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    • Adaptive Dynamics of Resource Specialization 

      Nurmi, Tuomas
      Turun yliopiston julkaisuja. Sarja AI, Chemica - Physica – Mathematica : 508 (Turun yliopisto, 13.03.2015)
      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 ...

    • An Algebraic Approach to Nivat's Conjecture 

      Szabados, Michal
      TUCS Dissertations : 234 (Turku Centre for Computer Science, 17.08.2018)
      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 ...

    • Analysis of High-dimensional and Left-censored Data with Applications in Lipidomics and Genomics 

      Pesonen, Maiju
      Turun yliopiston julkaisuja. Sarja AI, Chemica - Physica – Mathematica : 548 (Turun yliopisto, 24.11.2016)
      Recently, there has been an occurrence of new kinds of high- throughput measurement techniques enabling biological research to focus on fundamental building blocks of living organisms such as genes, proteins, and lipids. ...

    • Applications in bioinformatics with Markov models 

      Robinson, Sean (Turun yliopisto, 01.06.2018)
      In this thesis we present four applications in bioinformatics with Markov models. That is, we extend the use of such models in the mathematical and statistical analysis of biological data. The data we consider are drawn ...

    • Approximations to Landau’s problems on prime numbers 

      Merikoski, Jori
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis, Ser A I: Astronomica, Chemica, Physica, Mathematica : 644 (Turun yliopisto, 26.04.2021)
      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 ...

    • Around the Domino Problem – Combinatorial Structures and Algebraic Tools 

      Moutot, Etienne
      TUCS Dissertations : 254 (Turku Centre for Computer Science, 15.07.2020)
      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 ...

    • Beliefs about mathematics learning difficulties: opportunities for learning - A Namibian study 

      Hamukwaya, Shemunyenge Taleiko
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis, Ser A I: Astronomica, Chemica, Mathematica : 700 (Turun yliopisto, 26.10.2023)
      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 ...

    • Bundle methods in nonsmooth DC optimization 

      Joki, Kaisa
      Turun yliopiston julkaisuja. Sarja AI, Astronomica-Chemica-Physica-Mathematica : 585 (Turun yliopisto, 21.06.2018)
      Due to the complexity of many practical applications, we encounter optimization problems with nonsmooth functions, that is, functions which are not continuously differentiable everywhere. Classical gradient-based methods ...

    • Cellular automata with complicated dynamics 

      Kopra, Johan
      TUCS Dissertations : 249 (Turun yliopisto, 13.12.2019)
      A subshift is a collection of bi-infinite sequences (configurations) of symbols where some finite patterns of symbols are forbidden to occur. A cellular automaton is a transformation that changes each configuration of a ...

    • Class Field Theoretic Methods in the Design of Lattice Signal Constellations 

      Vehkalahti, Roope
      TUCS Dissertations : 100 (Turku Centre for Computer Science, 16.04.2008)

    • Combinatorics of Pisot Substitutions 

      Jolivet, Timo
      TUCS Dissertations : 164 (Turku Centre for Computer Science, 25.11.2013)

    • Combinatorics on Words. New Aspects on Avoidability, Defect Effect, Equations and Palindromes 

      Huova, Mari
      TUCS Dissertations : 172 (Turku Centre for Computer Science, 11.04.2014)
      In this thesis we examine four well-known and traditional concepts of combinatorics on words. However the contexts in which these topics are treated are not the traditional ones. More precisely, the question of avoidability ...

    • Conservation Laws in Cellular Automata 

      Taati, Siamak
      TUCS Dissertations : 116 (Turku Centre for Computer Science, 17.04.2009)
      Conservation laws in physics are numerical invariants of the dynamics of a system. In cellular automata (CA), a similar concept has already been defined and studied. To each local pattern of cell states a real value is ...

    • Defining Contexts in Context-Free Grammars 

      Barash, Mikhail
      TUCS Dissertations : 204 (Turku Centre for Computer Science, 25.09.2015)
      This thesis introduces an extension of Chomsky’s context-free grammars equipped with operators for referring to left and right contexts of strings.The new model is called grammar with contexts. The semantics of ...

    • Efficient Optimization Algorithms for Nonlinear Data Analysis 

      Pulkkinen, Seppo
      TUCS Dissertations : 189 (Turku Centre for Computer Science, 05.12.2014)
      Identification of low-dimensional structures and main sources of variation from multivariate data are fundamental tasks in data analysis. Many methods aimed at these tasks involve solution of an optimization problem. Thus, ...

    • Exploring novel ways to improve the MRI-based image segmentation in the head region 

      Lindén, Jani
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis AI: : 709 (Turun yliopisto, 19.04.2024)
      Accurate electron density information is extremely important in positron emission tomography (PET) attenuation correction (AC) and radiotherapy (RT) treatment planning (RTP), especially in the head region, as many interesting ...

    • Extracting information from high-throughput gene expression data with pathway analysis and deconvolution 

      Jaakkola, Maria
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis, Ser A I: Astronomica, Chemica, Physica, Mathematica : 668 (Turun yliopisto, 06.05.2022)
      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. ...

    • Garbling Schemes and Applications 

      Nieminen, Noora
      TUCS Dissertations : 219 (Turku Centre for Computer Science, 17.03.2017)
      The topic of this thesis is garbling schemes and their applications. A garbling scheme is a set of algorithms for realizing secure two-party computation. A party called a client possesses a private algorithm ...

    • Generalized Orlicz spaces and partial differential equations with application to image restoration 

      Baruah, Debangana
      Turun yliopiston julkaisuja. Sarja A I, Chemica - Physica – Mathematica : 677 (Turun yliopisto, 11.11.2022)
      The research area of this thesis is nonlinear functional analysis, a branch of Mathematics which examines questions related to qualitative aspects of solution of a differential equation, such as existence, uniqueness, ...

    • Geometry of Intrinsic Metrics 

      Rainio, Oona
      Turun yliopiston julkaisuja. Sarja AI: Astronomica – Chemica – Physica – Mathematica : 650 (Turun yliopisto, 03.09.2021)
      The study of intrinsic metrics is an interesting area of research in the geometric function theory, which is a subfield of mathematical analysis. The topics of research include quasiregular mappings, conformal capacity and ...