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Universität Augsburg
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Universität Augsburg
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Professor Dr. Benjamin Gess
Technische Universität Berlin
spricht am
Mittwoch, 3. Dezember 2025
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16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Fluctuations are ubiquitous in real world contexts and in key technological challenges, ranging from thermal fluctuations in physical systems to algorithmic stochasticity in machine learning and fluctuations driven by small-scale weather patterns in climate dynamics. At the same time, such complex systems are influenced by a multitude of factors, relying on a wide range of parameters and interactions. This motivates the exploration of scaling limits and continuum dynamics. A systematic understanding of such interplay of stochasticity, complex dynamical behaviour, and continuum limits seeks to reveal universal properties, irrespective of the specific details of the systems in question. In this presentation we will examine the importance of modelling fluctuations in large systems through several examples, ranging from nonequilibrium thermodynamics to stochastic fluid dynamics and machine learning. We will demonstrate how their analysis uncovers deep connections between probabilistic features, partial differential equations with irregular coefficients, and geometric structures in the form of gradient flows on infinite dimensional manifolds. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Chengcheng Ling |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).