Hanna Oppelmayer, PhD
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E-Mail: hanna.oppelmayer@uibk.ac.at Tel.: +43 512 507 53875 Technikerstraße 13, room 726 Group: Stochastics |
Research
My major interests are random walks on groups (or other structures) and their boundaries, which can be understood as ways of compactifying the random walks. A very powerful object in this category is the so-called Furstenberg Poisson boundary, which builds bridges between several areas of mathematics, for instance, Operator Theory, Group Theory, Algebra, Probability Theory, Ergodic Theory and Dynamics. One of the main tools to understand these boundaries is Entropy Theory for non-singular actions. In a broader frame, I investigate stationary ergodic measure spaces. Boundaries are one instance of such spaces.
Teaching at the University of Innsbruck
VO & PS Statistik WS 2022 (Bachelor Mathematics)
Research Stops and Visits
| 2015-2020 | Sweden, Chalmers |
| 2018 | USA, Northwestern University |
| 2020/21 | Austria, TU Graz |
| 2021 | France, Université Paris Est Créteil |
| 2019 & 2021/22 | Israel, Ben Gurion University of the Negev |
| since 2022 | Austria, University of Innsbruck |
Publications and Preprints
Stochastics and Dynamics, Vol. 21, No. 6 (2021) 2150038, World Scientific Publishing Company,
DOI: 10.1142/S0219493721500386.
[2 ] Kudo-continuity of conditional entropies.
to appear in Annales de l’Institut Henri Poincaré.
[3 ] Random walks on dense subgroups of locally compact groups.
M. Björklund, Y. Hartman, H. Oppelmayer,