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Aspects of categorical physics: a category for modelling dependence relations and a generalised entropy functor

Abstract:

Two applications of Category Theory are considered. The link between them is applications to Physics and more specifically to Entropy.

The first research chapter is broader in scope and not explicitly about Physics, although connections to Statistical Mechanics are made towards the end of the chapter. Matroids are abstract structures that describe dependence, and strong maps are certain structure-preserving functions between them with desirable properties. We examine properties of v...

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author

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Department:
University of Oxford
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Supervisor
Department:
University of Edinburgh
Role:
Supervisor
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Funding agency for:
Patta, V
Grant:
1239597
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:8bfd2a2d-524e-4ffa-953b-33d66ba186ed
Deposit date:
2018-08-20

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