3 problems

Let $f:\mathbb{C}^2\rightarrow\mathbb{C}^2$ be a transcendental map. For each compact Kähler surface $X$ containing $\mathbb{C}^2$ as an open dense set, let $f_X$ be the associated…

Infinite Kähler-entropy conjecture. If $f$ is a generic transcendental map, then

Infinite-entropy conjecture. If $f$ is a generic transcendental map, then $h_{top}(f)$ is infinity. The conjecture proposes that generic transcendental dynamics on the complex plan…