| A probability monad as the colimit of spaces of finite samples T Fritz, P Perrone Theory and Applications of Categories 34 (7), 170-220, 2019 | 58* | 2019 |
| Representable Markov categories and comparison of statistical experiments in categorical probability T Fritz, T Gonda, P Perrone, EF Rischel Theoretical Computer Science 961, 113896, 2023 | 52 | 2023 |
| De Finetti's Theorem in Categorical Probability T Fritz, T Gonda, P Perrone arXiv preprint arXiv:2105.02639, 2021 | 52 | 2021 |
| Notes on Category Theory with examples from basic mathematics P Perrone arXiv preprint arXiv:1912.10642, 2019 | 42 | 2019 |
| Bimonoidal structure of probability monads T Fritz, P Perrone Electronic notes in theoretical computer science 341, 121-149, 2018 | 30 | 2018 |
| A category-theoretic proof of the ergodic decomposition theorem S Moss, P Perrone Ergodic Theory and Dynamical Systems 43 (12), 4166-4192, 2023 | 25 | 2023 |
| Markov categories and entropy P Perrone IEEE Transactions on Information Theory, 2023 | 24 | 2023 |
| Probability, valuations, hyperspace: Three monads on top and the support as a morphism T Fritz, P Perrone, S Rezagholi Mathematical Structures in Computer Science 31 (8), 850-897, 2021 | 23 | 2021 |
| Categorical probability and stochastic dominance in metric spaces P Perrone Dissertation, Leipzig, Universität Leipzig, 2018, 2018 | 22 | 2018 |
| Hierarchical quantification of synergy in channels P Perrone, N Ay Frontiers in Robotics and AI 2, 35, 2016 | 22 | 2016 |
| Monads, partial evaluations, and rewriting T Fritz, P Perrone Electronic Notes in Theoretical Computer Science 352, 129-148, 2020 | 19 | 2020 |
| Dilations and information flow axioms in categorical probability T Fritz, T Gonda, NG Houghton-Larsen, A Lorenzin, P Perrone, D Stein Mathematical Structures in Computer Science 33 (10), 913-957, 2023 | 17 | 2023 |
| Kan extensions are partial colimits P Perrone, W Tholen Applied Categorical Structures 30 (4), 685-753, 2022 | 17 | 2022 |
| Probability monads with submonads of deterministic states S Moss, P Perrone Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer …, 2022 | 16 | 2022 |
| A criterion for kan extensions of lax monoidal functors T Fritz, P Perrone arXiv preprint arXiv:1809.10481, 2018 | 10 | 2018 |
| Lifting couplings in Wasserstein spaces P Perrone arXiv preprint arXiv:2110.06591, 2021 | 9 | 2021 |
| Absolute continuity, supports and idempotent splitting in categorical probability T Fritz, T Gonda, A Lorenzin, P Perrone, D Stein arXiv preprint arXiv:2308.00651, 2023 | 8 | 2023 |
| Stochastic order on metric spaces and the ordered Kantorovich monad T Fritz, P Perrone Advances in Mathematics 366, 107081, 2020 | 7 | 2020 |
| Categorical probability spaces, ergodic decompositions, and transitions to equilibrium N Ensarguet, P Perrone arXiv preprint arXiv:2310.04267, 2023 | 5 | 2023 |
| Representable markov categories and comparison of statistical experiments in categorical probability (2020) T Fritz, T Gonda, P Perrone, EF Rischel arXiv preprint arXiv:2010.07416, 2010 | 5 | 2010 |
Tobias FritzDepartment of Mathematics, University of InnsbruckEmail verificata su uibk.ac.at
