2 papers
math.DS2025
Energy, equilibrium measure and entropy for toric surface maps
Jeffrey Diller, Roland Roeder
We consider the ergodic theory of plane rational maps that preserve the natural holomorphic volume form on the algebraic torus. Specifically we construct natural invariant probabil…
math.DS2024
Equidistribution without stability for toric surface maps
Jeffrey Diller, Roland Roeder
We prove an equidistribution result for iterated preimages of curves by a large class of rational maps that cannot be birationally con…