Robust exponential decay of correlations for singular-flows

Details Robust exponential decay of correlations for singular-flows Robust exponential decay of correlations for singular-flows

2011-01-14

arxiv.org/abs/1101.2915v3

Commun. Math. Phys. (2012) 311:215-246

Mathematics

Dynamical Systems

Final version accepted for publication; 3 figures, 34 pages; minor changes in the main statements and full revision of the res

Scientific paper

10.1007/s00220-012-1445-8

We construct open sets of Ck (k bigger or equal to 2) vector fields with
singularities that have robust exponential decay of correlations with respect
to the unique physical measure. In particular we prove that the geometric
Lorenz attractor has exponential decay of correlations with respect to the
unique physical measure.

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