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Universität Augsburg
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Universität Augsburg
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Eviatar B. Procaccia
Technion, Haifa
spricht am
Mittwoch, 15. Juli 2026
um
12:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Multi-particle diffusion-limited aggregation (MDLA) describes the growth of an aggregate driven by a cloud of diffusing particles. Classic works of Kesten, Rath, Sidoravicius, Stauffer, and Sly show that in the high-intensity regime the MDLA aggregate grows linearly in time, while the low-intensity regime remains largely open. We introduce the pool model, a rotationally symmetric analogue in which particles (“droplets”) perform continuous-time random walks and are absorbed upon entering a circular pool initially centered at the origin. Each absorbed particle increases the pool’s mass, and the pool expands so that its area grows accordingly—yielding a natural mass-preservingdynamics. The imposed rotational symmetry makes the model more tractable for rigorous analysis, while retaining key features of MDLA. In this talk we focus on the critical density separating finite growth from explosive behavior, and we present rigorous bounds on the pool’s growth rate. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Dominik Schmid |