Stochastik

|
kollwit

Erika Roldan, MPI Leipzig: Topology and Geometry of Random Cubical Complexes (Oberseminar Mathematische Stochastik)

Wednesday, 01.02.2023 17:00 im Raum SRZ 216

Mathematik und Informatik

In this talk, we explore the expected topology (measured via homology) and local geometry of two different models of random subcomplexes of the regular cubical grid: percolation clusters, and the Eden Cell Growth model. We will also compare the expected topology that these average structures exhibit with the topology of the extremal structures that it is possible to obtain in the entire set of these cubical complexes. You can look at some of these random structures here (https://skfb.ly/6VINC) and start making some guesses about their topological behavior.



Angelegt am Monday, 31.10.2022 09:36 von kollwit
Geändert am Thursday, 08.12.2022 09:34 von kollwit
[Edit | Vorlage]

Oberseminare und sonstige Vorträge
Stochastik
|
kollwit

Ellen Powell, Durham, UK: Brownian excursions, conformal loop ensembles and critical Liouville quantum gravity (Oberseminar Mathematische Stochastik)

Wednesday, 08.02.2023 17:00 im Raum SRZ 216

Mathematik und Informatik

It was recently shown by Aidekon and Da Silva how to construct a growth fragmentation process from a planar Brownian excursion. I will explain how this same growth fragmentation process arises in another setting: when one decorates a certain ?critical Liouville quantum gravity random surface? with a conformal loop ensemble of parameter 4. This talk is based on joint work with Juhan Aru, Nina Holden and Xin Sun.



Angelegt am Thursday, 25.08.2022 12:29 von kollwit
Geändert am Wednesday, 18.01.2023 12:33 von kollwit
[Edit | Vorlage]

Stochastik
Oberseminare und sonstige Vorträge