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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 8 Jun 2026, 16:30: Adrien Malacan
TBA
TBA
Parkring 11, Garching-Hochbrück.
Tue 9 Jun 2026, 16:00: Jakob Maier
TBA
TBA
Parkring 11, Garching-Hochbrück. Room BC1 2.01.10 (8101.02.110)
Mon 22 Jun 2026, 16:30: Dylan Chaussoy
TBA
TBA
Theresienstr. 39, München. Room B 252
Mon 29 Jun 2026, 16:30: Johannes Bäumler
Estimating the history of a random recursive tree
We estimate the arrival time of vertices in a uniform random recursive tree from its unlabeled structure. Using centrality-based rankings, we derive tail bounds for the relative estimation error that are uniform in the vertex and the tree size. For the ranking induced by Jordan centrality, the probability that the estimate exceeds the true arrival time by a factor $S$ decays on the order of $1/S$, while the probability that it is smaller than the true arrival time by a factor $1/S$ decays exponentially in $S$. We introduce a refined centrality measure whose overestimation probability decays on the order of $(\log S)/S^{2}$, at the cost of a heavier lower tail of order $1/S^{2}$. These results identify a tradeoff between upper- and lower-tail performance in arrival-time estimation. Joint work with Simon Briend and Joost Jorritsma
Parkring 11, Garching-Hochbrück. Room BC1 2.01.10 (8101.02.110)
Venue varies between Theresienstraße (LMU), Parkring (TUM) and Online (Zoom); for directions and further instructions see the Munich Mathematical Calendar.