Hae

Classically, multidimensional symbolic dynamics studies colorings of the integer grid of different dimensions with finitely many colors. In this thesis, a configuration is a coloring of either the d-dimensional integer ...

This thesis is comprised of four articles in multiplicative number theory, a subfield of analytic number theory that studies questions related to prime numbers and multiplicative functions. A central principle in multiplicative ...

This dissertation used a phenomenological approach to explore beliefs regarding indicators of MLD that mathematics teachers, teacher educators, pre-service teachers, and high school students hold. In addition, the dissertation ...

Independent component analysis is a classical multivariate tool used for estimating independent sources among collections of mixed signals. However, modern forms of data are typically too complex for the basic theory to ...

This thesis comprises four articles in multiplicative and additive number theory, two subfields of analytic number theory, concerning e.g. the distribution of primes, multiplicative structures and additive structures. In ...

The focus of this thesis is in analyzing optimal stopping (OSP) and impulse control problems (ICP) of linear diffusions under regime switching and Poisson constraints. Regime switching means that the problem’s parameters ...

In this thesis we study questions on the distribution of primes and multiplicative orders modulo prime numbers. The problems are attacked using methods from analytic and algebraic number theory. In the first article, ...

Given a finite set of square tiles, the domino problem is the question of whether is it possible to tile the plane using these tiles. This problem is known to be undecidable in the planar case, and is strongly linked to ...

Modern technologies allow for the collection of large biological datasets that can be utilised for diverse health-related applications. However, to extract useful information from such data, computational methods are needed. ...