Canonical Heights, Transfinite Diameters, and Polynomial Dynamics
| dc.creator | Baker, Matthew | |
| dc.creator | Hsia, Liang-Chung | |
| dc.date | 2003-05-13 | |
| dc.date | 2004-07-25 | |
| dc.date.accessioned | 2026-07-07T04:57:57Z | |
| dc.date.available | 2026-07-07T04:57:57Z | |
| dc.description | Let phi(z) be a polynomial of degree at least 2 with coefficients in a number field K. Iterating phi gives rise to a dynamical system and a corresponding canonical height function, as defined by Call and Silverman. We prove a simple product formula relating the transfinite diameters of the filled Julia sets of phi over various completions of K, and we apply this formula to give a generalization of Bilu's equidistribution theorem for sequences of points whose canonical heights tend to zero. | |
| dc.description | 28 pages, revised version. Lemma 7.1 and Theorem 4.3 have been corrected, and Remark 7.3 and Corollary 8.3 have been added | |
| dc.identifier | https://arxiv.org/abs/math/0305181 | |
| dc.identifier | http://arxiv.org/abs/math/0305181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67448 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.title | Canonical Heights, Transfinite Diameters, and Polynomial Dynamics | |
| dc.type | text |