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Title: 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:
;  [1]
  1. 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}
}