6 citations · 8 across the 6 of their papers we have counts for
7 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 ergodic value distribution of certain meromorphic functions
Junghun Lee, Ade Irma Suriajaya
We calculate a certain mean-value of meromorphic functions by using specific ergodic transformations, which we call affine Boolean transformations. We use Birkhoff's ergodic theore…
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.…
The Artin-Mazur zeta functions of certain non-Archimedean dynamical systems
Junghun Lee
In this paper, we will prove the rationality of the Artin-Mazur zeta functions of some non-Archimedean dynamical systems.
-Stability of immediately expanding polynomial maps in -adic dynamics
Junghun Lee
Given a family of polynomial maps of degree where is the set of parameters, a polynomial map is called {\it -stable in } if there exist…