A Fractal Dimension for Measures via Persistent Homology
Henry Adams, Manuchehr Aminian, Elin Farnell, Michael Kirby, Joshua Mirth, Rachel Neville, Chris Peterson, Clayton Shonkwiler
Topics & Concepts
MathematicsCombinatoricsLebesgue measureHomology (biology)Euclidean spaceAbsolute continuityProbability measureFractalDiscrete mathematicsMathematical analysisLebesgue integrationGeneChemistryBiochemistryTopological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology