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    • 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 ...

    • Machine learning and computational methods to identify molecular and clinical markers for complex diseases – case studies in cancer and obesity 

      Seyednasrollah, Fatemeh
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis, Ser A I: Astronomica, Chemica, Mathematica : 663 (Turun yliopisto, 04.02.2022)
      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 ...

    • Mathematical modelling and numerical simulation of physical cloud processes in a wide range of spatiotemporal scales 

      Ahola, Jaakko
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis, Ser AI: Astronomica - Chemica - Physica – Mathematica : 704 (Turun yliopisto, 15.12.2023)
      The mathematical modelling and numerical simulation of clouds and climate include numerous phenomena that are tough nuts to crack as they cover a wide range of spatiotemporal scales. In many ways, time is a vital factor, ...

    • Mathematical modelling and survival prediction in cancer 

      Halkola, Anni S.
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis, Ser A I: Astronomica, Chemica, Physica, Mathematica : 674 (Turun yliopisto, 02.12.2022)
      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 ...

    • 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)

    • Modeling and prediction of advanced prostate cancer 

      Laajala, Teemu Daniel
      Turun yliopiston julkaisuja. Sarja AI: Astronomica – Chemica – Physica – Mathematica : 594 (Turun yliopisto, 16.11.2018)
      Background: Prostate cancer (PCa) is the most commonly diagnosed cancer and second leading cause of cancer-related deaths for men in Western countries. The advanced form of the disease is life-threatening with few options ...

    • Modern approaches to classical additive problems 

      Salmensuu, Juho
      Turun yliopiston julkaisuja - Annales Universitatis Turkuensis, Ser A I: Astronomica, Chemica, Mathematica : 667 (Turun yliopisto, 05.05.2022)
      In this thesis, we study additive problems using the transference principle and the Hardy-Littlewood circle method. The problems studied are related to Waring's prolem and Goldbach's conjecture. Waring's problem states ...

    • Numbers and Languages 

      Lehtinen, Tommi J.M.
      TUCS Dissertations : 158 (Turku Centre for Computer Science, 15.03.2013)
      The thesis presents results obtained during the authors PhD-studies. First systems of language equations of a simple form consisting of just two equations are proved to be computationally universal. These are systems over ...

    • On Commutation and Conjugacy of Rational Languages and the Fixed Point Method 

      Salmela, Petri
      TUCS Dissertations : 115 (Turku Centre for Computer Science, 03.04.2009)
      The research on language equations has been active during last decades. Compared to the equations on words the equations on languages are much more difficult to solve. Even very simple equations that are easy to solve for ...

    • On Distributed Storage Codes 

      Ernvall, Toni
      TUCS Dissertations : 192 (Turku Centre for Computer Science, 13.02.2015)
      Distributed storage systems are studied. The interest in such system has become relatively wide due to the increasing amount of information needed to be stored in data centers or different kinds of cloud systems. There are ...

    • On Hyperbolic Type Metrics 

      Klén, Riku
      Annales Academiæ Scientiarum Fennicæ Mathematica Dissertationes : 152 (Suomalainen tiedeakatemia, 20.03.2009)

    • On Identifying and Locating-Dominating Codes 

      Junnila, Ville
      TUCS Dissertations : 137 (Turku Centre for Computer Science, 22.06.2011)

    • On Identifying and Locating-Dominating Codes in the Infinite King Grid 

      Pelto, Mikko
      TUCS Dissertations : 155 (Turku Centre for Computer Science, 13.12.2012)

    • On Independent Component Analysis and Supervised Dimension Reduction for Time Series 

      Matilainen, Markus
      Turun yliopiston julkaisuja. Sarja AI: Astronomica – Chemica – Physica – Mathematica : 573 (Turun yliopisto, 02.02.2018)
      The main goal of this thesis work has been to develop tools to recover hidden structures, latent variables, or latent subspaces for multivariate and dependent time series data. The secondary goal has been to write ...

    • On Inner Products Involving Holomorphic Cusp Forms and Maass Forms 

      Suvitie, Eeva
      TUCS Dissertations : 123 (Turku Centre for Computer Science, 30.10.2009)