CONVERGENCE SPEED OF A RUELLE OPERATOR ASSOCIATED WITH A NON-UNIFORMLY EXPANDING CONFORMAL DYNAMICAL SYSTEM AND A DINI POTENTIAL

作者：Jiang, Yunping; Ye, Yuan-Ling^*

来源：Discrete and Continuous Dynamical Systems, 2018, 38(9): 4693-4713.

DOI：10.3934/dcds.2018206

• Non-uniformly expanding dynamical system
• weakly contractive IFS
• Dini continuity
• Ruelle operator (positive transfer operator, Ruelle's Perron-Frobenius operator)
• convergence speed
• decay rate of correlation
• quasi-gap condition

We study the convergence speed of a Ruelle operator associated with a non-uniformly expanding conformal dynamical system and a Dini potential. Even without uniformly bounded distortion in this case, which makes the study much harder, we are still able to obtain a very nice estimation of the convergence speed under a certain quasi-gap condition.

• 出版日期2018-9
• 单位华南师范大学