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Summer Term 2021, Doctoral School Events
2021-03-19 Doctoral School Seminar (10:00–12:00, Video conference, TU)
Michael Missethan (TU, advisor M. Kang): Maximum degree in random planar graphs [show abstract]
Daniel Windisch (TU, advisor S. Frisch): Prime ideals in infinite products of commutative rings [show abstract]
New Students (TU+KFU)
Benjamin Klahn (TU, advisor C. Elsholtz): A Divisor Problem for Polynomials [show abstract]
2021-04-23 Doctoral School Seminar (14:00–16:30, Video conference, KFU)
Christian Lindorfer (TU, advisor W. Woess): Word problems for groups [show abstract]
Panagiotis Spanos (TU, advisor W. Woess): Random walks and the Dirichlet problem at infinity [show abstract]
New Students (TU+KFU)
Aqsa Bashir (KFU, advisor A. Geroldinger): Stable Domains and their Arithmetic [show abstract]
2021-05-21 Doctoral School Seminar (10:00–12:00, Video Conference, TU)
Julian Zalla (TU, advisor M. Kang): Loose cores and cycles in random hypergraphs [show abstract]
Raphael Watschinger (TU, advisor G. Of): An integration by parts formula for the hypersingular boundary integral operator of the heat equation [show abstract]
New Students (TU+KFU)
Richard Huber (KFU, advisor K. Bredies): Evolution of Critical Trajectories [show abstract]
2021-06-18 Doctoral School Seminar (14:00–16:30, Video conference, KFU)
Josef Strini (TU, advisor S. Thonhauser): A time-inconsistent stochastic optimal control problem from risk theory [show abstract]
Huan Chen (KFU, advisor G. Haase): Reinforcement learning based controller for hybrid electric vehicles [show abstract]
Martin Schwinzerl (KFU, advisor G. Haase): Optimising The Numerical Performance and Scalability Of Beam Field Elements In Beam Dynamics Simulations [show abstract]
Thomas Hirschler (TU, advisor W. Woess): Comparing Entropy Rates on Finite and Infinite Rooted Trees

Abstract: We consider denumerable stochastic processes with or without memory. Their evolution is encoded by a finite or infinite rooted tree. The main goal is to compare the entropy rates of a given base process and a second one, to be considered as a perturbation of the former. The processes are described by probability measures on the boundary of the given tree and by corresponding forward transition probabilities at the inner nodes. The comparison is in terms of Kullback-Leibler divergence.[hide abstract]