and the Hausdorff Dimension of the Maximal MeasureMeasures and dimensions in conformal dynamicsRiemann map and holomorphic dynamicsPolynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponentsPointwise dimension, entropy and Lyapunov exponents for $C^{1}$ mapsNon-vanishing derivatives of Lyapunov exponents and the pressure functionHausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic mapDimension spectra and a mathematical model for phase transitionSpectral decomposition and fractal eigenvectors for a class of piecewise linear mapsFractal basin boundaries




This page was built for publication: The dimension of the maximal measure for a polynomial map