Info: The AGDM seminar is a joint seminar of the University of Vienna and TU Wien. In winter semesters, we meet on Tuesdays from 15:00 to 16:30 at the University of Vienna. In summer semesters, we meet on Tuesdays at TU Wien.
Since 2025, we use a mailing-list to advertise the seminar. You can register here.
Place: TU Wien (Freihaus, Wiedner Hauptstr. 8-10, 1040 Wien): Room DA 08 B19 (Dissertantenzimmer), 8th floor, Tower A (green)
Time:Tuesday, 16:00-17:30
| Date: | Tuesday 26.05.2026 |
| Title: | Fluid limit in the supercritical frozen Erdős-Rényi graph |
| Speaker: | Vincent Viau (Université Sorbonne Paris-Nord) |
| Abstract: | The frozen Erdős-Rényi random graph is a variant of the standard dynamical Erdős-Rényi graph, that prevents the creation of the giant component by freezing the evolution of connected components with a unique cycle. The formation of multicyclic components is forbidden, while the growth of components with a unique cycle is slowed down, depending on a parameter p ∈ [0, 1] that quantifies the slowdown. In this talk, we will study the fluid limit of the main statistics of this process, that is their functional convergence as the number of vertices of the graph becomes large and after a proper rescaling, to the solution of a system of differential equations. The proof is based on the free forest property of the frozen model: the forest part of the graph is a uniform random forest. In order to prove the fluid limit results, we will explain how to count these forests using conditioned random walks. |
Maintaining a respectful environment is essential to fostering meaningful dialogue and intellectual growth. Participants are expected to refrain from any form of disrespectful or inappropriate behaviour, including offensive comments, harassment, or disruptive conduct. Questions and contributions should be constructive, relevant to the topic, and posed in a professional manner that encourages healthy academic exchange. Harassment of any kind—including verbal, moral or physical—will not be tolerated, and all attendees are urged to uphold these principles to ensure a safe and welcoming atmosphere for everyone.
| 26.05.2026 | Vincent Viau (Université Sorbonne Paris-Nord) | |
| 09.06.2026 | Kalina Petrova (ISTA) |
| 12.05.2026 | Theresia Eisenkölbl (Uni Wien) | Minor summation |
| 28.04.2026 | NiccolòBosio (TU Wien) | Gibbs partitions and lattice paths |
| 14.04.2026 | Álvaro Gutiérrez Cáceres (University of Bristol) | Schur polynomials from Ehrhart theory |
| 17.03.2026 | Colin Desmarais (TU Wien) | Moments of Pólya urns balanced in expectation |
| 27.01.2026 | Mona Gatzweiler (University of Vienna) | Kreweras words and the Cyclic Sieving Phenomenon |
| 20.01.2026 | Markus Reibnegger (University of Vienna) | Some combinatorial topics in $p$-adic representation theory |
| 13.01.2026 | Abdulhafeez Abdulsalam (University of Vienna) | Signed Generalized Stirling Polynomials and Generalized Hyperbolic Integrals |
| 16.12.2025 | Atsuro Yoshida (University of Vienna) | A Probabilistic Bijection from the Twenty-Vertex Model to Arrowed Gelfand-Tsetlin Patterns |
| 09.12.2025 | Alin Bostan (INRIA, Sorbonne Université) | On Deciding Transcendence of Power Series |
| 09.12.2025 | Anastasia Matveeva (École polytechnique) | On the Integrality of Some P-recursive Sequences |
| 02.12.2025 | Marcus Schönfelder (University of Vienna) | The $1/4$-phenomenon of placement probabilities of tilings in the Aztec diamond |
| 25.11.2025 | Joshua Jeishing Wen (University of Vienna) | Tesler identities for wreath Macdonald polynomials |
| 18.11.2025 | Fabián Levicán (University of Vienna) | Embeddings of weighted projective spaces |
| 11.11.2025 | Nicolas Allen Smoot (University of Vienna) | Some New Examples of Modular Congruence Multiplicities |
| 04.11.2025 | Eva-Maria Hainzl (TU Wien) | Functional equations with catalytic variable 101 |
| 28.10.2025 | Shane Chern (University of Vienna) | The Koutschan-Krattenthaler-Schlosser determinants and their combinatorics |
| 21.10.2025 | Sergio Alejandro Fernandez de Soto Guerrero (TU Graz) | MathMagic: A positroidal action over a deck of cards |
| 14.10.2025 | Christian Krattenthaler (University of Vienna) | Two Topics, Four Lessons |
| 07.10.2025 | Matija Bucic (University of Vienna) | Equiangular lines via improved eigenvalue multiplicity |