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One-point recursions and topological recursion for enumerative problems

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thesis
posted on 29.07.2020 by ANUPAM CHAUDHURI
Many structures and shapes in nature exhibit recursion or self-similarity, in which large structures contain smaller copies of themselves at different scales. Topological recursion focuses this idea into a particular mathematical framework to analyse a large class of problems arising in enumeration, geometry and physics. This thesis explores a family of problems that fall under this umbrella. On the one hand, we enrich the general theory by adding new examples to the family; on the other hand, we develop a parallel theory of one-point recursions, which we conjecturally link back to topological recursion.

History

Principal supervisor

Norman Do

Year of Award

2020

Department, School or Centre

Mathematics

Course

Doctor of Philosophy

Degree Type

DOCTORATE

Exports

Exports