Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Classification of escaping exponential maps
HTML articles powered by AMS MathViewer

by Markus Förster, Lasse Rempe and Dierk Schleicher PDF
Proc. Amer. Math. Soc. 136 (2008), 651-663 Request permission

Abstract:

We give a complete classification of the set of parameters $\kappa$ for which the singular value of $E_{\kappa }:z\mapsto \exp (z)+\kappa$ escapes to $\infty$ under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 37F10, 30D05
  • Retrieve articles in all journals with MSC (2000): 37F10, 30D05
Additional Information
  • Markus Förster
  • Affiliation: KPMG Deutsche Treuhand-Gesellschaft, Marie-Curie-Straße 30, 60439 Frankfurt/ Main, Germany
  • Email: mfoerster@kpmg.com
  • Lasse Rempe
  • Affiliation: Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom
  • MR Author ID: 738017
  • ORCID: 0000-0001-8032-8580
  • Email: l.rempe@liverpool.ac.uk
  • Dierk Schleicher
  • Affiliation: International University Bremen, P.O. Box 750 561, 28725 Bremen, Germany
  • MR Author ID: 359328
  • Email: dierk@iu-bremen.de
  • Received by editor(s): September 1, 2005
  • Received by editor(s) in revised form: January 16, 2007
  • Published electronically: November 1, 2007
  • Additional Notes: The first author was supported in part by a European fellowship of the Marie Curie Fellowship Association.
    The second author was supported in part by a postdoctoral fellowship of the German Academic Exchange Service (DAAD) and by the German-Israeli Foundation for Scientific Research and Development (G.I.F.), grant no. G-643-117.6/1999
  • Communicated by: Juha M. Heinonen
  • © Copyright 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 651-663
  • MSC (2000): Primary 37F10; Secondary 30D05
  • DOI: https://doi.org/10.1090/S0002-9939-07-09073-9
  • MathSciNet review: 2358507