... θ), n)-cover of Σ}, the minimal cardinality of an (h, (1 −θ), n)-cover of Σ.450 NALINI ANANTHARAMANRemember the notation: for C = [α0, . . . , αn−1] ∈ Σn,ˆChstands for the operatorˆCh= ... x)Js,tSn(x)ENTROPY AND THE LOCALIZATION OF EIGENFUNCTIONS 463and JSnis the jacobian of the geodesic flow acting on the lagrangian manifoldgenerated by Sn(defined as in (3.1.4) with ¯S0(p) ... Ωαk+1} the lagrangian manifold generated by Sk(t) , we haveLSk(t)⊂ gtLSk(0)= gtLSk−1(1). For an Anosov flow, the sphere bundle is transverse to the weak stable foliation. The lagrangian...