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Deforming convex real projective structures

Abstract (Expand)

Let S be a closed, connected, orientable surface of genus at least 2, and let C(S) denote the deformation space of convex real projective structures S. In this article, we introduce two new flows on … C(S), which we call the internal bulging flow and the eruption flow. These are geometrically defined flows associated to each pair of pants in a pants decomposition on S that deform the internal parameters. We show that the eruption flows, together with the generalized twist flows about the pants curves, give rise to a half-dimensional family of commuting flows on C(S).

Authors: Anna Wienhard, Tengren Zhang

Date Published: 1st Feb 2018

Publication Type: Journal

Mapping class group orbits of curves with self-intersections

Abstract

Not specified

Authors: Patricia Cahn, Federica Fanoni, Bram Petri

Date Published: 1st Feb 2018

Publication Type: Journal

Entropy, minimal surfaces and negatively curved manifolds

Abstract (Expand)

Taubes [Minimal surfaces in germs of hyperbolic 3-manifolds. Proceedings of the Casson Fest, Geom. Topol. Monogr. 7 (2004), 69–100 (electronic)] introduced the space of minimal hyperbolic germs with … elements consisting of the first and second fundamental form of an equivariant immersed minimal disk in hyperbolic 3-space. Herein, we initiate a further study of this space by studying the behavior of a dynamically defined function which records the entropy of the geodesic flow on the associated Riemannian surface. We provide a useful estimate on this function which, in particular, yields a new proof of Bowen’s theorem on the rigidity of the Hausdorff dimension of the limit set of quasi-Fuchsian groups. These follow from new lower bounds on the Hausdorff dimension of the limit set which allow us to give a quantitative version of Bowen’s rigidity theorem. To demonstrate the strength of the techniques, these results are generalized to convex-cocompact surface groups acting on n-dimensional \mathrmCAT(-1) Riemannian manifolds.

Author: ANDREW SANDERS

Date Published: 1st Feb 2018

Publication Type: Journal

Convective–reactive nucleosynthesis of K, Sc, Cl and p-process isotopes in O–C shell mergers

Abstract

Not specified

Authors: C Ritter, R Andrassy, B Côté, F Herwig, P R Woodward, M Pignatari, S Jones

Date Published: 1st Feb 2018

Publication Type: Journal

SABIO-RK: an updated resource for manually curated biochemical reaction kinetics

Abstract

Not specified

Authors: Ulrike Wittig, Maja Rey, Andreas Weidemann, Renate Kania, Wolfgang Müller

Date Published: 4th Jan 2018

Publication Type: Journal

Photometric redshift estimation via deep learning. Generalized and pre-classification-less, image based, fully probabilistic redshifts

Abstract

Not specified

Authors: A. D’Isanto, K. L. Polsterer

Date Published: 2018

Publication Type: Journal

OpenGL® API-Based Analysis of Large Datasets in a Cloud Environment

Abstract

Not specified

Authors: Wolfgang Mexner, Matthias Bonn, Andreas Kopmann, Viktor Mauch, Doris Ressmann, Suren A. Chilingaryan, Nicholas Tan Jerome, Thomas Van De Kamp, Vincent Heuveline, Philipp Lösel, et al.

Date Published: 2018

Publication Type: Journal

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