Paolo Perrone

Paolo Perrone

University of Oxford

H-index: 10

Europe-United Kingdom

About Paolo Perrone

Paolo Perrone, With an exceptional h-index of 10 and a recent h-index of 10 (since 2020), a distinguished researcher at University of Oxford, specializes in the field of category theory, type theory, probability theory, complex systems, information theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Convergence of martingales via enriched dagger categories

Starting Category Theory

A category-theoretic proof of the ergodic decomposition theorem

Weak cartesian properties of simplicial sets

Dilations and information flow axioms in categorical probability

Markov categories and entropy

Categorical probability spaces, ergodic decompositions, and transitions to equilibrium

Absolute continuity, supports and idempotent splitting in categorical probability

Paolo Perrone Information

University

Position

___

Citations(all)

308

Citations(since 2020)

280

Cited By

88

hIndex(all)

10

hIndex(since 2020)

10

i10Index(all)

11

i10Index(since 2020)

11

Email

University Profile Page

Google Scholar

Paolo Perrone Skills & Research Interests

category theory

type theory

probability theory

complex systems

information theory

Top articles of Paolo Perrone

Convergence of martingales via enriched dagger categories

arXiv preprint arXiv:2404.15191

2024/4/8

Paolo Perrone
Paolo Perrone

H-Index: 6

Starting Category Theory

2024

Paolo Perrone
Paolo Perrone

H-Index: 6

A category-theoretic proof of the ergodic decomposition theorem

Ergodic Theory and Dynamical Systems

2023/12

Paolo Perrone
Paolo Perrone

H-Index: 6

Weak cartesian properties of simplicial sets

Journal of Homotopy and Related Structures

2023/12

Dilations and information flow axioms in categorical probability

Mathematical Structures in Computer Science

2023/11

Markov categories and entropy

IEEE Transactions on Information Theory

2023/10/31

Paolo Perrone
Paolo Perrone

H-Index: 6

Categorical probability spaces, ergodic decompositions, and transitions to equilibrium

arXiv preprint arXiv:2310.04267

2023/10/6

Paolo Perrone
Paolo Perrone

H-Index: 6

Absolute continuity, supports and idempotent splitting in categorical probability

arXiv preprint arXiv:2308.00651

2023/8/1

Categorical information geometry

2023/8/1

Paolo Perrone
Paolo Perrone

H-Index: 6

Representable Markov categories and comparison of statistical experiments in categorical probability

Theoretical Computer Science

2023/6/15

Weakly affine monads

arXiv preprint arXiv:2303.14049

2023/3/24

Tobias Fritz
Tobias Fritz

H-Index: 20

Paolo Perrone
Paolo Perrone

H-Index: 6

Partial evaluations and the compositional structure of the bar construction

arXiv preprint arXiv:2009.07302

2020/9/15

Weakly Markov Categories and Weakly Affine Monads

2023

Tobias Fritz
Tobias Fritz

H-Index: 20

Paolo Perrone
Paolo Perrone

H-Index: 6

Probability monads with submonads of deterministic states

2022/8/2

Paolo Perrone
Paolo Perrone

H-Index: 6

Kan extensions are partial colimits

Applied Categorical Structures

2022/8

Paolo Perrone
Paolo Perrone

H-Index: 6

Walter Tholen
Walter Tholen

H-Index: 18

Lifting couplings in Wasserstein spaces

arXiv preprint arXiv:2110.06591

2021/10/13

Paolo Perrone
Paolo Perrone

H-Index: 6

Probability, valuations, hyperspace: Three monads on top and the support as a morphism

Mathematical Structures in Computer Science

2021/9

Tobias Fritz
Tobias Fritz

H-Index: 20

Paolo Perrone
Paolo Perrone

H-Index: 6

De Finetti's Theorem in Categorical Probability

arXiv preprint arXiv:2105.02639

2021/5/6

Tobias Fritz
Tobias Fritz

H-Index: 20

Paolo Perrone
Paolo Perrone

H-Index: 6

Monads, partial evaluations, and rewriting

Electronic Notes in Theoretical Computer Science

2020/10/1

Tobias Fritz
Tobias Fritz

H-Index: 20

Paolo Perrone
Paolo Perrone

H-Index: 6

Stochastic order on metric spaces and the ordered Kantorovich monad

Advances in Mathematics

2020/6/3

Tobias Fritz
Tobias Fritz

H-Index: 20

Paolo Perrone
Paolo Perrone

H-Index: 6

See List of Professors in Paolo Perrone University(University of Oxford)

Co-Authors

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