SRB measure for higher dimensional singular partially hyperbolic flows

Abstract

We prove the existence and uniqueness of the SRB measure for singular partially hyperbolic flow in dimension $d\ge 3$. The proof does not use Poincaré sectional maps, but uses basic properties of thermodynamic formalism.

To appear in Annales de l'Institut Fourier

References in corpus (1)

• Topological entropy of Lorenz-like flows

Cited by in corpus (3)

• Stochastic stability of sectional-Anosov flows
• Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability
• On robust expansiveness for sectional hyperbolic attracting sets