On category theory:
On categorical probability theory (Markov categories):
Tobias Fritz, Paolo Perrone, A Probability Monad as the Colimit of Spaces of Finite Samples, Theory and applications of Categories 34, 2019. (arXiv:1712.05363)
Tobias Fritz, Paolo Perrone, Stochastic order on metric spaces and the ordered Kantorovich monad, Advances in Mathematics 366, 2020. (arXiv:1808.09898)
Tobias Fritz, Eigil F. Rischel: Infinite products and zero-one laws in categorical probability, Compositionality 2 3 (2020) [doi:10.32408/compositionality-2-3, arXiv:1912.02769]
Tobias Fritz, Tomáš Gonda, Paolo Perrone, Eigil F. Rischel: Representable Markov categories and comparison of statistical experiments in categorical probability, Theoretical Computer Science 961 (2023) [arXiv:2010.07416, doi:10.1016/j.tcs.2023.113896]
Tobias Fritz, Tomáš Gonda and Paolo Perrone, De Finetti’s theorem in categorical probability. Journal of Stochastic Analysis, 2021. (arXiv:2105.02639)
Sean Moss, Paolo Perrone, Probability monads with submonads of deterministic states, LICS 2022. (arXiv:2204.07003)
Carmen Constantin, Tobias Fritz, Paolo Perrone and Brandon Shapiro, Partial evaluations and the compositional structure of the bar construction, Theory and Applications of Categories 39, 2023. (arXiv:2009.07302)
Sean Moss and Paolo Perrone, A category-theoretic proof of the ergodic decomposition theorem, Ergodic Theory and Dynamical Systems, 2023. (arXiv:2207.07353)
Paolo Perrone, Markov Categories and Entropy, IEEE Transactions on Information Theory 70(3), 2024. (arXiv:2212.11719)
On Kan extensions:
On simplicial sets:
Last revised on June 3, 2026 at 18:39:25. See the history of this page for a list of all contributions to it.