QUASISTATIC DYNAMICS WITH INTERMITTENCY

Abstract. We study an intermittent quasistatic dynamical system composed of nonuni-formly hyperbolic Pomeau–Manneville maps with time-dependent parameters. We prove an ergodic theorem which shows almost sure convergence of time averages in a certain parameter range, and identify the unique physical family of measures. The theorem also shows convergence in probability in a larger parameter range. In the process, we estab-lish other results that will be useful for further analysis of the statistical properties of the model. Acknowledgements. This work was supported by the Jane and Aatos Erkko Founda-tion, and by Emil Aaltosen Säätiö. 1