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The PDEs and Applications seminar: Boundedness of Schrödinger Integral Operators in Sobolev Spaces
Stochastic Analysis and Applications: Playing stopping games against a ghost
Abstract: We study a class of optimal stopping games (Dynkin games) with uncertainty about the existence of competitors. We show that there exists a Nash equilibrium in randomized stopping times which is described explicitly in terms of the corresponding one-player game.
This is joint work with Tiziano De Angelis.
Geometry and Topology: Legendrian surgery formula and Chekanov-Eliashberg algebras for singular Legendrian, part II
Probability, Statistics and Combinatorics: Strictly weak consensus in the uniform compass model on Z
Abstract: We investigate a model for opinion dynamics, in which individuals are modeled by vertices of a graph. As time progresses, neighboring individuals interact, which results in a realignment of their opinions closer towards each other and as a result triggers formation of a consensus. Our main focus is on strong consensus (i.e. global agreement of all individuals) versus weak consensus (i.e.
CAPA: Global instability for `complete' families of perturbations with two or three independent harmonics
We prove that for any non-trivial perturbation depending
on any two independent harmonics of a pendulum and a rotor
there is global instability, also called Arnold diffusion.
The proof is based on the geometrical method and relies on
the concrete computation of several scattering maps.
A complete description of the different kinds of scattering maps
taking place as well as the existence of piecewi
The PDEs and Applications seminar: Wave equations close to Cauchy and event horizons and applications in general relativity
Abstract: The fundamental equations in Einstein's theory of general relativity are wave equations on curved spaces. The behavior of waves becomes particularly interesting close to event horizons of black holes or close to so called Cauchy horizons. I will explain new results on this topic and relate them to the following classical open questions:
Is there a general mathematical obstruction to time
Stochastic Analysis and Applications: Moment constrained optimal dividends: precommitment & consistent planning
DNA-semainariet: Diophantine approximation in number fields
Abstract: Classical Diophantine approximation, roughly speaking, seeks to quantify the statement "the rationals are dense in the reals".
In this seminar, I will explain how analogues of results from this area can be proven in number fields: as an example, I will discuss a classical result, namely Gallagher's zero-one law, give a statement of this in number fields, and sketch a proof, outlining th
Geometry and topology: Legendrian surgery formula and Chekanov-Eliashberg algebras for singular Legendrian III
Probability, Statistics and Combinatorics: A path wise approach to branching processes with pairwise interactions
CAPA: A computer-assisted proof for H(4)≥24 in Hilbert’s sixteenth problem
PDE and applications: Mathematical methods for uncertainty and exclusion in quantum mechanics
PDE and Applications: Mathematical methods for uncertainty and exclusion in quantum mechanics
Geometry and topology: Legendrian surgery formula and Chekanov-Eliashberg algebras for singular Legendrian IV