For conformal graph directed Markov systems, we construct a spectral triple from which one can recover the associated conformal measure via a Dixmier trace. As a particular case, we can recover the Patterson-Sullivan measure for a class of Kleinian groups
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point...
In this paper, we study exhaustions, referred to as rho-restrictions, of arbitrary nonelementary Kle...
Let X = G/K be a symmetric space of noncompact type, F a Zariski-dense subgroup of G with critical e...
In this paper we extend the theory of conformal graph directed Markov systems to what we call confor...
Abstract. Conformal measures are measures satisfying the transformation rule (1) for elements of a K...
In this article we consider the general setting of conformal graph directed Markov systems modeled b...
1. Patterson-Sullivan measures and geometry of limit sets of geometrically finit
In the first part of this thesis we transfer a result of Guillopé et al. concerning the number of z...
For polynomials f on the complex plane with a dendrite Julia set we study invariant probability meas...
Abstract. For polynomials f on the complex plane with a dendrite Julia set we study invariant probab...
We examine several characteristics of conformal maps that resemble the variance of a Gaussian: asymp...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
We study the h-conformal measure for parabolic rational maps, where h denotes the Hausdorff dimensio...
International audienceWe consider random dynamical systems such as groups of conformal transformatio...
We characterise fractal sets arising from conformal iterated function systems and conformal graph di...
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point...
In this paper, we study exhaustions, referred to as rho-restrictions, of arbitrary nonelementary Kle...
Let X = G/K be a symmetric space of noncompact type, F a Zariski-dense subgroup of G with critical e...
In this paper we extend the theory of conformal graph directed Markov systems to what we call confor...
Abstract. Conformal measures are measures satisfying the transformation rule (1) for elements of a K...
In this article we consider the general setting of conformal graph directed Markov systems modeled b...
1. Patterson-Sullivan measures and geometry of limit sets of geometrically finit
In the first part of this thesis we transfer a result of Guillopé et al. concerning the number of z...
For polynomials f on the complex plane with a dendrite Julia set we study invariant probability meas...
Abstract. For polynomials f on the complex plane with a dendrite Julia set we study invariant probab...
We examine several characteristics of conformal maps that resemble the variance of a Gaussian: asymp...
Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $\Gamm...
We study the h-conformal measure for parabolic rational maps, where h denotes the Hausdorff dimensio...
International audienceWe consider random dynamical systems such as groups of conformal transformatio...
We characterise fractal sets arising from conformal iterated function systems and conformal graph di...
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point...
In this paper, we study exhaustions, referred to as rho-restrictions, of arbitrary nonelementary Kle...
Let X = G/K be a symmetric space of noncompact type, F a Zariski-dense subgroup of G with critical e...