Institute for Mathematical Sciences Event Archive

Genealogies of Interacting Particle Systems

(17 Jul - 18 Aug 2017)

  • Matthias Birkner (Johannes Gutenberg-Universität Mainz)
  • Rongfeng Sun (National University of Singapore)
  • Jan Swart (The Czech Academy of Sciences)

  • General Enquiries: ims(AT)
    Scientific Aspects Enquiries: swart(AT)

    Interacting particle systems are Markov chains involving infinitely many mutually interacting components. Apart from the obvious connection to statistical physics, since the conception of the field in the 1970s, interacting particle systems such as the well-known voter model and contact process have also been used to model biological populations. An alternative way of studying these biologically motivated systems is to determine the state of individuals living at a given time by tracing their ancestors, or potential ancestors, backwards in time. The collection of all (potential) ancestors with their relationships forms a random network that is called the genealogy of the interacting particle system. There is a close connection to real genealogies of biological populations and questions about the latter, such as what are the effects of population dynamic and evolutionary mechanisms on genealogical trees, continue to stimulate the development of more theoretical topics, such as the theory of random graphs and their limits, and interacting stochastic systems.

    The aim of the proposed program is to bring together both experts and younger researchers from around the world, who have worked on or are interested in topics at the intersection of interacting particle systems, population biology, and random graphs, which hopefully will lead to new ideas and new collaborations.

    The format of the Learning Sessions is as follows:

    Each session lasts half a day, either in the morning or afternoon. Participants do not have to attend all sessions, and are encouraged to choose only 1 - 4 sessions so that they could learn something new and concentrate on a few topics. Each session will have two moderators to give an introduction to the topic and bring up questions to be discussed. Moderators need not be experts on the topic, and the session aims to cultivate an interest in learning a new topic.

    Topics can be on both classic material and new cutting edge results to promote discussion among the experts and junior participants. A list of possible topics is drawn up based on suggestions from the participants and the organizers. A few months before the program, participants indicate which learning sessions they want to sit in or moderate. Sessions with sufficient interest will be organized.

    You can find up-to-date information about the sessions at
    Please note that our office will be closed on the following public holiday.
    - *9 Aug 2017, Singapore National Day.

    IMS Auditorium

    Registration is closed.