401 citations · 631 across the 16 of their papers we have counts for
21 papers
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…
Critical Tokunaga model for river networks
Yevgeniy Kovchegov, Ilya Zaliapin, Efi Foufoula-Georgiou
The hierarchical organization and self-similarity in river basins have been topics of extensive research in hydrology and geomorphology starting with the pioneering work of Horton…
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…
Tokunaga self-similarity arises naturally from time invariance
Yevgeniy Kovchegov, Ilya Zaliapin
The Tokunaga condition is an algebraic rule that provides a detailed description of the branching structure in a self-similar tree. Despite a solid empirical validation and practic…
Dynamical pruning of rooted trees with applications to 1D ballistic annihilation
Yevgeniy Kovchegov, Ilya Zaliapin
We introduce generalized dynamical pruning on rooted binary trees with edge lengths. The pruning removes parts of a tree , starting from the leaves, according to a pruning funct…