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Semi-Hyperbolic Maps Are Rare

Aspenberg, Magnus LU (2018) In International Mathematics Research Notices 2018(19). p.5938-5946
Abstract

We prove in this article that the set of semi-hyperbolic rational maps has Lebesgue measure zero in the space of rational maps on the Riemann sphere for a fixed degree d = 2. This extends the earlier result [3] to its full generality.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Mathematics Research Notices
volume
2018
issue
19
pages
9 pages
publisher
Oxford University Press
external identifiers
  • scopus:85057322378
ISSN
1073-7928
DOI
10.1093/imrn/rnx056
language
English
LU publication?
yes
id
f93f0a51-2e35-45c6-ac4d-2b6675949cb3
date added to LUP
2018-12-05 14:04:54
date last changed
2025-10-14 10:05:45
@article{f93f0a51-2e35-45c6-ac4d-2b6675949cb3,
  abstract     = {{<p>We prove in this article that the set of semi-hyperbolic rational maps has Lebesgue measure zero in the space of rational maps on the Riemann sphere for a fixed degree d = 2. This extends the earlier result [3] to its full generality.</p>}},
  author       = {{Aspenberg, Magnus}},
  issn         = {{1073-7928}},
  language     = {{eng}},
  number       = {{19}},
  pages        = {{5938--5946}},
  publisher    = {{Oxford University Press}},
  series       = {{International Mathematics Research Notices}},
  title        = {{Semi-Hyperbolic Maps Are Rare}},
  url          = {{http://dx.doi.org/10.1093/imrn/rnx056}},
  doi          = {{10.1093/imrn/rnx056}},
  volume       = {{2018}},
  year         = {{2018}},
}