Polynomial-preserving Stochastic Processes and Applications
- Date
- Feb 5, 2026
- Time
- 3:00 PM - 4:00 PM
- Speaker
- Martin Keller-Ressel
- Affiliation
- TU Dresden
- Language
- en
- Main Topic
- Biologie
- Host
- Local Organisers: Nikola Sadovek, Maximilian Wiesmann, Giulio Zucal
- Description
- Polynomial processes are a large class of stochastic processes, for which moments and related quantities, such as their auto-covariance, can be efficiently computed. Mathematically, they can be characterised as Markov processes, whose transition semigroup leaves the vector spaces of polynomials of given degree invariant. In my talk I give an overview of their general theory and discuss an application to a model of RNA transcription by Gorin, Vastola, Feng and Pachter. I also present some recent non-Markovian generalisations of polynomial processes and their connection to the algebraic theory of K-positivity preservers.
Last modified: Feb 5, 2026, 7:36:08 AM
Location
Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG CSBD SR Top 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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