Giuseppe Martone

collaborators

4 papers

math.GT2026

$d$ -pleated surfaces and their shear-bend coordinates

Sara Maloni, Giuseppe Martone, Filippo Mazzoli +1

In this article, we single out representations of surface groups into $PSL_{d} (C)$ which generalize the well-studied family of pleated surfaces into $\mathsf{PSL}_2…

math.GT2026

Holmes-Thompson area of inscribed polygons and convex projective structures

Xenia Flamm, Giuseppe Martone

Positive tuples of complete flags in $R^{3}$ define two convex polygons in $RP^{2}$ , one inscribed in the other. We are interested in relating the Holmes-Thompson are…

math.DS2025

Correlation Number for Potentials with Entropy Gaps and Cusped Hitchin Representations

Lien-Yung Kao, Giuseppe Martone

We introduce a correlation number for two strictly positive, locally HÃ¶lder continuous, independent potentials with strong entropy gaps at infinity on a topologically mixing count…

math.GT2025

Topology of the space of $d$ -pleated surfaces

Sara Maloni, Giuseppe Martone, Filippo Mazzoli +1

Given a maximal geodesic lamination $I^»$ on a closed oriented surface $S$ of genus $g$ , the space of $d$ -pleated surfaces with pleating locus $I^»$ is an open subset of $\mathrm{Hom…

d-pleated surfaces and their shear-bend coordinates

Holmes-Thompson area of inscribed polygons and convex projective structures

Correlation Number for Potentials with Entropy Gaps and Cusped Hitchin Representations

Topology of the space of d-pleated surfaces

$d$ -pleated surfaces and their shear-bend coordinates

Topology of the space of $d$ -pleated surfaces