3 citations · 5 across the 7 of their papers we have counts for
7 papers
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…
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…
Spectral large deviations of sparse random matrices
Shirshendu Ganguly, Ella Hiesmayr, Kyeongsik Nam
Eigenvalues of Wigner matrices has been a major topic of investigation. A particularly important subclass of such random matrices is formed by the adjacency matrix of an Erdős-Rény…
Upper tail behavior of the number of triangles in random graphs with constant average degree
Shirshendu Ganguly, Ella Hiesmayr, Kyeongsik Nam
Let be the number of triangles in an Erdős-Rényi graph on vertices with edge density where is a fixed constant. It is well known that …
Some remarks on biased recursive trees
Ella Hiesmayr, Ümit Işlak
The purpose of this paper is to analyze certain statistics of a recently introduced non-uniform random tree model, biased recursive trees. This model is based on constructing a ran…
Asymptotic results on Hoppe trees and its variations
Ella Hiesmayr, Ümit Işlak
A uniform recursive tree on vertices is a random tree where each possible labeled recursive rooted tree is selected with equal probability. In this paper we introduce…
On asymptotics of two non-uniform recursive tree models
Ella Hiesmayr
In this thesis the properties of two kinds of non-uniform random recursive trees are studied. In the first model weights are assigned to each node, thus altering the attachment pro…