Quantifying displacement: an urban expansion consequence via persistent homology

arXiv:2512.10753 · cs.CG, cs.SI · Submitted 2025-12-11 · Read on arXiv

cs.CG, cs.SI

Submitted: 2025-12-11

Updated: 2026-10-29

Terminology

• Persistent Homology — 25× in this paper · explained in 5 episodes
• Topological Data Analysis — 6× in this paper
• Composition — 2× in this paper · explained in 2 episodes
• Supplementary Information — 2× in this paper
• Topological Data Analysis (TDA) — 2× in this paper · explained in 3 episodes
• Axioms — 1× in this paper · explained in 2 episodes
• EMMA — 1× in this paper · explained in 2 episodes
• Panel Study of Income Dynamics — 1× in this paper
• Papers — 1× in this paper · explained in 3 episodes

Sources

• Understanding U.S. Racial Segregation Through Persistent Homology
• Cubical Ripser: Software for computing persistent homology of image and volume data
• Evaluating Cooling Center Coverage Using Persistent Homology of a Filtered Witness Complex
• A Comparison of Precinct and District Voting Data Using Persistent Homology to Identify Gerrymandering in North Carolina

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