Archiv: Stochastik Rhein-Main

11.07.2023 Oberseminar Mainz

Jan Lukas Igelbrink (Universität Mainz Fachbereich Mathematik und Goethe-Universität Frankfurt/M.)

Muller's ratchet with tournament selection: near-criticality and links to the classical ratchet

07.11.2023 Oberseminar Mainz

Marco Seiler (Goethe-Universität Frankfurt/M.)

Spatial Invasion of Cooperative Parasites

07.05.2024 Oberseminar Mainz

Prof. Dr. Steffen Dereich (Universität Münster)

New error bounds for the Adam optimisation algorithm

In this talk, I will give an introduction concerning the training of artifcial neural networks based on stochastic gradient descent algorithms. Whereas there are various approaches for carrying out an error analysis for classical stochastic gradient descent, significantly less is known for more elaborate algorithms such as the Adam algorithm. Recently, we established a new approach which allows us to provide error estimates and to reduce this gap. The talk is based on joint work with Arnulf Jentzen. weiterlesen

28.05.2024 Oberseminar Mainz

Stein Andreas Bethuelsen (University of Bergen)

Mixing for Poisson representable processes and the contact process

In this talk I will present some new insights on so-called Poisson representable processes, a general class of {0,1}-valued processes recently introduced by Forsström, Gantert and Steif. Particularly, I will discuss a new characteristic of these in terms of certain mixing properties. As an application thereof, I will argue that the upper invariant measure of the contact process on Z^d is not Poisson representable, thereby answering a question raised in the above mentioned work. This relies on the upper invariant measure satisfying certain directional mixing properties, but not their spatial equivalent. Moreover, the general approach extends to other processes having similar properties, such as the plus phase of the Ising model on Z^2 in the phase transition regime. weiterlesen

04.06.2024 Oberseminar Mainz

Samuel Modee (University of Bergen)

Some rigorous results on the zombie infection model

The so-called zombie infection model is a one-parameter family of interacting particle systems introduced in the physics literature in the 2010’s. This model can be seen as a natural hybrid between a SIR infection model and the bias-voter model. After a brief survey on the basics of this model, we present in this talk some rigorous results, focusing on monotonicity properties and bounds on the probability of a zombie invasion. This is based on joint work, in progress, with Erik Broman and Stein Andreas Bethuelsen. weiterlesen

19.11.2024 Oberseminar Mainz

Sascha Franck (Universität Frankfurt)

On the spread of an infection in a spatially distributed host population with host immunity

26.11.2024 Oberseminar Mainz

Reinhard Höpfner (Johannes Gutenberg-Universität JGU Mainz)

Circuits von Hodgkin-Huxley-Neuronen

03.12.2024 Oberseminar Mainz

Sebastian Hummel (ETH Zürich)

Multi-Type Birth-Death Processes with Mean-Field Interactions for B-cell Phylodynamics

04.02.2025 Oberseminar Mainz

Fabio Frommer (Universität Mainz Fachbereich Mathematik)

Solutions of the Kirkwood-Salsburg equations at negative activity

21.01.2025 Oberseminar Mainz

Mareike Fischer (Universität Greifswald)

On the reliability of Maximum Parsimony for encoding and reconstructing phylogenetic trees

15.04.2025 Oberseminar Mainz

Réka Szabó (University of Groningen)

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. weiterlesen

08.07.2025 Oberseminar Mainz

Réka Szabó (University of Groningen)

Percolation on the stationary distributions of the voter model with stirring

04.11.2025 Oberseminar Mainz

Noela Müller (Universität Eindhoven)

ENTFÄLLT LEIDER KURZFRISTIG !!!

25.11.2025 Oberseminar Mainz

Louis Chataignier (Université Toulouse III)

Upper moderate deviation probabilities for the maximum of a branching random walk

13.01.2026 Oberseminar Mainz

Janine Piesold (Johannes Gutenberg-Universität Mainz)

Oberseminar Mainz 13.01.2026

27.01.2026 Oberseminar Mainz

Flavio Dalessi (Universität Basel)

Oberseminar Mainz 27.01.2026

17.02.2026 Oberseminar Mainz

Andreas Klippel (TU Darmstadt)

Oberseminar Mainz 17.02.2026

02.06.2026 Oberseminar Mainz

Frederic Alberti (Université Marie et Louis Pasteur Besançon)

Oberseminar Mainz 2. Juni 2026

Archiv Oberseminar Mainz

Events

Muller's ratchet with tournament selection: near-criticality and links to the classical ratchet

Spatial Invasion of Cooperative Parasites

New error bounds for the Adam optimisation algorithm

Mixing for Poisson representable processes and the contact process

Some rigorous results on the zombie infection model

On the spread of an infection in a spatially distributed host population with host immunity

Circuits von Hodgkin-Huxley-Neuronen

Multi-Type Birth-Death Processes with Mean-Field Interactions for B-cell Phylodynamics

Solutions of the Kirkwood-Salsburg equations at negative activity

On the reliability of Maximum Parsimony for encoding and reconstructing phylogenetic trees

Oberseminar Mainz

Percolation on the stationary distributions of the voter model with stirring

ENTFÄLLT LEIDER KURZFRISTIG !!!

Upper moderate deviation probabilities for the maximum of a branching random walk

Oberseminar Mainz 13.01.2026

Oberseminar Mainz 27.01.2026

Oberseminar Mainz 17.02.2026

Oberseminar Mainz 2. Juni 2026

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