Work

Representation theory in persistence and quantum symmetries

Year: 2025

Type: article

Abstract: The first half of this thesis focuses on the application of quivers and their representations in topological data analysis (TDA), particularly persistent homology. After outlining the TDA pipeline, we analyze the stability of the $p$-presentation distance introduced in \cite{BjerkLes}. In doing so, we contribute a bound for the $p$-presentation distance between two persistence modules. We also give criterion on $p$ and on the persistence modules that ensure this distance is finite.

Source: Iowa Research Online (The University of Iowa)

DOI: 10.25820/etd.007991

Author: Askelsen, Elise

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7077142313

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