Sökning: "Karl-Olof Lindahl"

Hittade 4 avhandlingar innehållade orden Karl-Olof Lindahl.

1. 1. On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point

   Författare :Karl-Olof Lindahl; Andrei Khrennikov; Franco Vivaldi; Växjö universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; dynamical system; linearization; conjugation; non-Archimedean field; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; Matematik;

   Sammanfattning : We consider the problem of local linearization of power series defined over complete valued fields. The complex field case has been studied since the end of the nineteenth century, and renders a delicate number theoretical problem of small divisors related to diophantine approximation. LÄS MER

3. 2. Reinforcement Learning and Dynamical Systems

   Författare :Björn Lindenberg; Karl-Olof Lindahl; Marc G. Bellemare; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; artificial intelligence; distributional reinforcement learning; Markov decision processes; Bellman operators; deep learning; multi-armed bandits; Bayesian bandits; conjugate priors; Thompson sampling; linear finite dynamical systems; cycle orbits; fixed-point systems; Mathematics; Matematik; Computer Science; Datavetenskap;

   Sammanfattning : This thesis concerns reinforcement learning and dynamical systems in finite discrete problem domains. Artificial intelligence studies through reinforcement learning involves developing models and algorithms for scenarios when there is an agent that is interacting with an environment. LÄS MER

4. 3. Ramification numbers and periodic points in arithmetic dynamical systems

   Författare :Jonas Nordqvist; Karl-Olof Lindahl; Johan Öinert; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; ramification numbers; local fields; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

   Sammanfattning : The field of discrete dynamical systems is a rich and active field of research within mathematics, with applications ranging from biology to computer science, finance, engineering and various others. In this thesis properties of certain discrete dynamical systems are studied together with number theoretic properties of the functions defining these systems. LÄS MER

5. 4. Residue fixed point index and wildly ramified power series

   Författare :Jonas Nordqvist; Karl-Olof Lindahl; Robert Laurent Benedetto; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; wildly ramified power series; residue fixed point index; formal invariant; iterative residue; ramification numbers; non-archimedean; discrete dynamical systems; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

   Sammanfattning : This thesis concerns discrete dynamical systems. These are systems where the dynamics is modeled by iterated functions. There are several applications of discrete dynamical system e.g. LÄS MER