# Induced topological pressure for topological dynamical systems

## Abstract

In this paper, inspired by the article [J. Jaerisch et al., Stochastics Dyn. 14, 1350016, pp. 1-30 (2014)], we introduce the induced topological pressure for a topological dynamical system. In particular, we prove a variational principle for the induced topological pressure.

- Authors:

- School of Mathematical Science, Nanjing Normal University, Nanjing 210023, Jiangsu (China)
- (China)

- Publication Date:

- OSTI Identifier:
- 22403108

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DEFORMATION; MATHEMATICAL SOLUTIONS; TOPOLOGY; VARIATIONAL METHODS

### Citation Formats

```
Xing, Zhitao, E-mail: xzt-303@163.com, School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, Guangdong, Chen, Ercai, E-mail: ecchen@njnu.edu.cn, and Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu.
```*Induced topological pressure for topological dynamical systems*. United States: N. p., 2015.
Web. doi:10.1063/1.4908554.

```
Xing, Zhitao, E-mail: xzt-303@163.com, School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, Guangdong, Chen, Ercai, E-mail: ecchen@njnu.edu.cn, & Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu.
```*Induced topological pressure for topological dynamical systems*. United States. doi:10.1063/1.4908554.

```
Xing, Zhitao, E-mail: xzt-303@163.com, School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, Guangdong, Chen, Ercai, E-mail: ecchen@njnu.edu.cn, and Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu. Sun .
"Induced topological pressure for topological dynamical systems". United States.
doi:10.1063/1.4908554.
```

```
@article{osti_22403108,
```

title = {Induced topological pressure for topological dynamical systems},

author = {Xing, Zhitao, E-mail: xzt-303@163.com and School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, Guangdong and Chen, Ercai, E-mail: ecchen@njnu.edu.cn and Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu},

abstractNote = {In this paper, inspired by the article [J. Jaerisch et al., Stochastics Dyn. 14, 1350016, pp. 1-30 (2014)], we introduce the induced topological pressure for a topological dynamical system. In particular, we prove a variational principle for the induced topological pressure.},

doi = {10.1063/1.4908554},

journal = {Journal of Mathematical Physics},

number = 2,

volume = 56,

place = {United States},

year = {Sun Feb 15 00:00:00 EST 2015},

month = {Sun Feb 15 00:00:00 EST 2015}

}

DOI: 10.1063/1.4908554

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.