Archive: Stochastik Rhein-Main

28.05.2021 Stochastik-Kolloquium Frankfurt

Dr. Jon Warren (Department of Statistics, University of Warwick)

A family of local times studied as a Markov process

B cell phylodynamics and mean-field multi-type birth and death processes

No knowledge of biology will be necessary to understand this talk. Germinal centers (GC) are micro-anatomical structures that transiently form in lymph nodes during an adaptive immune response. In a GC, B cells—the cells that make antibodies—diversify and compete based on the ability of the antibodies they express to recognize a foreign antigen molecule. As GC B cells proliferate, they undergo targeted mutations in the genomic locus encoding the antibody protein that can modify its antigen binding affinity. Via signaling from other GC cell types, the GC can monitor the binding phenotype of the B cell population it contains and provide survival signals to B cells with the highest-affinity antibodies (i.e., birth and death rates depend on type). Motivated by this mechanism, we develop a mean-field model that couples the birth and death rates in a focal multi-type birth and death process (MTBDP) with D types to the empirical distribution of states—i.e., the mean-field over an exchangeable system of N replica MTBDPs. The empirical distribution process of the N replicas converges to a deterministic probability measure-valued flow as N goes to infinity. In the limit, the focal process evolves as a multi-type birth and death process with rates governed by the probability measure-valued flow which is in turn the flow of one-dimensional marginal distributions of the focal process. Individual focal processes become independent in the limit and this holds out the hope of inference being feasible for this model. This is joint work with William S. DeWitt, Ella Hiesmayr, and Sebastian Hummel. Read more

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

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

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

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

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

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)