activity
20162019
collaborators

6 papers

math.MG2019

Radial projections along chains

Laurent Dufloux

We state strong Marstrand properties for two related families of fractals in Heisenberg groups : limit sets of Schottky groups in good position, and attractors of se…

math.PR2018

Projections of Poisson cut-outs in the Heisenberg group and the visual -sphere

Laurent Dufloux, Ville Suomala

We study projectional properties of Poisson cut-out sets in non-Euclidean spaces. In the first Heisenbeg group, endowed with the Korányi metric, we show that the Hausdorff dime…

math.MG2017

Linear foliations of complex spheres I. Chains

Laurent Dufloux

We provide coordinate-free versions of the classical projection Theorem of Marstrand-Kaufman-Mattila. This allows us to generalize this Theorem to the complex setting; in restricti…

math.DS2017

The case of equality in the dichotomy of Mohammadi-Oh

Laurent Dufloux

If and is a convex-cocompact Zariski-dense discrete subgroup of such that where is an integer, , we show that…

math.DS2016

Projections of Patterson-Sullivan measures and the Mohammadi-Oh dichotomy

Laurent Dufloux

Let be some discrete subgroup of with finite Bowen-Margulis-Sullivan measure. We study the dynamics of the Bowen-Margulis-Sullivan measure with…

math.DS2016

Hausdorff dimension of limit sets

Laurent Dufloux

We exhibit a class of Schottky subgroups of () which we call well-positioned and show that the Hausdorff dimension of the limit set associated wi…