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11 Publications visible to you, out of a total of 11
Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matrices.

Abstract

Not specified

Authors: Federico López, Beatrice Pozzetti, Steve Trettel, Michael Strube, Anna Wienhard

Date Published: 6th Dec 2021

Publication Type: InProceedings

A collar lemma for partially hyperconvex surface group representations

Abstract

Not specified

Authors: Jonas Beyrer, Beatrice Pozzetti

Date Published: 15th Jul 2021

Publication Type: Journal

Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach

Abstract

Not specified

Authors: Federico López, Beatrice Pozzetti, Steve Trettel, Michael Strube, Anna Wienhard

Date Published: 2021

Publication Type: InProceedings

Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach

Abstract

Not specified

Authors: Federico Lopez, Beatrice Pozzetti, Steve Trettel, Michael Strube, Anna Wienhard

Date Published: 2021

Publication Type: InProceedings

Anosov representations with Lipschitz limit set

Abstract (Expand)

We study Anosov representation for which the image of the boundary map is the graph of a Lipschitz function, and show that the orbit growth rate with respect to an explicit linear function, the unstable … Jacobian, is integral. Several applications to the orbit growth rate in the symmetric space are provided.

Authors: Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard

Date Published: 2019

Publication Type: Misc

Conformality for a robust class of non-conformal attractors

Abstract (Expand)

In this paper we investigate the Hausdorff dimension of limit sets of Anosov representations. In this context we revisit and extend the framework of hyperconvex representations and establish a convergence … property for them, analogue to a differentiability property. As an application of this convergence, we prove that the Hausdorff dimension of the limit set of a hyperconvex representation is equal to a suitably chosen critical exponent. In the appendix, in collaboration with M. Bridgeman, we extend a classical result on the Hessian of the Hausdorff dimension on purely imaginary directions.

Authors: Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard

Date Published: 2019

Publication Type: Misc

Currents, Systoles, and Compactifications of Character Varieties

Abstract (Expand)

We study the Thurston–Parreau boundary both of the Hitchin and of the maximal character varieties and determine therein an open set of discontinuity for the action of the mapping class group. This … result is obtained as consequence of a canonical decomposition of a geodesic current on a surface of finite type arising from a topological decomposition of the surface along special geodesics. We show that each component either is associated to a measured lamination or has positive systole. For a current with positive systole, we show that the intersection function on the set of closed curves is bi-Lipschitz equivalent to the length function with respect to a hyperbolic metric. The results of this paper on currents generalise the ones in arXiv:1710.07060v1 to the case of surfaces of finite area with geodesic boundary. Concerning the Thurston–Parreau boundary we improve on the results in arXiv:1710.07060v1 by showing that for higher rank groups, said open set of discontinuity is not empty. We give also explicit examples in the case of the \SL(3,\mathbb R)-Hitchin component.

Authors: M. Burger, A. Iozzi, A. Parreau, M. B. Pozzetti

Date Published: 2019

Publication Type: Misc

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