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Genealogies of Interacting Particle Systems

by Birkner Matthias

Lecture notes and research on particle-system genealogies

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AlbakiReads Editorial

Lecture notes and research on particle-system genealogies

This volume examines genealogies in interacting particle systems: Markov processes with infinitely many interacting components, used in areas including statistical physics and population biology. Its two-part structure reflects a 2017 program at the National University of Singapore. Learning-session lecture notes introduce topics of active interest, while contributions from participants include surveys and original research. The emphasis on tracing the origins of site states backward in time connects the mathematical framework to questions that are especially relevant in biologically motivated systems. The collection brings together introductory material and research perspectives within probability and stochastic processes.

Good fit for readers who enjoy

  • Researchers and graduate-level readers in probability or stochastic processes.
  • Readers interested in mathematical models used in statistical physics and population biology.
  • Those seeking both topic introductions and survey or original research articles on interacting particle systems.

Themes

Interacting particle systemsGenealogies and backward tracing of site statesStochastic processesApplications in statistical physics and population biology

Based on publisher information and book metadata.

Book overview

Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems.

The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop. This is reflected in the present volume which contains two types of articles:

  • Lecture notes of the learning sessions, which provide valuable introductions to topics of active interest
  • Original contributions by participants, which include both survey articles and original research.

Written by respected researchers, including experts in the field such as Steve Evans, member of the US National Academy of Sciences, as well as Anton Wakolbinger, Andreas Greven, and many others, this volume will no doubt be a valuable contribution to the probability community.

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