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Universität Augsburg
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Universität Augsburg
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Dr. Tobias Wöhrer
Technische Universität München
spricht am
Dienstag, 19. Dezember 2023
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16 Uhr s.t.
im
Raum 1309 (I2)
über das Thema:
| Abstract: |
| This talk investigates the mean-field dynamics of stochastic McKean (or Kuramoto-type) differential equations with particle interaction patterns described by large network/graph structures. These dynamics are key to understanding diverse phenomena such as synchronization, opinion formation and biomechanical processes. We formulate the limiting McKean-Vlasov equation by incorporating the recently developed graph limit theory of graph operators, or graphops, in the Vlasov interaction term. This allows us to cover a wide range of graph structures, from dense to sparse and unbounded. In this rather general setting, we prove global stability of the splay steady state via entropy methods and provide explicit graph-structure dependent stability conditions and decay rates. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Jan-Frederik Pietschmann |