A tangency condition between nested convex sets cancels the linear term in return maps, yielding quadratic contraction, super-exponential convergence to the tangency set, and fractal structures via approximately affine dynamics in log coordinates.
Bowen,Hausdorff dimension of quasi-circles, Inst
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
From Tangency to Fractals: Quadratic Dynamics in Nested Convex Geometry
A tangency condition between nested convex sets cancels the linear term in return maps, yielding quadratic contraction, super-exponential convergence to the tangency set, and fractal structures via approximately affine dynamics in log coordinates.