Spatial Coagulation and Gelation

Description

The desire to describe systems in which particles interact according to chemical reaction mechanisms has led to a range of challenging mathematical models. This project focuses on one of the most fundamental: particle growth due to coagulation. We want to make serious innovative steps in the analysis of spatial random-particle models for coagulation and the gelation phase transition, with the help of techniques from the mathematical theory of large-deviations.

Preprints/Publications

Luisa Andreis, Wolfgang Koenig, Robert Patterson: A large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph (10/2020)

Members

  • member's portrait

    Dr. Luisa Andreis

    Weierstrass Institute
    Principal Investigator
  • member's portrait

    Prof. Dr. Wolfgang König

    Weierstrass Institute
    Principal Investigator
  • member's portrait

    Dr. Robert Patterson

    Weierstrass Institute
    Principal Investigator
  • member's portrait

    M. Sc. Heide Langhammer

    Weierstrass Institute
    Associated Scientist

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