Conformal and Harmonic Measures on Laminations Associated with Rational Maps

ISBN-10: 0821836153

ISBN-13: 9780821836156

Edition: 2005

Authors: Vadim A. Kaimanovich, Mikhail Lyubich

List price: $73.00

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Description:

This book is dedicated to Dennis Sullivan on the occasion of his 60th birthday. The framework of affine and hyperbolic laminations provides a unifying foundation for many aspects of conformal dynamics and hyperbolic geometry. The central objects of this approach are an affine Riemann surface lamination $\mathcal A$ and the associated hyperbolic 3-lamination $\mathcal H$ endowed with an action of a discrete group of isomorphisms. This action is properly discontinuous on $\mathcal H$, which allows one to pass to the quotient hyperbolic lamination $\mathcal M$. Our work explores natural ``geometric'' measures on these laminations. We begin with a brief self-contained introduction to the…

Book details

List price: $73.00
Copyright year: 2005
Publisher: American Mathematical Society
Publication date: 1/3/2005
Binding: Paperback
Pages: 119
Size: 7.00" wide x 9.75" long x 0.25" tall
Weight: 0.594
Language: English



Introduction


Affine and hyperbolic laminations


Measures and currents on laminations


Laminations associated with rational maps


Measures on laminations associated with rational maps



Laminations associated with Kleinian groups


List of notations


Bibliography