# Dimensions of invariant measures for continuous random dynamical systems

## Abstract

We consider continuous random dynamical systems with jumps. We estimate the dimension of the invariant measures and apply the results to a model of stochastic gene expression.

- Authors:

- Institute of Mathematics, Silesian University, 40-007 Katowice (Poland)

- Publication Date:

- OSTI Identifier:
- 22391167

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; 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; COMPUTERIZED SIMULATION; DIMENSIONS; GENES; RANDOMNESS; STOCHASTIC PROCESSES

### Citation Formats

```
Bielaczyc, Tomasz, and Horbacz, Katarzyna.
```*Dimensions of invariant measures for continuous random dynamical systems*. United States: N. p., 2015.
Web. doi:10.1063/1.4913080.

```
Bielaczyc, Tomasz, & Horbacz, Katarzyna.
```*Dimensions of invariant measures for continuous random dynamical systems*. United States. doi:10.1063/1.4913080.

```
Bielaczyc, Tomasz, and Horbacz, Katarzyna. Tue .
"Dimensions of invariant measures for continuous random dynamical systems". United States.
doi:10.1063/1.4913080.
```

```
@article{osti_22391167,
```

title = {Dimensions of invariant measures for continuous random dynamical systems},

author = {Bielaczyc, Tomasz and Horbacz, Katarzyna},

abstractNote = {We consider continuous random dynamical systems with jumps. We estimate the dimension of the invariant measures and apply the results to a model of stochastic gene expression.},

doi = {10.1063/1.4913080},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1648,

place = {United States},

year = {Tue Mar 10 00:00:00 EDT 2015},

month = {Tue Mar 10 00:00:00 EDT 2015}

}

DOI: 10.1063/1.4913080

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