46 citations · 60 across the 9 of their papers we have counts for
10 papers
The Analysis of Bulk Boundary Correspondence under the Singularity of the Generalized Brillouin Zone in Non-Hermitian System
Gang-Feng Guo, Xi-Xi Bao, Lei Tan
The generalized Brillouin zone (GBZ), which is the core concept of the non-Bloch band theory to rebuild the bulk boundary correspondence in the non-Hermitian topology, appears as a…
Rational maps as Schwarzian primitives
Guizhen Cui, Yan Gao, Lei Tan +1
We study necessary and sufficient conditions for a meromorphic quadratic differential with prescribed poles to be the Schwarzian derivative of a rational map. We give geometric int…
Hyperbolic-parabolic deformations of rational maps
Guizhen Cui, Lei Tan
We develop a Thurston-like theory to characterize geometrically finite rational maps, then apply it to study pinching and plumbing deformations of rational maps. We show that in ce…
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…