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Combinatorics on Words. New Aspects on Avoidability, Defect Effect, Equations and Palindromes
(Turku Centre for Computer Science, 2014-04-11)
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 ...
On Distributed Storage Codes
(Turku Centre for Computer Science, 2015-02-13)
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 ...
Mechanistic population Models in Biology: Model Derivation and Application
(Turun yliopistoAnnales Universitatis Turkuensis AI 400, 2009-09-24)
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 ...
Quasiconformal mappings and inequalities involving special functions
(Turun yliopistoAnnales Universitatis Turkuensis A I 420, 2011-06-20)
This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consists of four original papers. The topic studied deals with quasiconformal mappings and their distortion theory in Euclidean ...
Latinalaisten neliöiden muodostamisesta
(Turun yliopisto, 2012-04-25)
Conformal invariants
(Turun yliopisto, 2010-05-14)
This master thesis investigates the moduli of families of curves and the capacities of the Gr¨otzsch and Teichm¨uller rings, which are applied in the main parts of this
master thesis. The extremal properties of these rings ...
Garbling Schemes and Applications
(Turku Centre for Computer Science, 2017-03-17)
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 ...
Combinatorics of Pisot Substitutions
(Turku Centre for Computer Science, 2013-11-25)
On Undecidable Dynamical Properties of Reversible One-Dimensional Cellular Automata
(Turku Centre for Computer Science, 2010-10-29)
Cellular automata are models for massively parallel computation. A cellular automaton consists of cells which are arranged in some kind of regular lattice and a local update rule which updates the state of each cell according ...
Privileged Words and Sturmian Words
(Turku Centre for Computer Science, 2016-08-19)
This dissertation has two almost unrelated themes: privileged words and Sturmian words. Privileged words are a new class of words introduced recently. A word is privileged if it is a complete first return to a shorter ...