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Showing 1 to 3 of 3 for “"Topological statistics"”.

  1. High Resolution Maps of the Vasculature of An Entire Organ

    … storage and the calculation of geometric and topological statistics for the network. Our data revealed a complexity of structure unexpected by theory. We observe loops at all scales that complicate the assignment of hierarchy within the network and the existence of set length scales, implying …

    rockefeller Repository record for High Resolution Maps of the Vasculature of An Entire Organ (opens in a new tab)

  2. Topics in applied topology

    … homology has emerged as a powerful tool in Topological Data Analysis (TDA) for extracting structural information from complex datasets by tracking topological features across varying scales. While 1-parameter persistent homology offers a mature theory with well-defined invariants like …

    uiuc Repository record for Topics in applied topology (opens in a new tab)

  3. Structure and Dynamics of Associative Polymer Gels

    … walking and hopping diffusivities from the chain topological statistics and dissociation/association timescales, finding qualitative agreement with simulation. Finally, the last part of the thesis explored the possible contribution of multi-chain correlations toward network dynamics on different …

    mit Repository record for Structure and Dynamics of Associative Polymer Gels (opens in a new tab)