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math.PR2023
The Spectral Edge of Constant Degree Erdős-Rényi Graphs
Ella Hiesmayr, Theo McKenzie
We show that for an Erdős-Rényi graph on vertices with expected degree satisfying , the largest eigenvalues can be precisely determined…
math.PR2023
Mean-field interacting multi-type birth-death processes with a view to applications in phylodynamics
William S. DeWitt, Steven N. Evans, Ella Hiesmayr +1
Multi-type birth-death processes underlie approaches for inferring evolutionary dynamics from phylogenetic trees across biological scales, ranging from deep-time species macroevolu…