Hae

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. ...

This thesis introduces a new, algebraic method to study multidimensional configurations, also sometimes called words, which have low pattern complexity. This is the setting of several open problems, most notably Nivat’s ...

Ecological specialization in resource utilization has various facades ranging from nutritional resources via host use of parasites or phytophagous insects to local adaptation in different habitats. Therefore, the evolution ...

Construction of multiple sequence alignments is a fundamental task in Bioinformatics. Multiple sequence alignments are used as a prerequisite in many Bioinformatics methods, and subsequently the quality of such methods can ...

A graph consists of vertices that are connected by edges. A resolving set of a graph is a subset of its vertices that gives a unique combination of distances to every vertex of the graph. We can use the distances we are ...

This thesis studies properties of minimizers of variational integrals and solutions of partial differential equations with generalized Orlicz growth (also known as Musielak– Orlicz growth). This is continuation of regularity ...