Semi-Hyperbolic Maps Are Rare
(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.
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https://lup.lub.lu.se/record/f93f0a51-2e35-45c6-ac4d-2b6675949cb3
- author
- Aspenberg, Magnus LU
- organization
- publishing date
- 2018
- 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
- 2022-03-25 06:30:49
@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}},
}