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Wednesday, 08.05.2024, 14:15 (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
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Abstract
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.)

Host
Humboldt-Universität zu Berlin
WIAS Berlin

Wednesday, 08.05.2024, 11:30 (WIAS-405-406)

Seminar Interacting Random Systems
Tejas Iyer, WIAS Berlin:
Persistent hubs in generalised preferential attachment trees and certain branching processes
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406

Abstract
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.

Further Informations
Seminar Interacting Random Systems (Hybrid Event)

Host
WIAS Berlin