The ultrametric phylogenetic Laplacian has closed-form eigenvalues that aggregate clade-weighted branch lengths and eigenvectors supported on individual clades, enabling linear-time spectral reconstruction and eigenmode analysis of traits.
Physical Review Letters , author=
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A betweenness centrality for stochastic networks is defined via an absorbing Markov chain on sequences of reported central nodes, with importance given by pre-absorption occupancy and estimated by Monte Carlo.
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Spectral Geometry and Heat Kernels on Phylogenetic Trees
The ultrametric phylogenetic Laplacian has closed-form eigenvalues that aggregate clade-weighted branch lengths and eigenvectors supported on individual clades, enabling linear-time spectral reconstruction and eigenmode analysis of traits.
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Betweenness Central Nodes Under Uncertainty: An Absorbing Markov Chain Approach
A betweenness centrality for stochastic networks is defined via an absorbing Markov chain on sequences of reported central nodes, with importance given by pre-absorption occupancy and estimated by Monte Carlo.