BRATTELI–VERSHIKISABILITY OF POLYGONAL BILLIARDS ON THE HYPERBOLIC PLANE

A Nagar, P Singh - Journal of the Australian Mathematical Society, 2024 - cambridge.org
Bratteli–Vershik models of compact, invertible zero-dimensional systems have been well
studied. We take up such a study for polygonal billiards on the hyperbolic plane, thus …

Hyperbolic cone metrics and billiards

V Erlandsson, CJ Leininger, C Sadanand - Advances in Mathematics, 2022 - Elsevier
A negatively curved hyperbolic cone metric is called rigid if it is determined (up to isotopy) by
the support of its Liouville current, and flexible otherwise. We provide a complete …

Construções hiperbólicas interativas: relações métricas e bilhares

IS da Costa, MV Bertolini - REMAT: Revista Eletrônica da …, 2022 - periodicos.ifrs.edu.br
Este trabalho explora a geometria do plano hiperbólico e, mais geralmente, de planos
neutros, por meio de construções com retas e circunferências executadas no disco de …

Coding of billiards in hyperbolic 3-space

P Singh - arXiv preprint arXiv:2009.14427, 2020 - arxiv.org
In this paper, we extend the scope of symbolic dynamics to encompass a specific class of
ideal polyhedrons in the 3-dimensional hyperbolic space, marking an important step forward …

Coding Billiards in Hyperbolic 3-Space

P Singh - Journal of Dynamical and Control Systems, 2024 - Springer
In this paper, we extend the scope of symbolic dynamics to encompass a specific class of
ideal polyhedrons in the 3-dimensional hyperbolic space, marking an important step forward …