- Category Theory, Applied Category Theory
- Probability and Information Theory
- Complexity and Networks
- Theoretical Computer Science
More information on my personal page.
- P. Perrone and N. Ay, Hierarchical Quantification of Synergy in Channels, Front. Robot. AI, 08 January 2016. Available here.
- T. Fritz and P. Perrone, Stochastic Order on Metric Spaces and the Ordered Kantorovich Monad, 2018. Available here.
- T. Fritz and P. Perrone, A Probability Monad as the Colimit of Finite Powers, 2017. Available here.
- T. Fritz and P. Perrone, Bimonoidal Structure of Probability Monads. To appear in Proceedings of MFPS 34, ENTCS, 2018. Available here.
- P. Perrone and N. Ay, Decomposition of Markov Kernels. Proceedings of WUPES 10, 2015. Available here.
- T. Fritz and P. Perrone, A Criterion for Kan Extensions of Lax Monoidal Functors, 2018. Available here.
- P. Perrone and N. Ay, Iterative Scaling Algorithm for Channels, 2016. Available here.
- P. Perrone, Dual Connections and Holonomy, 2015. Available here.