publications

2021

1. The Boundary at Infinity of Gromov Hyperbolic Spaces

   Loreno Heer

   2021

   Bib HTML

   @thesis{heer2021,
     title = {The {{Boundary}} at {{Infinity}} of {{Gromov Hyperbolic Spaces}}},
     author = {Heer, Loreno},
     year = {2021},
     publisher = {{University of Zurich}},
     doi = {10.5167/UZH-217863},
     urldate = {2022-04-12}
   }

2017

1. Some Invariant Properties of Quasi-Möbius Maps

   Loreno Heer

   Analysis and Geometry in Metric Spaces, 2017

   Abs Bib HTML

   We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric spaces. A metric space is called doubling with constantDif every ball of nite radius can be cov-ered by at mostDballs of half the radius. It is shown that the doubling property is an invariant property for(quasi-)Möbius maps. Additionally it is shown that the property of uniform disconnectedness is an invariantfor (quasi-)Möbius maps as well

   @article{heer2017,
     url = {https://doi.org/10.1515/agms-2017-0004},
     title = {Some Invariant Properties of Quasi-Möbius Maps},
     author = {Heer, Loreno},
     pages = {69--77},
     volume = {5},
     number = {1},
     journal = {Analysis and Geometry in Metric Spaces},
     doi = {10.1515/agms-2017-0004},
     year = {2017},
     lastchecked = {2022-08-25},
     dimensions = {true}
   }

2015

1. Undistortedness of Lipschitz N-Connected Closed Subsets in Quasi-Convex Metric Spaces of Finite Assouad-Nagata Dimension

   Loreno Heer

   2015

   Bib PDF

   @thesis{heer2015,
     type = {mathesis},
     title = {Undistortedness of {{Lipschitz}} N-Connected Closed Subsets in Quasi-Convex Metric Spaces of Finite {{Assouad-Nagata}} Dimension},
     author = {Heer, Loreno},
     year = {2015},
     institution = {{ETH Zurich}},
     langid = {english},
   }

2012

1. Low-Dimensional Linear Representations of Mapping Class Groups and Their Triviality in Certain Cases

   Loreno Heer

   2012

   Bib PDF

   @thesis{heer2012,
     type = {bathesis},
     title = {Low-Dimensional Linear Representations of Mapping Class Groups and Their Triviality in Certain Cases},
     author = {Heer, Loreno},
     year = {2012},
     institution = {{University of Bern}},
     langid = {english},
   }