31 citations · 144 across the 26 of their papers we have counts for
27 papers · 1 filter
Gelation in Vector Multiplicative Coalescence and Extinction in Multi-Type Poisson Branching Processes
Heshan Aravinda, Yevgeniy Kovchegov, Peter T. Otto +1
In this note, we present a novel connection between a multi-type (vector) multiplicative coalescent process and a multi-type branching process with Poisson offspring distributions.…
Extensions of true skewness for unimodal distributions
Yevgeniy Kovchegov, Alex Negrón, Clarice Pertel +1
A 2022 paper arXiv:2009.10305v4 introduced the notion of true positive and negative skewness for continuous random variables via Fréchet -means. In this work, we find novel crit…
Invariant Galton-Watson trees: metric properties and attraction with respect to generalized dynamical pruning
Yevgeniy Kovchegov, Guochen Xu, Ilya Zaliapin
Invariant Galton-Watson (IGW) tree measures is a one-parameter family of critical Galton-Watson measures invariant with respect to a large class of tree reduction operations. Such…
A new life of Pearson's skewness
Yevgeniy Kovchegov
In this work we show how coupling and stochastic dominance methods can be successfully applied to a classical problem of rigorizing Pearson's skewness. Here, we use Fréchet means t…
Invariance and attraction properties of Galton-Watson trees
Yevgeniy Kovchegov, Ilya Zaliapin
We give a description of invariants and attractors of the critical and subcritical Galton-Watson tree measures under the operation of Horton pruning (cutting tree leaves with subse…
Random Self-Similar Trees: A mathematical theory of Horton laws
Yevgeniy Kovchegov, Ilya Zaliapin
The Horton laws originated in hydrology with a 1945 paper by Robert E. Horton, and for a long time remained a purely empirical finding. Ubiquitous in hierarchical branching systems…