16 citations · 43 across the 17 of their papers we have counts for
18 papers
Nonexistence of degree two rational multisections of conic bundles over the plane
Jeffrey Diller, Lena Ji, Eric Riedl
We prove that a standard conic bundle whose discriminant is very general of degree at least 18 admits no rational multisections of degree two. This…
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…
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…
Birational maps with transcendental dynamical degree
Jason Bell, Jeffrey Diller, Mattias Jonsson +1
We give examples of birational selfmaps of , whose dynamical degree is a transcendental number. This contradicts a conjecture by Bellon and Viallet. The pro…
A transcendental dynamical degree
Jason P. Bell, Jeffrey Diller, Mattias Jonsson
We give an example of a dominant rational selfmap of the projective plane whose dynamical degree is a transcendental number.
Entropy of real rational surface automorphisms
Jeffrey Diller, Kyounghee Kim
We compare real and complex dynamics for automorphisms of rational surfaces that are obtained by lifting \chg{some} quadratic birational maps of the plane. In particular, we show h…