Expanding direction of the period doubling operator |
| |
| Authors: | Yunping Jiang Takehiko Morita Dennis Sullivan |
| |
| Institution: | (1) The Institute for Mathematical Sciences, SUNY at Stony Brook, 11794 Stony Brook, USA;(2) Department of Mathematics, Tokyo Institute of Technology, Ohokayamo, Meguro, 152 Tokyo, Japan;(3) Department of Mathematics, Graduate Center of CUNY, 33 West 42nd Street, 10036 New York, NY, USA |
| |
| Abstract: | We prove that the period doubling operator has an expanding direction at the fixed point. We use the induced operator, a  Perron-Frobenius type operator, to study the linearization of the period doubling operator at its fixed point. We then use a sequence of linear operators with finite ranks to study this induced operator. The proof is constructive. One can calculate the expanding direction and the rate of expansion of the period doubling operator at the fixed point. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
