3 papers
math.PR2026
Markov Renewal Theory for Transfer Operators and Point Processes on the Line
Yoon Jun Chan, Markus Heydenreich, Sabine Jansen
We prove exponential decay of pair correlations for 1D stationary point processes when spacings satisfy a Markov condition, geometric ergodicity, and a condition on exponential mom…
math.PR2024
Representations of the current algebra and probabilistic perspectives
Simone Floreani, Sabine Jansen, Stefan Wagner
We construct three representations of the current algebra: in extended Fock space, with Gamma random measures, and with negative binomial (Pascal) point processes. For th…
math.PR2023
Intertwinings for Continuum Particle Systems: an Algebraic Approach
Simone Floreani, Sabine Jansen, Stefan Wagner
We develop the algebraic approach to duality, more precisely to intertwinings, within the context of particle systems in general spaces, focusing on the curren…