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A structure theorem for geodesic currents and length spectrum compactifications

Abstract (Expand)

We find 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 bilipschitz equivalent to the length function with respect to a hyperbolic metric. We show that the subset of currents with positive systole is open and that the mapping class group acts properly discontinuously on it. As an application, we obtain in the case of compact surfaces a structure theorem on the length functions appearing in the length spectrum compactification 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.

Authors: Marc Burger, Alessandra Iozzi, Anne Parreau, Maria Beatrice Pozzetti

Date Published: 2017

Publication Type: Misc

Collar lemma for Hitchin representations

Abstract (Expand)

There is a classical result known as the collar lemma for hyperbolic surfaces. A consequence of the collar lemma is that if two closed curves A and B on a closed orientable hyperbolizable surface … intersect each other, then there is an explicit lower bound for the length of A in terms of the length of B, which holds for every hyperbolic structure on the surface. In this article, we prove an analog of the classical collar lemma in the setting of Hitchin representations.

Authors: Gye-Seon Lee, Tengren Zhang

Date Published: 2017

Publication Type: Journal

Affine Anosov representations and proper actions

Abstract (Expand)

We define the notion of affine Anosov representations of word hyperbolic groups into the affine group \SO^0(n+1,n)⋉\bR^2n+1. We then show that a representation ρof a word hyperbolic group is affine … Anosov if and only if its linear part \mathttL_ρis Anosov in \mathsfSO^0(n+1,n) with respect to the stabilizer of a maximal isotropic plane and ρ(Γ) acts properly on \mathbbR^2n+1.

Authors: Sourav Ghosh, Nicolaus Treib

Date Published: 2017

Publication Type: Misc

Towards development of Random Acceleration Molecular Dynamics simulation analysis software for predicting drug residence time

Abstract

Not specified

Author: Carl Buerkel

Date Published: 2017

Publication Type: Bachelor's Thesis

Uncertain photometric redshifts via combining deep convolutional and mixture density networks

Abstract

Not specified

Authors: A. D’Isanto, K. L. Polsterer

Date Published: 2017

Publication Type: InProceedings

Simulating the observed diversity of Type Ia supernovae . Introducing a model data base

Abstract

Not specified

Authors: M. Kromer, S. Ohlmann, F. K. Röpke

Date Published: 2017

Publication Type: Journal

Pre-outburst HST imaging of Gaia16cfr

Abstract

Not specified

Authors: C. D. Kilpatrick, R. J. Foley, Y. -C. Pan, P. J. Brown, A. V. Filippenko, D. Kasen, G. Folatelli, O. D. Fox, W. Hillenbrandt, S. Tauenberger, E. Hsiao, R. P. Kirshner, J. Parrent, G. H. Marion, J. M. Silverman, J. C. Wheeler, P. Milne, M. M. Phillips, G. Pignata, A. Riess, M. Kromer, R. Pakmor, F. Roepke, I. Seitenzahl

Date Published: 2017

Publication Type: Journal

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