Archive: Stochastik Rhein-Main

Events

Date Category Speakers Title

24.11.2023 Rhein-Main-Kolloquium

Véronique Gayrard (HCM Marseille)
Jean-Christophe Mourrat (ENS Lyon)

RMKS 24.11.2023 Mainz

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21.06.2024 Rhein-Main-Kolloquium

Stein Andreas Bethuelsen (University of Bergen)

RMK Mainz

Assign to each lattice point of Z^d a Poissonian number of particles and let each of them evolve independently as discrete-time simple random walks. On top of this dynamically evolving environment we consider an additional random walk whose jump transition depends on whether there are particles present at its location or not. This is the so-called random walk on random walks model. Previous studies have concluded that this model on Z^d, d\geq1, has a diffusive scaling when the density of particles is sufficiently low or sufficiently high. We will argue that this holds for all densities for the model on Z^d with d\geq 5. Our proof of this rely on a novel domination result for the dynamic environment that, when combined with coupling arguments and standard random walk estimates, yield uniform mixing bounds for the so-called local environment process. Based on joint work, partly in progress, with Florian Völlering (University of Leipzig) Read more

12.07.2024 Rhein-Main-Kolloquium

Nicolas Champagnat (Nancy)
Anita Winter (Duisburg-Essen)

RMK Frankfurt

The grapheme-valued Wright-Fisher Diffusion with mutation --- In Athreya, den Hollander and Röllin (2021) models from population genetics were used to de fine stochastic dynamics in the space of graphons that arise as continuum limits of dense graph sequencess. In this talk we extend this framework to a model with mutation. In particular, we define a finite graph valued Markov chain that can be associated with the infinite many alleles model, and establish a diffusion limit as the number of vertices goes to infinity. For that we encode finite graphs as graphemes. Graphems are those graphons that can be represented as a triple consisting of a topological vertex space, an adjacency matrix and a sampling measure. The space of graphons is equipped with convergence of sample subgraph densities. (joint work with Andreas Greven, Frank den Hollander and Anton Klimovsky) -------------------------------------------------------------------- Scaling limits of individual-based models in adaptive dynamics and local extinction of populations (N. Champagnat) --- Starting from an individual-based birth-death-mutation-selection model of adaptive dynamics with three scaling parameters (population size, mutation rate, mutation steps size), we will describe several scaling limits that can be applied to this model to obtain macroscopic models of different natures (PDE, Hamilton-Jacobi equation, stochastic adaptive walks, canonical equation of adaptive dynamics), which allow to characterize the long-term evolution of the population. Motivated by biological criticisms on the time-scale of evolution and the absence of local extinctions in the obtained macroscopic models, we propose new parameter scalings under which we can characterize the evolution of population sizes of the order of $K^\beta$, where $K$ is the order of magnitude of the total population size, and which allows for local extinction of subpopulations. This presentation will gather results obtained with several collaborators: Régis Ferrière, Sylvie Méléard, Amaury Lambert, Viet Chi Tran, Sepideh Mirrahimi, Vincent Hass. Read more

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

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24.01.2025 Rhein-Main-Kolloquium

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

RMK Darmstadt

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17.01.2025 Rhein-Main-Kolloquium

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

RMK Mainz 17.01.2025

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25.04.2025 Rhein-Main-Kolloquium

Benedikt Jahnel (TU Braunschweig)
Alexander Drewitz (Universität zu Köln)

RMK Darmstadt

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12.12.2025 Rhein-Main-Kolloquium

Viet-Chi Tran (Université de Lille)
Julie Tourniaire (Université de Besançon)

RMK Mainz 12.12.2025

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23.05.2025 Rhein-Main-Kolloquium

Alessandra Cipriani (University College London)
Martin Slowik (TU Berlin)

RMK Frankfurt

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05.12.2025 Rhein-Main-Kolloquium

Noela Müller (Universität Eindhoven)
Malwina Luczak (University of Manchester)

RMKS Ffm 05.12.2025

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27.–31.03.2017 Sommer-/Winterschule

Julien Berestycki (University of Oxford)
Nina Gantert (Technische Universität München)
Satya Majumdar (Université Paris Sud, Orsay)
Marcel Ortgiese (University of Bath)
Grégory Schehr (Université Paris Sud, Orsay)
Thomas Simon (Université de Lille 1)

Probability in mathematics and physics

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19.–23.03.2018 Sommer-/Winterschule

Hugo Duminil-Copin (Univerite de Geneve / IHES Paris)
Roland Bauerschmidt (University of Cambridge)
Roman Kotecky (University of Warwick)
Margherita Disertori (Universität Bonn)
Aran Raoufi (Univeriste de Geneve)
Igor Kortchemski (ENS Paris)
Antti Knowles (Université de Genève)

Spin Systems - Discrete and Continuous

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25.02.–01.03.2019 Sommer-/Winterschule

Prof. Dr. Zakhar Kabluchko (Universität Münster)
Prof. Joseph Yukich (Lehigh University)
Dr. Joscha Prochno (Universität Graz)
Dr. Matthias Schulte (Universität Bern)
Prof. Dr. Christoph Thäle (Universität Bochum)
Prof. Dr. Daniel Hug (Universität Karlsruhe)
Prof. Dr. Matthias Reitzner (Universität Osnabrück)

Selected topics in stochastic geometry

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02.–06.03.2020 Sommer-/Winterschule

Remco van der Hofstad (Eindhoven University of Technology)
Frank den Hollander (Universiteit Leiden)
Maria Deijfen (Stockholm University)
James Gleeson (University of Limerick)
Marc Lelarge (INRIA Paris)
Tiziano Squartini (IMT Lucca)
Nicos Starreveld (Universiteit von Amsterdam)
Luca Dall`Asta (Politecnico de Torino)

Spring School 2020: Complex Networks

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28.03.–01.04.2022 Sommer-/Winterschule

Peter Mörters (Universität Köln)
Steffen Dereich (Universität Münster)
Christian Döbler (Universität Düsseldorf)
Benedikt Jahnel (TU Braunschweig)
Christian Hirsch (University Aarhus)
Mathew Penrose (University of Bath)

Spring School 2022: Random geometric graphs

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27.–31.03.2023 Sommer-/Winterschule

Alison Etheridge (University of Oxford)
Jan Swart (UTIA Prague)
Nic Freeman (University of Sheffield)
Félix Foutel-Rodier (University of Oxford)
Andreas Greven (FAU Erlangen-Nürnberg)

Spring School 2023

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19.–23.02.2024 Sommer-/Winterschule

Eero Saksmann (University of Helsinki)
Julien Barral (Université Paris 13)

Spring School 2024

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24.–28.03.2025 Sommer-/Winterschule

Spring School 2025

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30.01.2017 Stochastik-Kolloquium Frankfurt

Jean-Francois Le Gall (Université Paris-Sud and Institut universitaire de France)

Random planar geometry

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Displaying results 161 to 180 out of 201