Paolo Perrone

If you are in Oxford and would like to learn about applied category theory, I'm giving a course at the Maths department.
It's on Fridays, at 11 am, in L5.

We start this week with monoidal categories and string diagrams.

Metropolis-Hastings using Markov categories!
A work by Rob Cornish and Andi Wang.
https://arxiv.org/abs/2601.22911

More on the relationship between string diagrams and probabilistic graphical models.
New work by Antonio Lorenzin and Fabio Zanasi.
https://arxiv.org/abs/2512.09908

New work by Bart Jacobs, Márk Széles and Dario Stein.
https://arxiv.org/abs/2512.00209

Descent in Probability Theory: the first steps downward
https://youtu.be/VG2RTE1R0BY?si=mgRJ2cBgPyrH919n

Anyone in Milan tomorrow?

"Independent States Are Orthogonal", a talk at GSI 2025 bridging probability and geometry.
https://youtu.be/mUPJEt3FeiU

New introduction to Categorical Probability for Physicists, by Tomáš Gonda:
https://www.youtube.com/live/eVfFuIGEZxc?feature=shared

Great work by Areeb Shah-Mohammed on partial morphisms in Markov categories.
https://arxiv.org/abs/2509.05094

We should call it 'connecting the DOTS'.

A categorical definition of independence!
Here is a recording of the talk I gave at CT 2025, for anyone who might have missed it.
https://youtu.be/ls6zOX8L1eI

New paper out!
https://arxiv.org/abs/2508.01146

The document that started categorical probability, part of secret work from 1962, has reappeared, together with new commentaries of its author, Bill Lawvere.
https://lawverearchives.com/wp-content/uploads/2025/07/1962.probmap.pdf
Thanks to Tobias Fritz and to the Lawvere Archives for the work.

I'm excited to be in Bologna for the week!
(If anyone is here and wants to meet, write me an email.)