作者
Joseph W Olson, John C Mayer, Luka Mernik
发表日期
2012
期刊
Inquiro, the UAB undergraduate science research journal
卷号
2012
期号
6
页码范围
23
简介
The study of complex dynamics is currently of great interest in mathematics and related scientific fields. Invariant laminations, invented by William Thurston, are abstract mathematical structures which represent the dynamics of complex polynomials but are easier to understand. We will define a sibling portrait of an invariant lamination which can be thought of as a “snap shot” of the dynamical system. We will show the existence of a one-to-one correspondence between sibling portraits and bicolored trees, mathematical objects from graph theory. This immediately provides a count for the number of different sibling portraits possible.
学术搜索中的文章
JW Olson, JC Mayer, L Mernik - Inquiro, the UAB undergraduate science research …, 2012