Cover Image

Introduction to circle packing : the theory of discrete analytic functions /

Bibliographic Details
Main Author: Stephenson, Kenneth, 1945-
Format: Book
Language:English
Published: New York : Cambridge University Press, 2005.
Subjects:
Circle packing.
Discrete geometry.
Analytic functions.
Analytische functies.
Meetkunde.
Online Access:Table of contents
Publisher description
Table of Contents:
  • An Overview of Circle Packing
  • A circle packing menagerie
  • Circle packings in the wild
  • Rigidity: maximal Packings
  • Preliminaries: topology, combinatorics, and geometry
  • Statement of the fundamental result
  • Bookkeeping and monodromy
  • Proof for combinatorial closed discs
  • Proof for combinatorial spheres
  • Proof for combinatorial open discs
  • Proof for combinatorial surfaces
  • Flexibility: Analytic Functions
  • The intuitive landscape
  • Discrete analytic functions
  • Construction tools
  • Discrete analytic functions on the disc
  • Discrete entire functions
  • Discrete rational functions
  • Discrete analytic functions on Riemann surfaces
  • Discrete conformal structure
  • Random walks on circle packings
  • Thurston's Conjecture
  • Extending the Rodin/Sullivan theorem
  • Approximation of analytic functions
  • Approximation of conformal structures
  • Applications.