Random attractors on countable state spaces
- Date
- Jun 26, 2026
- Time
- 2:00 PM - 4:00 PM
- Speaker
- Maximilian Engel
- Affiliation
- University of Amsterdam
- Language
- en
- Main Topic
- Biologie
- Host
- Math Groups
- Description
- I will describe the synchronization behavior of discrete-time Markov chains on countable state spaces. Representing a Markov chain in terms of a random dynamical system, which describes the collective dynamics of trajectories driven by the same noise, allows for the characterization of synchronization via random attractors. We establish the existence and uniqueness of a random attractor under mild conditions and show that forward and pullback attraction are equivalent in our setting. Additionally, we provide a sufficient condition for reaching the random attractor, or synchronization respectively, in a time of finite mean. This is joint work with Robin Chemnitz and Guillermo Olicón-Méndez
Last modified: Jun 26, 2026, 7:39:26 AM
Location
Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG CSBD SR Ground Floor (VC))Pfotenhauerstraße10801307Dresden
- Phone
- +49 351 210-0
- Fax
- +49 351 210-2000
- MPI-CBG
- Homepage
- http://www.mpi-cbg.de
Organizer
Max Planck Institute of Molecular Cell Biology and GeneticsPfotenhauerstraße10801307Dresden
- Phone
- +49 351 210-0
- Fax
- +49 351 210-2000
- MPI-CBG
- Homepage
- http://www.mpi-cbg.de
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