activity
20042023
most citedGeneric parabolic points are isolated in positive characteristic

8 citations · 34 across the 12 of their papers we have counts for

collaborators

13 papers

cs.LG2023

Thompson Sampling for Linear Bandit Problems with Normal-Gamma Priors

Björn Lindenberg, Karl-Olof Lindahl

We consider Thompson sampling for linear bandit problems with finitely many independent arms, where rewards are sampled from normal distributions that are linearly dependent on unk…

cs.LG2021

Conjugated Discrete Distributions for Distributional Reinforcement Learning

Björn Lindenberg, Jonas Nordqvist, Karl-Olof Lindahl

In this work we continue to build upon recent advances in reinforcement learning for finite Markov processes. A common approach among previous existing algorithms, both single-acto…

cs.LG2020★ 2 cited

Distributional Reinforcement Learning with Ensembles

Björn Lindenberg, Jonas Nordqvist, Karl-Olof Lindahl

It is well known that ensemble methods often provide enhanced performance in reinforcement learning. In this paper, we explore this concept further by using group-aided training wi…

math.DS2017★ 4 cited

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…

math.DS2015★ 8 cited

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…

math.DS2013★ 7 cited

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…

math.DS2013★ 6 cited

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…

math.DS2011★ 3 cited

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…

math.DS2011

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…

math.DS2011★ 2 cited

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…

math.DS2009★ 2 cited

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…

math.DS2008

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…

nlin.CG2004

On Markovian behaviour of -adic random dynamical systems

Sergio Albeverio, Matthias Gundlach, Andrei Khrennikov +1

We study Markovian and non-Markovian behaviour of stochastic processes generated by -adic random dynamical systems. Given a family of -adic monomial random mappings generatin…