2021/10/19 by de Thelin, Henry
#32Bxx #37B40 #37F10 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2110.09986
Let X be a compact complex manifold of dimension k and f:X \longrightarrow X be a dominating meromorphic map. We generalize the notion of topological entropy, by defining a quantity h(m,l)top(f) which measures the action of f on local analytic sets W of dimension l with W ⊂ f-n(Δ) where Δ is a local analytic set of dimension m. We give then inequalities between h(m,l)top(f) and Lyapounov exponents of suitable invariant measures.