Quasiconformal Mappings in the Plane and Complex Dynamics

This book comprehensively explores the foundations of quasiconformal mappings in the complex plane, especially in view of applications to complex dynamics. Besides playing a crucial role in dynamical systems these mappings have important applications in complex analysis, geometry, topology, potentia...

Бүрэн тодорхойлолт

-д хадгалсан:
Номзүйн дэлгэрэнгүй
Үндсэн зохиолч: Magalhães, Luis T. (Зохиогч)
Байгууллагын зохиогч: SpringerLink (Online service)
Формат: Цахим Цахим ном
Хэл сонгох:англи
Хэвлэсэн: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Хэвлэл:1st ed. 2025.
Нөхцлүүд:
Онлайн хандалт:https://doi.org/10.1007/978-3-031-80115-0
Шошгууд: Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
Агуулга:
  • Preface
  • Definitions of Quasiconformal mapping in the plane
  • Measurable Riemann mapping theorem
  • Extension and distortion of quasiconformal mapping
  • Holomorphic motions
  • Stability and bifurcation in complex dynamics
  • Quasiconformal surgery and complex dynamics
  • Dimension of the Mandelbrot set boundary
  • Postcritically finite rational functions
  • Teichmüller spaces of Riemann surfaces
  • Teichmüller spaces of dynamical systems.