Veranstaltungen

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Mittwoch, 08.05.2024, 14:15 Uhr (WIAS-ESH)
Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Prof. Dr. Markus Schmidtchen, Technische Universität Dresden:
Gradient flow solutions for porous medium equations with nonlocal Lévy-type pressure
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Abstrakt
We study a porous medium-type equation whose pressure is given by a nonlocal Lévy-operator associated to a symmetric jump Lévy kernel. The class of nonlocal operators under consideration appears as a generalisation of the classical fractional Laplace operator. For the a class of Lévy-operators, we construct weak solutions using minimising movements. (Joint work with G. Foghem and D. Padilla.)

Veranstalter
Humboldt-Universität zu Berlin
WIAS Berlin
Mittwoch, 08.05.2024, 11:30 Uhr (WIAS-405-406)
Seminar Interacting Random Systems
Tejas Iyer, WIAS Berlin:
Persistent hubs in generalised preferential attachment trees and certain branching processes
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Abstrakt
In a tree growing in discrete time-steps, a node is called a persistent hub if it becomes, and remains, the fixed node of maximal degree during the evolution of the process. For a large class of generalised preferential attachment trees, we provide necessary and sufficient criteria for the emergence of a persistent hub, building on previous work by Dereich and Mörters; Galashin, and Banerjee and Bhamidi. During the talk, we will explore part of the proof, delving into the connection with continuous time branching processes.

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Seminar Interacting Random Systems (Hybrid Event)

Veranstalter
WIAS Berlin
Dienstag, 07.05.2024, 14:30 Uhr (WIAS-Library)
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Martin Brokate, Technische Universität München:
Rate independent evolutions: some basics, some progress
mehr ... Veranstaltungsort
Weierstraß-Institut, Hausvogteiplatz 5-7, 10117 Berlin, R411

Abstrakt
We discuss some elementary rate independent evolutions, in particular the stop and the play, and offer remarks on the historical development. We also elaborate on issues concerning related optimal control problems.

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Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations

Veranstalter
WIAS Berlin