In previous work, a class of noninvertible topological dynamical systems $f: X \to X$ was introduced and studied; we called these {\em topologically coarse expanding conformal} systems. To such a system is naturally associated a preferred quasisymmetry (indeed, snowflake) class of metrics in which arbitrary iterates distort roundness and ratios of diameters by controlled amounts; we called this {\em metrically coarse expanding conformal}. In this note we extend the class of examples to several more familiar settings, give applications of our general methods, and discuss implications for the computation of conformal dimension
. In this paper we introduce and explore conformal parabolic iterated function systems. We define an...
Suppose $X$ is a compact connected metric space and $f: X \to X$ is metrically cxc in the sense of H...
Semihyperbolic rational maps of the Riemann sphere form a natural class of conformal dynamical syste...
In previous work, a class of noninvertible topological dynamical systems $f: X \to X$ was introduced...
International audienceThe aim of this course is to present methods coming from quasiconformal geomet...
This thesis is an expository investigation of the conformal iterated function system (CIFS) approach...
Revised and corrected version.International audienceBuilding on the dictionary between Kleinian grou...
Minor revisions are made.International audienceLet $f: S^2 \to S^2$ be an expanding branched coverin...
Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lo...
AbstractLet f:S2→S2 be a postcritically finite expanding branched covering map of the sphere to itse...
We investigate a quasisymmetrically invariant counterpart of the topological Hausdorff dimension of ...
Updated version.International audienceWe continue the study of non-invertible topological dynamical ...
This thesis consists of an introductory chapter followed by five papers. In the first paper, expandi...
The paper starts with an appropriate version of the bounded distortion theorem. We show that for a r...
This paper is devoted to the study of different types of twisting points of conformal maps. We defin...
. In this paper we introduce and explore conformal parabolic iterated function systems. We define an...
Suppose $X$ is a compact connected metric space and $f: X \to X$ is metrically cxc in the sense of H...
Semihyperbolic rational maps of the Riemann sphere form a natural class of conformal dynamical syste...
In previous work, a class of noninvertible topological dynamical systems $f: X \to X$ was introduced...
International audienceThe aim of this course is to present methods coming from quasiconformal geomet...
This thesis is an expository investigation of the conformal iterated function system (CIFS) approach...
Revised and corrected version.International audienceBuilding on the dictionary between Kleinian grou...
Minor revisions are made.International audienceLet $f: S^2 \to S^2$ be an expanding branched coverin...
Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lo...
AbstractLet f:S2→S2 be a postcritically finite expanding branched covering map of the sphere to itse...
We investigate a quasisymmetrically invariant counterpart of the topological Hausdorff dimension of ...
Updated version.International audienceWe continue the study of non-invertible topological dynamical ...
This thesis consists of an introductory chapter followed by five papers. In the first paper, expandi...
The paper starts with an appropriate version of the bounded distortion theorem. We show that for a r...
This paper is devoted to the study of different types of twisting points of conformal maps. We defin...
. In this paper we introduce and explore conformal parabolic iterated function systems. We define an...
Suppose $X$ is a compact connected metric space and $f: X \to X$ is metrically cxc in the sense of H...
Semihyperbolic rational maps of the Riemann sphere form a natural class of conformal dynamical syste...