At Warwick they prefer non-standard analysis.
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Paolo Perrone
@paolop@mathstodon.xyz
mastodon 4.7.2Mathematician & math teacher
University of Oxford
270 Followers
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17 Posts
Joined April 26, 2022
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Replying to
@joannako@mathstodon.xyz
It's the 'mathematics of mathematics' because when you tell other mathematicians you are a category theorist, they say "OMG I hated category theory in grad school! What's the utility of that in real math? I'm so proud to have forgotten everything about it."
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.
Metropolis-Hastings using Markov categories!
A work by Rob Cornish and Andi Wang.
https://arxiv.org/abs/2601.22911
Replying to
@skewray@mathstodon.xyz @eigil@mathstodon.xyz
The introductory section of this paper may be easier to probabilists and information theorists: https://arxiv.org/abs/2212.11719
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
Descent in Probability Theory: the first steps downward
https://youtu.be/VG2RTE1R0BY?si=mgRJ2cBgPyrH919n
New work by Bart Jacobs, Márk Széles and Dario Stein.
https://arxiv.org/abs/2512.00209
New paper out!
https://arxiv.org/abs/2508.01146
Anyone in Milan tomorrow?
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.
"Independent States Are Orthogonal", a talk at GSI 2025 bridging probability and geometry.
https://youtu.be/mUPJEt3FeiU
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
I'm excited to be in Bologna for the week!
(If anyone is here and wants to meet, write me an email.)
New introduction to Categorical Probability for Physicists, by Tomáš Gonda:
https://www.youtube.com/live/eVfFuIGEZxc?feature=shared