C. Favre - Degeneration of measures of maximal entropy

Charles Favre (1) , Jérémy Magnien (2)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 IF - Institut Fourier

Consider any meromorphic family of endomorphisms of the complex projective plane parameterized by the punctured unit disk. We shall explain how to describe the behaviour of their measures of maximal entropy when one approaches the central fiber. This generalizes works by Demarco and Faber.

Mots clés: Grenoble; degeneration; measures; maximal entropy; Complex analytic and differential geometry 2017

Domaines: Géométrie différentielle [math.DG]

Charles Favre, Jérémy Magnien. C. Favre - Degeneration of measures of maximal entropy: Complex analytic and differential geometry 2017. 2017. ⟨medihal-01615203⟩