2 problems

Let $P(h)$ have a compact hyperbolic trapped set $K_E$ at energy $E$, and suppose the underlying manifold $M$ has effective meromorphic continuation of $(P(h)-z)^{-1}$. Resonance-f…

Let $d4d0\text{?}$ be an alphabet satisfying the special-alphabet condition, with $0,M-1 otinfumathcal A$, and let $d712$ be a cutoff equal to $1$ near the Cantor set $d54ad3f$. Le…