46 citations · 60 across the 9 of their papers we have counts for
4 papers · 1 filter
Kneading with weights
Hans Henrik Rugh, Lei Tan
We generalise Milnor-Thurston's kneading theory to the setting of piecewise continuous and monotone interval maps with weights. We define a weighted kneading determinant ${\cal D}(…
Smooth critical points of planar harmonic mappings
M. El Amrani, M. Granger, J. -J. Loeb +1
In a work in 1992, Lyzzaik studies local properties of light harmonic mappings. More precisely, he classifies their critical points and accordingly studies their topological and ge…
On Parameter Space of Complex Polynomial Vector Fields in the Complex Plane
Kealey Dias, Lei Tan
The space of degree d single-variable monic and centered complex polynomial vector fields can be decomposed into loci in which the vector fields have the same topological structure…
Renormalizations and wandering Jordan curves of rational maps
Guizhen Cui, Wenjuan Peng, Lei Tan
We realize a dynamical decomposition for a post-critically finite rational map which admits a combinatorial decomposition. We split the Riemann sphere into two completely invariant…