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cond-mat.stat-mech2026
The topological gap at criticality: scaling exponent d + η, universality, and scope
Matthew Loftus
The topological gap -- the excess total persistence of the majority-spin alpha complex over a density-matched null -- encodes critical…
cond-mat.stat-mech2026
How much of persistent homology is topology? A quantitative decomposition for spin model phase transitions
Matthew Loftus
Point-cloud persistent homology (PH) -- computing alpha or Rips complexes on spin-position point clouds -- has been widely applied to detect phase transitions in classical spin mod…