Nonlinear Stability in Fluids and Plasma Dynamics-Conformal Quasi-ConformalGeometry: Iteration, Distoration, Dynamics and Circle Packing

摘要

Contents: A note on topology and magnetic energy in incompressible perfectlyconducting fluids; Links of tori and the energy of incompressible flows; Factoring the Iogarithmic spiral; A remark on inherent differentiability; A power law for the distortion of planar sets; Strange actions of groups on spheres; Solving Beltrami equations by circle packing; An estimate for hexagonal circle packings; The convergence of circle packings to the Riemann mapping; Schwarz's lemma for circle packings; An extremal region for harmonic measure; Schwarz's lemma for circle packings, II; On Thurston's proof of Andreev's theorem; An inverse problem for circle packing approximations to the Riemann mapping function; Circle packing and conformal mapping; Circle packing and Riemann surfaces; On a problem of A. Beardon and K. Stephenson; Canonical conformal mapping for a multiply connected domain by Thurstons's circle packing method. (JHD)