Area and Hausdorff Dimension of Julia Sets of Entire Functions
Show simple item record
| dc.contributor.author |
McMullen, Curtis T.
|
|
| dc.date.accessioned |
2010-01-28T18:41:53Z |
|
| dc.date.issued |
1987 |
|
| dc.identifier.citation |
McMullen, Curtis T. 1987. Area and Hausdorff dimension of Julia sets of entire functions. Transactions of the American Mathematical Society 300(1): 329–342. |
en_US |
| dc.identifier.issn |
0002-9947 |
en_US |
| dc.identifier.uri |
http://nrs.harvard.edu/urn-3:HUL.InstRepos:3597233 |
|
| dc.description.abstract |
We show the Julia set of \(\lambda\sin(z)\) has positive area and the action of \(\lambda\sin(z)\) on its Julia set is not ergodic; the Julia set of \(\lambda\exp(z)\) has Hausdorff dimension two but in the presence of an attracting periodic cycle its area is zero. |
en_US |
| dc.description.sponsorship |
Mathematics |
en_US |
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
American Mathematical Society |
en_US |
| dc.relation.isversionof |
doi:10.2307/2000602 |
en_US |
| dash.license |
LAA |
|
| dc.title |
Area and Hausdorff Dimension of Julia Sets of Entire Functions |
en_US |
| dc.type |
Journal Article |
en_US |
| dc.description.version |
Version of Record |
en_US |
| dc.relation.journal |
Transactions- American Mathematical Society |
en_US |
| dash.depositing.author |
McMullen, Curtis T.
|
|
| dc.date.available |
2010-01-28T18:41:53Z |
|
Files in this item
This item appears in the following Collection(s)
-
FAS Scholarly Articles [5137]
Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
Show simple item record
Contact administrator regarding this item (to report mistakes or request changes)