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math.PR2026
Convergence of Tsirelson convolution systems of probability spaces
Remus Floricel, Patrick Melanson
We associate two specific projective systems of probability spaces with any Tsirelson convolution system. If the projective limits of these systems exist, then we call the convolut…
math.PR2026
Factorizing random sets and type III Arveson systems
Remus Floricel
We develop a representative-level framework for the Liebscher-Tsirelson random-set construction of Arveson systems from stationary factorizing measure types. We introduce the notio…
math.PR2025
Product systems arising from Lévy processe
Remus Floricel, Peter Wadel
This paper investigates the structure of product systems of Hilbert spaces derived from Banach space-valued Lévy processes. We establish conditions under which these product syste…