Archive: Stochastik Rhein-Main

Events

Date Category Speakers Title

21.06.2024 Rhein-Main-Kolloquium

Jiří Černý (Universität Basel)

RMK Mainz

In the presentation, I will consider two related models: the one-dimensional branching Brownian motion in random environment (BBMRE), and the randomized F-KPP equation (rFKPP). I will discuss the following natural questions: (1) Given a typical realisation of the environment, are the distributions of the maximal particle of the BBMRE (re-centred around their medians) tight? (2) For the same environment, is the width of the front of the "travelling-wave" solution to rFKPP uniformly bounded in time? Surprisingly, it turns out that the answers to these questions can be different. This highlights that, when compared to the settings of homogeneous branching Brownian motion and the F-KPP equation in a homogeneous environment, the introduction of a random environment leads to a much more intricate behaviour. The presentation is based on joint works with A. Drewitz, L. Schmitz, and P. Oswald. Read more

15.11.2024 Rhein-Main-Kolloquium

Christina Goldschmidt (University of Oxford)
Benedikt Stufler (TU Wien)

RMK Frankfurt

Read more

24.01.2025 Rhein-Main-Kolloquium

Yvan Velenik (Universität Genf)
Alexander Glazman (Universität Innsbruck)

RMK Darmstadt

Read more

17.01.2025 Rhein-Main-Kolloquium

Christian Mönch (JGU Mainz)
David Belius (UniDistance Suisse)

RMK Mainz 17.01.2025

Read more

15.04.2025 Rhein-Main-Kolloquium

Janina Hesse (Leibniz-Institut für Resilienzforschung, Mainz)

Oberseminar Mainz

How single cell properties can change network synchronization: The saddle-node loop bifurcation in neuron models - Neurons have traditionally been classified into two types depending on their frequency-input curve. Both types are associated with a particular dynamic transition from rest to spiking. Our work highlights a third transition, for which we found experimental evidence in hippocampal slices. For typical Hodgkin-Huxley-like neuron model, we present a universal bifurcation structure, with the separation of timescale between voltage and ion channel dynamics as one of the bifurcation parameters. We predict that the strongest changes in synchronization with small parameter changes occur at a particular co-dimension two bifurcation, the saddle-node loop bifurcation, and we present characteristics of this transition, from changes in firing rate to phase response curve and synchronization. We will conclude with a short overview over our current research on stress resilience. Read more

Displaying results 41 to 45 out of 45