enriched category theory 1matrix algebras 1module equivalence 1nonunital operator systems 1ordered Banach spaces 1
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math.PR2026★ 1 cited
Monotone additive statistics on heavy-tailed convolution semigroups
Tobias Fritz, Xiaosheng Mu, Omer Tamuz
We study sub-semigroups of the semigroup of probability measures on and monotone additive statistics on them, by which we mean maps to the reals that are monotone with…
math.PR2026★ 3 cited
Absolute continuity, supports and idempotent splitting in categorical probability
Tobias Fritz, Tomáš Gonda, Antonio Lorenzin +2
Markov categories have recently turned out to be a powerful high-level framework for probability and statistics. They accommodate purely categorical definitions of notions like con…