8 citations · 34 across the 12 of their papers we have counts for
9 papers · 1 filter
Geometric location of periodic points of 2-ramified power series
Karl-Olof Lindahl, Jonas Nordqvist
In this paper we study the geometric location of periodic points of power series defined over fields of prime characteristic . More specifically, we find a lower bound for the a…
Generic parabolic points are isolated in positive characteristic
Karl-Olof Lindahl, Juan Rivera-Letelier
We study analytic germs in one variable having a parabolic fixed point at the origin, over an ultrametric ground field of positive characteristic. It is conjectured that for such a…
The size of quadratic -adic linearization disks
Karl-Olof Lindahl
We find the exact radius of linearization disks at indifferent fixed points of quadratic maps in . We also show that the radius is invariant under power series pertur…
Optimal cycles in ultrametric dynamics and minimally ramified power series
Karl-Olof Lindahl, Juan Rivera-Letelier
We study ultrametric germs in one variable having an irrationally indifferent fixed point at the origin with a prescribed multiplier. We show that for many values of the multiplier…
On hyperbolic fixed points in ultrametric dynamics
Karl-Olof Lindahl, Michael Zieve
Let K be a complete ultrametric field. We give lower and upper bounds for the size of linearization discs for power series over K near hyperbolic fixed points. These estimates are…
Divergence and convergence of conjugacies in non-Archimedean dynamics
Karl-Olof Lindahl
We continue the study in [21] of the linearizability near an indif- ferent fixed point of a power series f, defined over a field of prime characteristic p. It is known since the wo…
Linearization in ultrametric dynamics in fields of characteristic zero - equal characteristic case
Karl-Olof Lindahl
Let be a complete ultrametric field of charactersitic zero whose corresponding residue field is also of charactersitic zero. We give lower and upper bounds for the size…
Estimates of linearization discs in -adic dynamics with application to ergodicity
Karl-Olof Lindahl
We give lower bounds for the size of linearization discs for power series over . For quadratic maps, and certain power series containing a `sufficiently large' quadra…
On ergodic behavior of -adic dynamical systems
Matthias Gundlach, Andrei Khrennikov, Karl-Olof Lindahl
Monomial mappings, , are topologically transitive and ergodic with respect to Haar measure on the unit circle in the complex plane. In this paper we obtain an anologo…