Archive: Stochastik Rhein-Main

16.05.2024 Oberseminar Darmstadt

Mark Sellke (Harvard University)

Confinement of Unimodal Probability Distributions and an FKG-Gaussian Correlation Inequality

27.06.2024 Oberseminar Darmstadt

David Heson (Mississippi State University)

Computational Methods for Analyzing 1-Dimensional Heisenberg Spin Rings and Similar Systems

18.07.2023 Oberseminar Mainz

Andreas Klippel (TU Darmstadt)

Comparison of the random loop model to percolation and infinite loops in the random link model

24.10.2024 Oberseminar Darmstadt

Benjamin Lees (University of Leeds)

Combinatorial identities from an inhomogeneous Ising chain

Prof. Dr. Hsien-Kuei Hwang (Academia Sinica, Taipeh)

Coin-tossing in Algorithmics

04.07.2017 Oberseminar Mainz

Roger Tribe (University of Warwick)

Coalescing Random Walks and related models

26.11.2024 Oberseminar Mainz

Reinhard Höpfner (Johannes Gutenberg-Universität JGU Mainz)

Circuits von Hodgkin-Huxley-Neuronen

29.11.2018 Oberseminar Darmstadt

Leif Döring (Universität Mannheim)

Boundary behaviour for stable jump diffusions

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

11.11.2021 Oberseminar Darmstadt

Matthias Meiners (Justus-Liebig-Universität Gießen)

Asymptotic fluctuations of supercritical general branching processes

07.06.2022 Oberseminar Mainz

Asymptotic behaviour of ancestral lineages in spatial models

An introduction to log-correlated fields and multiplicative chaos

25.04.2023 Oberseminar Mainz

Fu-Hsuan Ho (Université Toulouse III)

Algorithmic perspectives of the continuous random energy model

09.07.2019 Oberseminar Mainz

Fridolin Kielisch (Johannes-Gutenberg-Universität Mainz)

A lookdown-construction of symbiotic diffusions with positive correlation

Dr. Kevin Leckey (TU Dortmund)

A limit theorem for the ρ-length of random functional graphs with fixed degree sequences

25.01.2018 Oberseminar Darmstadt

Mikhail Lifshits ((St. Petersburg))

A hierarchical renormalisation model

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

A family of local times studied as a Markov process

28.01.2020 Oberseminar Mainz

Stephan Gufler (Technion Haifa)

28.01.2020 Stephan Gufler (Technion Haifa)

22.10.2019 Oberseminar Mainz

Adrien Schertzer (Goethe Universität Frankfurt)

22.10.19 Adrien Schertzer

21.01.2020 Oberseminar Mainz

Florin Boenkost (Goethe Universität Frankfurt a.M.)

21.01.2020 Florin Boenkost (Goethe Universität Frankfurt)

Events archive

Events

Confinement of Unimodal Probability Distributions and an FKG-Gaussian Correlation Inequality

Computational Methods for Analyzing 1-Dimensional Heisenberg Spin Rings and Similar Systems

Comparison of the random loop model to percolation and infinite loops in the random link model

Combinatorial identities from an inhomogeneous Ising chain

Coin-tossing in Algorithmics

Coalescing Random Walks and related models

Circuits von Hodgkin-Huxley-Neuronen

Boundary behaviour for stable jump diffusions

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

Asymptotic fluctuations of supercritical general branching processes

Asymptotic behaviour of ancestral lineages in spatial models

An introduction to log-correlated fields and multiplicative chaos

Algorithmic perspectives of the continuous random energy model

A lookdown-construction of symbiotic diffusions with positive correlation

A limit theorem for the ρ-length of random functional graphs with fixed degree sequences

A hierarchical renormalisation model

A family of local times studied as a Markov process

28.01.2020 Stephan Gufler (Technion Haifa)

22.10.19 Adrien Schertzer

21.01.2020 Florin Boenkost (Goethe Universität Frankfurt)

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