Hanna Oppelmayer, PhD


Oppelmayer, Hanna

E-Mail: hanna.oppelmayer@uibk.ac.at

Tel.: +43 512 507 53875
Fax: +43 512 507 53899

Technikerstraße 21a, room 726
6020 Innsbruck
Austria

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

[1] Boundary entropy spectra as finite subsums. 
H. Oppelmayer,
Stochastics and Dynamics, Vol. 21, No. 6 (2021) 2150038, World Scientific Publishing Company,
DOI: 10.1142/S0219493721500386.
https://arxiv.org/abs/2007.04811

[2 ] Kudo-continuity of conditional entropies. 
M. Björklund, Y. Hartman, H. Oppelmayer,
to appear in Annales de l’Institut Henri Poincaré.
https://arxiv.org/abs/2002.06647

[3 ] Random walks on dense subgroups of locally compact groups.
M. Björklund, Y. Hartman, H. Oppelmayer,
https://arxiv.org/abs/2006.15705
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