Every ergodic f-invariant measure with entropy > log max{d_+^{p-1}, d_-^{k-p-1}} is supported on the Julia set J.
Rigidity of the Julia set for H\'enon-Sibony maps
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Let $f$ and $g$ be two H\'enon-Sibony maps of $\mathbb{C}^k$. We show that if they have the same forward Julia set, then they share a common iterate, thereby extending Lamy's results from dimension 2.
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the support of measures of large entropy for H\'enon-Sibony maps
Every ergodic f-invariant measure with entropy > log max{d_+^{p-1}, d_-^{k-p-1}} is supported on the Julia set J.