The spectrum of the pullback action on the big and ample divisor cones is exactly the cohomological Lyapunov exponents of the map and of its periodic subvarieties.
Comparison of dynamical degrees for semi-conjugate meromorphic maps
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Numerical action for endomorphisms
The spectrum of the pullback action on the big and ample divisor cones is exactly the cohomological Lyapunov exponents of the map and of its periodic subvarieties.