## Topological Methods in Nonlinear Analysis

### On the topological pressure of the saturated set with non-uniform structure

#### Abstract

We derive a conditional variational principle of the saturated set for systems with the non-uniform structure. Our result applies to a broad class of systems including $\beta$-shifts, $S$-gap shifts and their subshift factors.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 51, Number 1 (2018), 313-329.

Dates
First available in Project Euclid: 18 January 2018

https://projecteuclid.org/euclid.tmna/1516244426

Digital Object Identifier
doi:10.12775/TMNA.2017.048

Mathematical Reviews number (MathSciNet)
MR3784746

Zentralblatt MATH identifier
06887982

#### Citation

Zhao, Cao; Chen, Ercai. On the topological pressure of the saturated set with non-uniform structure. Topol. Methods Nonlinear Anal. 51 (2018), no. 1, 313--329. doi:10.12775/TMNA.2017.048. https://projecteuclid.org/euclid.tmna/1516244426

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