The Invariance Principle states that the disintegration of measures with zero center Lyapunov exponents admits extra invariance by holonomies.
Equilibrium states and the ergodic theory of Anosov diffeomorphisms , volume 470
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Invariance principle in dynamical systems
The Invariance Principle states that the disintegration of measures with zero center Lyapunov exponents admits extra invariance by holonomies.