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Aineistot 1-10 / 17
On Problems of optimal timing under regime switching and poisson constraints
(Turun yliopisto, 2024-11-29)
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 ...
Problems in Analytic and Algebraic Number Theory
(Turun yliopisto, 2023-06-16)
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, ...
Extracting information from high-throughput gene expression data with pathway analysis and deconvolution
(Turun yliopisto, 2022-05-06)
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. ...
On using distances to locate vertices: resolving sets and metric bases of graphs, two generalisations and their forced vertices
(Turun yliopisto, 2021-06-18)
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 ...
On Poisson constrained control of linear diffusions
(Turun yliopisto, 2023-06-02)
The classical setting in optimal stopping and optimal control theory assumes that the agent controlling the system can operate continuously in time. In optimal stopping this setting is highly stylized for many applications, ...
Mathematical modelling and survival prediction in cancer
(Turun yliopisto, 2022-12-02)
Cancer is one of the leading causes of death, thus opening a vast need for extensive research and insights. The survival prospects, along with treatment benefits and costs (economical or health-related), can be predicted ...
On some modifications and applications of the post correspondence problem
(Turun yliopisto, 2022-03-04)
The Post Correspondence Problem was introduced by Emil Post in 1946. The problem considers pairs of lists of sequences of symbols, or words, where each word has its place on the list determined by its index. The Post ...
Approximations to Landau’s problems on prime numbers
(Turun yliopisto, 2021-04-26)
In this thesis we study the distribution of prime numbers by considering approximations to fundamental open conjectures about them. The conjectures in question are the so-called Landau’s problems, named after Edmund Landau ...
Machine learning and computational methods to identify molecular and clinical markers for complex diseases – case studies in cancer and obesity
(Turun yliopisto, 2022-02-04)
In biomedical research, applied machine learning and bioinformatics are the essential disciplines heavily involved in translating data-driven findings into medical practice. This task is especially accomplished by developing ...
Metrics and Quasiconformal Maps
(Turun yliopisto, 2024-06-26)
Tiivistelmä
Tutkin väitöskirjassani klassillisen analyysin alueeseen kuuluvaa geometrista funktioteoriaa. Tutkimuskohteena ovat konformi- ja kvasikonformikuvaukset sekä harmoniset kuvaukset ja näiden ominaisuudet. Eräs ...