3 papers
math.CV2025
Analysis of Boundary Behaviour of Quasidisks and Jordan Repellers
Ilia Binder, Adi Glücksam
We investigate the fine properties of harmonic measure and boundary rotation. By focusing on quasidisks and, in particular, on connected Jordan Repellers arising from conformal exp…
math.CV2025
GreenÅ Mapping and Julia Sets
Ilia Binder, Paul F. X. Müller, Peter Yuditskii
In March 1999, the first named author (Binder) posed the problem of showing that a ``good direction'' exists, for any Green's mapping , i.e.,…
math.CV2025
Orthodiagonal Maps, Tilings of Rectangles, and their Convergence to Conformal Maps
Ilia Binder, David Pechersky
A classic result of Brooks, Smith, Stone and Tutte associates to any finite planar network with distinguished source and sink vertices, a tiling of a rectangle by smaller subrectan…