most citedAbsolute continuity, supports and idempotent splitting in categorical probability

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math.CT2025

Dilations and information flow axioms in categorical probability

Tobias Fritz, Tomáš Gonda, Nicholas Gauguin Houghton-Larsen +3

We study the positivity and causality axioms for Markov categories as properties of dilations and information flow in Markov categories, and in variations thereof for arbitrary sem…