[en] Using the parameterisation of the deformation space of GHMC anti-de Sitter structures on S×ℝ by the cotangent bundle of the Teichmüller space of S, we study how some geometric quantities, such as the Lorentzian Hausdorff dimension of the limit set, the width of the convex core and the Hölder exponent, degenerate along rays of quadratic differentials.
Disciplines :
Mathématiques
Auteur, co-auteur :
TAMBURELLI, Andrea ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Entropy degeneration of globally hyperbolic maximal compact anti-de Sitter structures
