Dynamics of fibered endomorphisms of P-k
Affiliation auteurs | Affiliation ok |
Titre | Dynamics of fibered endomorphisms of P-k |
Type de publication | Journal Article |
Year of Publication | 2021 |
Auteurs | Dupont C, Taflin J |
Journal | ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE |
Volume | 22 |
Pagination | 53-78 |
Type of Article | Article |
ISSN | 0391-173X |
Résumé | We study the structure and the Lyapunov exponents of the equilibrium measure of endomorphisms of P-k preserving a fibration. We extend the decomposition of the equilibrium measure obtained by Jonsson for polynomial skew products of C-2. We also show that the sum of the sectional exponents satisfies a Bedford-Jonsson formula when the fibration is linear, and that this function is plurisubharmonic on families of fibered endomorphisms. In particular, the sectional part of the bifurcation current is a closed positive current on the parameter space. |