Karl-Olof Lindahl

Hello! I am Professor in Mathematics at LNU. Before my present position at LNU I also worked as postdoc at Brown University, Pontífica Universidad Católica de Chile and Universidad de Santiago de Chile.

Teaching

At the moment I teach

Discrete Mathematics and Mathematical Thinking
Applied Probability and Statistics
Ordinary Differential Equations
Research methodology for mathematical sciences

I am also head supervisor for a PhD student, Björn Lindenberg, working in the field of artificial intelligence and dynamical systems. I have been head supervisor of Jonas Nordqvist who had his dissertation February 2020.

Research

Random and Deterministic Dynamical Systems, Number Theory, Machine Learning and Artificial Intelligence (AI). Together with Jonas Nordqvist and Björn Lindenberg we work on a project in Reinforcement Learning which addresses the question of controlling a dynamical system as to maximize the total accumulated reward over time. We are also part of a project with Kalmar Energi in optimizing the efficiency of district heating plants using AI.

International collaborators are Juan Rivera-Letelier (University of Rochester), Mike Zieve (Univ. of Michigan), Charles Favre (École Polytechnique, Paris). Youssef Fares (Universite de Picardie).
Before my present position at LNU I did postdocs at Brown University, Pontífica Universidad Católica de Chile and Universidad de Santiago de Chile.
I have also worked as guest researcher at Université de Picardie, Amiens,

Commissions

Member of the board of the faculty of technology (FTK)
Coordinator for degree projects in mathematics
Elaborator of a new program in Engineering Mathematics
Scientific leadsr of the research group in Artificial Intelligence and Machine Learning at LNU

My research groups

My ongoing research projects

Publications

Article in journal (Refereed)

Lindenberg, B., Nordqvist, J., Lindahl, K. (2020). Distributional reinforcement learning with ensembles. Algorithms. 13 (5). 1-13.
Status: Published
Lindahl, K., Nordqvist, J. (2018). Geometric location of periodic points of 2-ramified power series. Journal of Mathematical Analysis and Applications. 465 (2). 762-794.
Status: Published
Lindahl, K., Rivera-Letelier, J. (2016). Generic parabolic points are isolated in positive characteristic. Nonlinearity. 29 (5). 1596-1621.
Status: Published
Lindahl, K., Rivera-Letelier, J. (2016). Optimal cycles in ultrametric dynamics and minimally ramified power series. Compositio Mathematica. 152 (01). 187-222.
Status: Published
Lindahl, K. (2013). The size of quadratic p-adic linearization disks. Advances in Mathematics. 248. 872-894.
Status: Published
Lindahl, K. (2010). Applied Algebraic Dynamics. P-Adic Numbers, Ultrametric Analysis, and Applications. 2 (4). 360-362.
Status: Published
Lindahl, K. (2010). Divergence and convergence of conjugacies in non-Archimedean dynamics. Contemporary Mathematics. 508. 89-109.
Status: Published
Lindahl, K., Zieve, M. (2010). On Hyperbolic Fixed Points in Ultrametric Dynamics. P-Adic Numbers, Ultrametric Analysis, and Applications. 2 (3). 232-240.
Status: Published
Lindahl, K. (2009). Linearization in Ultrametric Dynamics in Fields of Characteristic Zero — Equal Characteristic Case. P-Adic Numbers, Ultrametric Analysis, and Applications. 1 (4). 307-316.
Status: Published
Lindahl, K. (2004). On Siegel's linearization theorem for fields of prime characteristic. Nonlinearity. 17 (3). 745-763.
Status: Published
Lindahl, K., Gundlach, M., Khrennikov, A. (2001). On Ergodic Behavior of p-adic dynamical systems. Infin. Dimens. Anal. Quantum Probab. Relat. Top.. 4 (4). 569-577.
Status: Published
Albeverio, S., Gundlach, M., Khrennikov, A., Lindahl, K. (2001). On the Markovian Behavior of p-Adic Random Dynamical Systems. Russ. J. Math. Phys.. 8 (2). 135-152.
Status: Published

Conference paper (Refereed)

Lindenberg, B., Nordqvist, J., Lindahl, K. (2022). Conjugated Discrete Distributions for Distributional Reinforcement Learning. Proceedings of the AAAI Conference on Artificial Intelligence. 7516-7524.
Lindahl, K. (2002). Some results on convergence of conjugating functions over non-Archimedean fields. Dynamical systems from number theory to physics - 2. 67-77.

Doctoral thesis, monograph (Other academic)

Lindahl, K. (2007). On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point. Doctoral Thesis. Växjö, Växjö University Press. 160.

Manuscript (preprint) (Other academic)

Article, book review (Other (popular science, discussion, etc.))

Lindahl, K. (2006). Uniqueness for p-adic meromorphic products. Mathematical Reviews.
Status: Published