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Research Papers, Theses & Talks

PhD-Level / Research: Fractal Geometry, Stochstic Processes, Quantum Mechanics of Semi-Conductors

"What is the fractal dimension of the image and graph of certain stochastic processes with drift? Does the Integrated Density of States for fractional random Schrödinger Operators exist and what is its asymptotics?"

Master-Level: PDEs (Navier-Stokes Equations), (Stochastic) Calculus, Stochastic Processes

"How can we translate the macroscopic dynamics of a fluid into an averaged stochastic system of microscopic particle movement?"

Bachelor-Level: Set Theory, Hierarchy of Infinities, Universa

"How big have infinities to be in order to content a universe?"