On critical point for two-dimensional holomorphic systems

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let be a biholomorphism on a two-dimensional complex manifold, and let be a compact -invariant set such that is asymptotically dissipative and without periodic sinks. We introduce a solely dynamical obstruction to dominated splitting, namely critical point. Critical point is a dynamical object and captures many of the dynamical properties of a one-dimensional critical point.

Original languageEnglish
Pages (from-to)2276-2312
Number of pages37
JournalErgodic Theory and Dynamical Systems
Issue number7
StatePublished - 1 Oct 2017


Dive into the research topics of 'On critical point for two-dimensional holomorphic systems'. Together they form a unique fingerprint.

Cite this