Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Waterman, James"'
We completely characterise the bounded sets that arise as components of the Fatou and Julia sets of meromorphic functions. On the one hand, we prove that a bounded domain is a Fatou component of some meromorphic function if and only if it is regular.
Externí odkaz:
http://arxiv.org/abs/2204.11781
We develop a general technique for realising full closed subsets of the complex plane as wandering sets of entire functions. Using this construction, we solve a number of open problems. (1) We construct a counterexample to Eremenko's conjecture, a ce
Externí odkaz:
http://arxiv.org/abs/2108.10256
Autor:
Waterman, James
We show that the Hausdorff dimension of the set of points of bounded orbit in the Julia set of a meromorphic map with a simply connected direct tract and a certain restriction on the singular values is strictly greater than one. This result is obtain
Externí odkaz:
http://arxiv.org/abs/1910.08474
Autor:
Waterman, James
We show that a direct tract bounded by a simple curve is a logarithmic tract and further give sufficient conditions for a direct tract to contain logarithmic tracts. As an application of these results, an example of a function with infinitely many di
Externí odkaz:
http://arxiv.org/abs/1902.04330
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Waterman, James
Let $f$ be a transcendental entire function. By a result of Rippon and Stallard, there exist points whose orbit escapes arbitrarily slowly. By using a range of techniques to prove new covering results, we extend their theorem to prove the existence o
Externí odkaz:
http://arxiv.org/abs/1809.01068
Autor:
Naidenov, Laura, Grindle, Chris, Duke, Jonathon, Gough, Elena J., Davis, Nick, Hall, Dave, Waterman, James O., Holmes, Lisa
Publikováno v:
Frontiers in Conservation Science; 2024, p1-13, 13p
Generalized derivatives and infinitesimal spaces generalize the idea of derivatives to mappings which need not be differentiable. It is particularly powerful in the context of quasiregular mappings, where normal family arguments imply generalized der
Externí odkaz:
http://arxiv.org/abs/1602.06205
Autor:
Dyah Perwitasari-Farajallah, Arismayanti Eka, Qomariah Indira Nurul, Pasetha Andre, Astuti Dewi Apri, Waterman James O.
Publikováno v:
Biotropia: The Southeast Asian Journal of Tropical Biology, Vol 29, Iss 2 (2022)
Pregnancy and lactation are reproductive phases that require large amounts of energy. Females in the reproductive period need good quality and quantity of food to provide nutrition for the fetus, milk production and child care. The mother will adapt
Externí odkaz:
https://doaj.org/article/0bbd00bed5304a1e9df70e2718b18e32