Archive: Stochastik Rhein-Main

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

25.01.2019 Rhein-Main-Kolloquium

Antti Knowles (Universitär Genf)
Aernout C. D. van Enter (Universität Groningen)

RMK Frankfurt WiSe 2018/2019

26.01.2018 Rhein-Main-Kolloquium

Wolfgang König (WIAS/TU Berlin)
Margherita Disertori (Universität Bonn)

RMK Frankfurt Winter 2017/18

27.01.2017 Rhein-Main-Kolloquium

Amine Asselah (Université Paris-Est)
Yvan Velenik (Universität Genf)

RMK Frankfurt Winter 2016/17

22.06.2018 Rhein-Main-Kolloquium

Julien Berestycki (University of Oxford)
Louigi Addario-Berry (McGill University Montreal)

RMK Frankfurt SoSe 2018

03.12.2021 Rhein-Main-Kolloquium

Nina Gantert (Technische Universität München)
Paolo Dai Pra (Università degli Studi di Verona)

RMK Frankfurt - ONLINE EVENT

11.06.2021 Rhein-Main-Kolloquium

Gaultier Lambert (Universität Zürich)
Christian Brennecke (Harvard University)

RMK Frankfurt - ONLINE

29.01.2021 Rhein-Main-Kolloquium

Gábor Lugosi (Department of Economics, Pompeu Fabra University Barcelona)
Po-Ling Loh (University of Cambridge)

RMK Frankfurt - ONLINE

06.12.2019 Rhein-Main-Kolloquium

Simone Warzel (TU München)
Matthias Erbar (Uni Bonn)

RMK Frankfurt

29.05.2020 Rhein-Main-Kolloquium

Giada Basile (Universität Rom)

RMK Frankfurt

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

15.11.2024 Rhein-Main-Kolloquium

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

RMK Frankfurt

18.05.2018 Rhein-Main-Kolloquium

Michael Scheutzow (TU Berlin)
Friedrich Götze (Universität Bielefeld)

RMK Darmstadt SoSe 2018

31.01.2020 Rhein-Main-Kolloquium

Sabine Jansen (LMU München)
Dimitrios Tsagkarogiannis (Università degli Studi dell´Aquila)

RMK Darmstadt - 31.01.2020

07.12.2018 Rhein-Main-Kolloquium

Dr. Piotr Miłoś (Universität Warschau)
Jakob Björnberg (Universität Göteborg)

RMK Darmstadt

22.01.2021 Rhein-Main-Kolloquium

Maria Deijfen (Stockholm University)
Siva Athreya (Indian Statistical Institute, Bengaluru)

RMK Darmstadt

24.01.2025 Rhein-Main-Kolloquium

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

RMK Darmstadt

15.11.2019 Rhein-Main-Kolloquium

Sarah Penington (Bath)
Amandine Véber (Paris)

RMK 15.11.2019 JGU Mainz: Amandine Véber (Paris) und Sarah Penington (Bath)

09.02.2018 Rhein-Main-Kolloquium

Elisabetta Candellero (University Warwick)
Francesco Caravenna (University Milano-Bicocca)

Rhein-Main-Kolloquium

07.07.2017 Rhein-Main-Kolloquium

Mikhail Lifshits ((St. Petersburg))
Vitali Wachtel ((Universität Augsburg))

Mikhail Lifshits (St. Petersburg): “Energy saving approximation of random processes”; Vitali Wachtel (Augsburg):First-passage times over moving boundaries for random walks with non-identically distributed increments.

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RMK Mainz

RMK Frankfurt WiSe 2018/2019

RMK Frankfurt Winter 2017/18

RMK Frankfurt Winter 2016/17

RMK Frankfurt SoSe 2018

RMK Frankfurt - ONLINE EVENT

RMK Frankfurt - ONLINE

RMK Frankfurt - ONLINE

RMK Frankfurt

RMK Frankfurt

RMK Frankfurt

RMK Frankfurt

RMK Darmstadt SoSe 2018

RMK Darmstadt - 31.01.2020

RMK Darmstadt

RMK Darmstadt

RMK Darmstadt

RMK 15.11.2019 JGU Mainz: Amandine Véber (Paris) und Sarah Penington (Bath)

Rhein-Main-Kolloquium

Mikhail Lifshits (St. Petersburg): “Energy saving approximation of random processes”; Vitali Wachtel (Augsburg):First-passage times over moving boundaries for random walks with non-identically distributed increments.

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