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- Robert L. Devaney
- SIAM Review
- 1990

- Robert L. Devaney, Ralph Abraham, Christopher D. Shaw, James F. Georges, Delbert L. Johnson, Yaneer Bar-Yam
- 2002

Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks. Where those designations appear in this book and Addison-Wesley was aware of a trademark claim, the designations have been printed in initial capital letters. Aureet's memory is a blessing.

No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. Details on how to seek permission, further information about the Publisher's permissions policies and our… (More)

- Robert L. Devaney
- SIAM Review
- 1991

In this paper we consider both the dynamical and parameter planes for the complex exponential family Eλ(z) = λez where the parameter λ is complex. We show that there are infinitely many curves or “hairs” in the dynamical plane that contain points whose orbits underEλ tend to infinity and hence are in the Julia set. We also show that there are similar hairs… (More)

In this paper we describe some features of the parameter planes for the families of rational maps given by Fλ(z) = z n + λ/zn where n ≥ 3, λ ∈ C. We assume n ≥ 3 since, in this case, there is a McMullen domain surrounding the origin in the λ-plane. This is a region where the corresponding Julia sets are Cantor sets of concentric simple closed curves. We… (More)

In this paper we consider the family of rational maps of the complex plane given by z2 + λ z2 where λ is a complex parameter. We regard this family as a singular perturbation of the simple function z2. We show that, in any neighborhood of the origin in the parameter plane, there are infinitely many open sets of parameters for which the Julia sets of the… (More)

We describe some of the bifurcations that occur in the family of entire maps E\(z) = \exp(z). When X = 1, it is known that J(E\) = C. We show that there are many other values for which this happens. However, in each case, there are nearby X-values for which J(E\) is nowhere dense. Let F(z) be an entire transcendental function. The Julia set of F, denoted by… (More)

- Ranjit Bhattacharjee, Robert L. Devaney
- 1998

- Robert L. Devaney
- SIAM Review
- 1994

distribution for interval censoring II and convolution models and finally a link with Wellner. He shows that the mean of the NPMLE in interval censoring is efficient via the information bound introduced by Wellner. As is customary in the DMV course, a detailed set of problems testing the reader’s mastery of the concepts and, more importantly, providing a… (More)