• 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 ...
    • 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, ...
    • 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 ...
    • Hierarchy and Expansiveness in Two-Dimensional Subshifts of Finite Type 

      Zinoviadis, Charalampos
      TUCS Dissertations : 209 (Turku Centre for Computer Science, 11.03.2016)
      Subshifts are sets of configurations over an infinite grid defined by a set of forbidden patterns. In this thesis, we study two-dimensional subshifts offinite type (2D SFTs), where the underlying grid is Z2 and the ...
    • Hyperbolic type metrics and distortion of quasiconformal map pings 

      Zhang, Xiaohui
      Turun yliopiston julkaisuja. Sarja AI, Chemica - Physica – Mathematica : 462 (Turun yliopisto, 23.05.2013)
      This Ph.D. thesis consists of four original papers. The papers cover several topics from geometric function theory, more specifically, hyperbolic type metrics, conformal invariants, and the distortion properties of ...
    • Hyperbolic type metrics in geometric function theory 

      Hariri, Parisa
      Turun yliopiston julkaisuja. Sarja AI: Astronomica – Chemica – Physica – Mathematica : 578 (Turun yliopisto, 17.03.2018)
      The research area of this thesis is Geometric Function Theory, which is a subfield of mathematical analysis. The thesis consists of four published papers. Prepublication versions of these papers are available on the www-pages ...
    • Independent component analysis for non-standard data structures 

      Virta, Joni
      Turun yliopiston julkaisuja. Sarja AI: Astronomica - Chemica - Physica – Mathematica : 577 (Turun yliopisto, 13.04.2018)
      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 ...
    • Mathematics inspired by Darwin. Adaptive dynamics of dispersal and cooperation 

      Seppänen, Anne
      Turun yliopiston julkaisuja. Sarja AI, Chemica - Physica – Mathematica : 482 (Turun yliopisto, 07.02.2014)
      In 1859, Charles Darwin published his theory of evolution by natural selection, the process occurring based on fitness benefits and fitness costs at the individual level. Traditionally, evolution has been investigated by ...
    • Mechanistic population Models in Biology: Model Derivation and Application 

      Eskola, Hanna
      Turun yliopiston julkaisuja. Sarja AI, Chemica - Physica – Mathematica : 400 (Turun yliopisto, 24.09.2009)
      In general, models of ecological systems can be broadly categorized as ’top-down’ or ’bottom-up’ models, based on the hierarchical level that the model processes are formulated on. The structure of a top-down, also known ...
    • Metrics of Hyperbolic Type and Moduli of Continuity of Maps 

      Wang, Gendi
      Turun yliopiston julkaisuja. Sarja AI, Chemica - Physica – Mathematica : 466 (Turun yliopisto, 13.08.2013)