Oberseminar Wahrscheinlichkeitstheorie
Joint research seminar of LMU and TUM in Probability Theory
Students and guests welcome.
Organizers:
Noam
Berger (TUM),
Nina
Gantert
(TUM),
Konstantinos Panagiotou (LMU),
Markus
Heydenreich (LMU),
Sabine
Jansen (LMU),
Franz Merkl
(LMU),
Silke
Rolles (TUM)
Upcoming talks:
| Mon 17 Nov 2025, 16:30: Christoph Thäle Random polytopes: old results and recent developments |
| In this talk, I will present selected developments from the past decade on the geometry of random polytopes. Particular emphasis will be placed on fluctuation results, both those obtained by means of Stein’s method and those derived through alternative approaches. I will also highlight recent progress in the planar setting, where techniques from analytic combinatorics have opened up new perspectives. |
| Parkring 11, Garching-Hochbrück. Room BC1 2.01.10 (8101.02.110) |
| Mon 24 Nov 2025, 16:30: Marco Seiler Contact process with viral load |
| In this talk, we present two novel variants of the contact process. In the first variant individuals carry a viral load. An individual with viral load zero is classified as healthy and otherwise infected. If an individual becomes infected it begins with a viral load of one, which then evolves according to a Birth-Death process. In this model, viral load indicates severity of the infection such that individuals with a higher load can be more infectious. Moreover, the recovery times of individual is not necessarily exponentially distributed and can even be chosen to follow a power-law distribution. In the second variant individuals are permanently infected albeit in two states: actively infected or dormant. The dynamics of these individual states are again governed by a Birth-Death process. Dormant infections do not interact with neighbouring individuals but may reactivate spontaneously. Active infections reactivate dormant neighbours at a constant rate and may become dormant themselves. We present a Poisson construction for both variants. For the first model, we study the phase transition of survival and discuss existence of a non-trivial upper invariant law. Additionally, we derive a duality relationship between the two variant, which we use to uncover a phase transition regarding invariant distributions in the second variant. |
| Parkring 11, Garching-Hochbrück. Room BC1 2.01.10 (8101.02.110) |
| Mon 1 Dec 2025, 16:30: Zsofia Talyigas TBA |
| TBA |
| Parkring 11, Garching-Hochbrück. Room BC1 2.01.10 (8101.02.110) |
| Mon 22 Dec 2025, 16:30: Chiara Sabina Bariletto TBA |
| TBA |
| Parkring 11, Garching-Hochbrück. Room BC1 2.01.10 (8101.02.110) |