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math.DS2018
Dynamical pairs with an absolutely continuous bifurcation measure
Thomas Gauthier
In this article, we study algebraic dynamical pairs parametrized by an irreducible quasi-projective curve having an absolutely continuous bifurcation measure. We prove…
math.DS2018
The bifurcation measure has maximal entropy
Henry De Thélin, Thomas Gauthier, Gabriel Vigny
Let be a complex manifold and let be a holomorphic family of rational maps of degree of . We define a natural notion of entropy of bifu…
math.DS2018
Approximation of non-archimedean Lyapunov exponents and applications over global fields
Thomas Gauthier, Yusuke Okuyama, Gabriel Vigny
Let be an algebraically closed field of characteristic 0 that is complete with respect to a non-archimedean absolute value. We establish a locally uniform approximation formula…