Polynomial-preserving Stochastic Processes and Applications

Datum

05.02.2026

Zeit

15:00 - 16:00

Sprecher

Martin Keller-Ressel

Zugehörigkeit

TU Dresden

Sprache

en

Hauptthema

Biologie

Host

Local Organisers: Nikola Sadovek, Maximilian Wiesmann, Giulio Zucal

Beschreibung

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.

Letztmalig verändert: 05.02.2026, 07:36:08