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19 Publications visible to you, out of a total of 19
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

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

Finding self-similar behavior in quantum many-body dynamics via persistent homology

Abstract

Not specified

Authors: Daniel Spitz, Jürgen Berges, Markus Oberthaler, Anna Wienhard

Date Published: 2021

Publication Type: Journal

Flows on the $$\mathbf{PGL(V)}$$-Hitchin Component

Abstract (Expand)

In this article we define new flows on the Hitchin components for PSL(n,R). Special examples of these flows are associated to simple closed curves on the surface and give generalized twist flows. Other … examples, so called eruption flows, are associated to pair of pants in S and capture new phenomena which are not present in the case when n = 2. We determine a global coordinate system on the Hitchin component. Using the computation of the Goldman symplectic form on the Hitchin component, that is developed by two of the authors in a companion paper to this article (Sun and Zhang in The Goldman symplectic form on the PGL(V)-Hitchin component, 2017. arXiv:1709.03589), this gives a global Darboux coordinate system on the Hitchin component.

Authors: Zhe Sun, Anna Wienhard, Tengren Zhang

Date Published: 1st Apr 2020

Publication Type: Journal

Noncommutative coordinates for symplectic representations

Abstract (Expand)

We introduce coordinates on the space of Lagrangian decorated and framed representations of the fundamental group of a surface with punctures into the symplectic group Sp(2n,R). These coordinates provide … a non-commutative generalization of the parametrizations of the spaces of representations into \mathrmSL(2,R) given by Thurston, Penner, and Fock-Goncharov. With these coordinates, the space of framed symplectic representations provides a geometric realization of the non-commutative cluster algebras introduced by Berenstein-Retakh. The locus of positive coordinates maps to the space of decorated maximal representations. We use this to determine the homotopy type of the space of decorated maximal representations, and its homeomorphism type when n=2.

Authors: Daniele Alessandrini, Olivier Guichard, Evgenii Rogozinnikov, Anna Wienhard

Date Published: 2019

Publication Type: Misc

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

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