Pure Mathematics: Recent submissions
Now showing items 86-90 of 90
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Intersection problems in combinatorics
(University of St Andrews, 2009-11-30) - ThesisWith the publication of the famous Erdős-Ko-Rado Theorem in 1961, intersection problems became a popular area of combinatorics. A family of combinatorial objects is t-intersecting if any two of its elements mutually ... -
Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems
(University of St Andrews, 2009-06-24) - ThesisIn the first part of this thesis we transfer a result of Guillopé et al. concerning the number of zeros of the Selberg zeta function for convex cocompact Schottky groups to the setting of certain types of graph ... -
Inhomogeneous self-similar sets and measures
(University of St Andrews, 2008) - ThesisThe thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneous self-similar sets and measures. In particular, we show that these sets and measures are natural generalizations of ... -
Simplicity in relational structures and its application to permutation classes
(University of St Andrews, 2007-11-30) - ThesisThe simple relational structures form the units, or atoms, upon which all other relational structures are constructed by means of the substitution decomposition. This decomposition appears to have first been introduced in ... -
On permutation classes defined by token passing networks, gridding matrices and pictures : three flavours of involvement
(University of St Andrews, 2007-06-19) - ThesisThe study of pattern classes is the study of the involvement order on finite permutations. This order can be traced back to the work of Knuth. In recent years the area has attracted the attention of many combinatoralists ...