%0 DATA
%A ANUPAM, CHAUDHURI
%D 2020
%T One-point recursions and topological recursion for enumerative problems
%U https://bridges.monash.edu/articles/thesis/One-point_recursions_and_topological_recursion_for_enumerative_problems/12736004
%R 10.26180/5f220cd3efd84
%2 https://bridges.monash.edu/ndownloader/files/24106343
%K Topological recursion
%K one-point recursion
%X 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.