5 papers
Residual Transitivity implies Minimality for Markoff Surfaces over -adic Integers, by Means of -adic Flows
Seung Uk Jang
Let be the non-singuar locus of the Markoff surface and consider the set of its -adic integer points . It is kno…
Orbits of automorphism groups of affine surfaces over -adic fields
Serge Cantat, Seung Uk Jang
We study orbit closures and stationary measures for groups of automorphisms of -adic affine surfaces.
Tropical Dynamics of Markov Surfaces
Seung uk Jang
We discuss the algebraic dynamics on Markov cubics generated by Vieta involutions, in the tropicalized setting. It turns out that there is an invariant subset of the tropicalized M…
Kummer Rigidity for Hyperkähler Automorphisms
Seung uk Jang
We show that a holomorphic automorphism on a projective hyperkähler manifold that has positive topological entropy and has volume measure as the measure of maximal entropy, is nece…
Quantum unique ergodicity and the number of nodal domains of eigenfunctions
Seung Uk Jang, Junehyuk Jung
We prove that the Hecke--Maass eigenforms for a compact arithmetic triangle group have a growing number of nodal domains as the eigenvalue tends to . More generally the sa…