Alexander Erreygers
Abstract:
In this work we investigate uniformly continuous semigroups of sublinear transition
operators on the Banach space of bounded real-valued functions on some countable set.
We show how such a semigroup can be retrieved as the solution to an abstract Cauchy
problem by showing that it is equal to the family of exponentials generated by a
so-called bounded sublinear rate operator.
We also show that given any bounded sublinear rate operator, the family of
corresponding exponentials forms such a semigroup.
Submitted September 26, 2025. Published December 30. 2025.
Math Subject Classifications: 47H20, 60G65, 47D07.
Key Words: Operator exponential; operator logarithm; imprecise Markov process; sublinear Markov process.
DOI: 10.58997/ejde.2025.122
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| Alexander Erreygers Foundations Lab for imprecise probabilities Ghent University Technologiepark-Zwijnaarde 125 9052 Ghent, Belgium email: alexander.erreygers@ugent.be |
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