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Universität Augsburg
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Universität Augsburg
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Marcel Schrocke
Stochastik und ihre Anwendungen
spricht am
Freitag, 21. November 2025
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We establish a hydrodynamical limit for the averaging process on the complete graph with $N$ vertices, showing that, after a timescale of order $N$, the empirical distribution of opinions converges to a unique measure. Moreover, if the initial distribution is absolutely continuous with respect to the Lebesgue measure, the limiting measure remains absolutely continuous and its density satisfies a non-diffusive differential equation, that resembles the Smoluchowski coagulation equation. We will also briefly discuss ongoing extensions to more general interaction structures, such as graphon-based networks and variants of the compass model, where spatial effects become relevant. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Markus Heydenreich |