Institute of
Discrete Mathematics and Geometry



Arbeitsgemeinschaft Diskrete Mathematik

Info: Das Seminar AGDM der TU Wien wird gemeinsam mit Kollegen der Universität Wien veranstaltet.

Die Arbeitsgemeinschaft findet im Sommersemester an der TU Wien statt.

Ort: TU Wien, Freihaus (4., Wiedner Hauptstraße 8-10), Dissertantenraum, grüner Turm (A), 8. Stock.

Aktueller Termin



Zeit: Dienstag, 15:15-16:45 Uhr,

Datum: 27.02.2024
Titel: "The critical beta-splitting tree"
Vortragende: Svante Janson (Univ. Uppsala)



Inhalt: Aldous (1993, 2023) has introduced the "critical beta-splitting random tree" (an interesting special case of more general "beta-splitting trees"). This tree is constructed from a set of $n$ leaves, which are randomly partitioned into two subsets, with the probability of subsets of sizes $j$ and $n-j$ being proportional to $1/j(n-j)$; continue recursively in each subset with at least two elements. The result defines a binary tree with $n$ leaves. The beta-splitting trees were partly motivated by the study of evolutionary trees (although they are not realistic biological models). I see them as purely mathematical objects with interesting properties, and I will talk about some of these, using a variety of methods including both probabilistic (continuous-time Markov processes; exchangeable partitions) and analytic (an interesting Mellin transform). (Based on forthcoming joint work with David Aldous, and perhaps others.)


 

Vorträge in früheren Jahren

Übersicht: Vorträge Zeitraum 2005 - 2023


Bereits gehaltene Vorträge

Datum: 30.01.2024
Titel: "Refined counting of distinct partitions and Rogers-Ramanujan type identities"
Vortragender: Shishuo FU (Chongqing University)

Datum: 23.01.2024
Titel: "Algebraicity of Hypergeometric Functions with Arbitrary Parameters"
Vortragender: Florian Fürnsinn (Universität Wien)

Datum: 16.01.2024
Titel: "The feedback arc set problem on some surface graphs"
Vortragender: Vera Vertesi (Universität Wien)

Datum: 09.01.2024
Titel: "Rowmotion, Promotion and Homomesy via Toggleability Statistics"
Vortragender: Tamas Hausel (IST Austria)

Datum: 12.12.2023
Titel: "Higgs bundle tournaments"
Vortragender: Tamas Hausel (IST Austria)

Datum: 05.12.2023
Titel: "Smith Normal Form in Combinatorics"
Vortragender: Patrick Kotsch (Universität Wien)

Datum: 28.11.2023
Titel: "Unimodular Valuations beyond Ehrhart"
Vortragender: Martin Rubey (TU Wien)

Datum: 21.11.2023
Titel: "Four decorated Ferrers diagrams and Schmidt-type partition identities"
Vortragender: Ali K. Uncu (Univ. of Bath and RICAM)

Datum: 07.11.2023
Titel: "Disemisimple Lie algebras and Pre-Lie and Post-Lie algebra structures"
Vortragender: Dietrich Burde (Univ. Wien)

Datum: 31.10.2023
Titel: "Components of large meandric systems and the infinite noodle"
Vortragender: Paul Thévenin (Univ. Wien)

Datum: 24.10.2023
Titel: "Partitions, Congruence Ideals, and the Localization Method"
Vortragender: Nicolas Smoot (Univ. Wien)

Datum: 17.10.2023
Titel: "(Elliptic) $A_n$ Selberg integrals"
Vortragender: Seamus Albion (Univ. Wien)

Datum: 10.10.2023
Titel: "An elliptic extension of the multinomial theorem"
Vortragender: Michael Schlosser (Univ. Wien)