|
This article is cited in 8 scientific papers (total in 8 papers)
Thermodynamic Formalism and Singular Invariant Measures for Critical Circle Maps
A. A. Dzhalilov A. Navoi Samarkand State University
Abstract:
As is well known, the renormalization group transformation in the space of analytic circle homeomorphisms with one cubic critical point and rotation number equal to the “golden section” has a single fixed point $T_0$. We construct the thermodynamic formalism for the critical map $T_0$ and use it to calculate the Hцlder indices for the singular invariant measure of $T_0$.
Keywords:
circle homeomorphism, critical point, thermodynamic formalism, Hölder index.
Received: 15.01.2002
Citation:
A. A. Dzhalilov, “Thermodynamic Formalism and Singular Invariant Measures for Critical Circle Maps”, TMF, 134:2 (2003), 191–206; Theoret. and Math. Phys., 134:2 (2003), 166–180
Linking options:
https://www.mathnet.ru/eng/tmf150https://doi.org/10.4213/tmf150 https://www.mathnet.ru/eng/tmf/v134/i2/p191
|
Statistics & downloads: |
Abstract page: | 378 | Full-text PDF : | 188 | References: | 52 | First page: | 1 |
|