In collaboration with Dr. Yair Hartman from BGU, the researchers applied concepts in Probability Theory (Stochastics) to structures in Operator Algebra Theory in an ongoing project. Operator Algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings. In particular, it is a set of operators with both algebraic and topological closure properties.
Dr. Amrutam's expertise in Operator Algebras complemented Oppelmayer's probabilistic perspective, contributing to their research project. The visit resulted in significant progress and partial answers to their research questions, including the proof of a theorem for certain classes of examples.
To conclude the visit, Dr. Amrutam presented their findings in the local seminar of the Stochastics research group at the University of Innsbruck.
You can find more information about the seminar at:
https://www.uibk.ac.at/mathematik/stochastik/seminars.html