A categorical method lifts free exponentials over double glueing for orthogonality categories and applies it to measure-theoretic transition kernels subsuming probabilistic coherent spaces.
Sharpe, General Theory of Markov Processes, Pure and Applied Mathematics Volume 133, Academic Press
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Double Glueing over Free Exponential: with Measure Theoretic Applications
A categorical method lifts free exponentials over double glueing for orthogonality categories and applies it to measure-theoretic transition kernels subsuming probabilistic coherent spaces.