Variance Continuity for Lorenz Flows

Annales Henri Poincaré, vol. 21, pp. 1873–1892

Abstract

Abstract The classical Lorenz flow, and any flow which is close to it in the $$C^2$$ C2 -topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously.

Authors 3

1. Wael Bahsoun corresponding

   Loughborough University

   Affiliation as printed

   Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU UK

   Loughborough University;

2. Ian Melbourne

   University of Warwick

   Affiliation as printed

   Mathematics Institute, University of Warwick, Coventry, CV4 7AL UK

   University of Warwick

3. Marks Ruziboev Aachen Mathematisch Instituut

   Leiden University

   Affiliation as printed

   Mathematisch Instituut, Universiteit Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands

   Leiden University