4 papers
J-Stability in non-archimedean dynamics
Robert L. Benedetto, Junghun Lee
Let be a complete, algebraically closed non-archimedean field, and let be a rational function of degree . If satisfies a bounded contraction cond…
The Values of the Riemann Zeta-Function on Discrete Sets
Junghun Lee, Athanasios Sourmelidis, Jörn Steuding +1
We study the values taken by the Riemann zeta-function on discrete sets. We show that infinite vertical arithmetic progressions are uniquely determined by the values of tak…
An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics
Junghun Lee
We will see an alternative proof of the non-Archimedean Montel theorem, which is also called Hsia's criterion, for polynomial dynamics.
-Stability of immediately expanding rational maps in non-Archimedean dynamical systems
Junghun Lee
The aim of this paper is to show -stability of immediately expanding rational maps over an algebraically closed, complete, and non-Archimedean field, which is an analogue of R.…