Recent Submissions

  • Euler Classes and Frobenius Algebras 

    Ranaivomanana, Valimbavaka Hosana (Stellenbosch : Stellenbosch University, 2019-04)
    ENGLISH ABSTRACT : This thesis investigates the relationship between the handle element of the De Rham cohomology algebra of a compact oriented smooth manifold, thought of as a Frobenius algebra, and the Euler class of ...
  • Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions 

    Prodinger, Helmut (De Gruyter, 2017)
    A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
  • Hopf and Lie algebras in semi-additive varieties 

    Porst, Hans E. (Logical Methods in Computer Science, 2017)
    We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor. These investigations are based on the concept of the ...
  • A duality theoretic perspective on recognisable languages 

    Rozanova, Julia (Stellenbosch : Stellenbosch University, 2019-04)
    ENGLISH ABSTRACT : A connection between recognisable languages and profinite identities is established through the composition of two famous theorems: Eilenberg’s theorem and Reiterman’s theorem. In this work, we present ...
  • An error correction neural network for stock market prediction 

    Mvubu, Mhlasakululeka (Stellenbosch : Stellenbosch University, 2019-04)
    ENGLISH ABSTRACT : Predicting stock market has long been an intriguing topic for research in different fields. Numerous techniques have been conducted to forecast stock market movement. This study begins with a review ...
  • Summations in Bernoulli's triangles via generating functions 

    Oliver, Kamilla; Prodinger, Helmut (University of Waterloo, 2017)
    We revisit sums along straight lines of indices in Bernoulli triangles, and emphasize the use of generating functions as the appropriate tool. This leads to more direct and extended results, compared with a recent paper ...
  • Mathematical models of Ebola virus disease with socio-economic dynamics 

    Djiomba Njankou, Sylvie Diane (Stellenbosch : Stellenbosch University, 2019-04)
    ENGLISH ABSTRACT : West Africa hosted the deadliest Ebola virus disease epidemic from 2013 to 2016 and one of the common characteristics of the affected countries is their status of being developing countries. Poor ...
  • Investigating diffusion on networks with long-range interactions: application to object clustering using the generalised heat kernel invariants 

    Nanyanzi, Alice (Stellenbosch : Stellenbosch University, 2018-12)
    ENGLISH ABSTRACT : Diffusion on networks is widely used to model dynamical processes on networks such as propagation of information through a social network for marketing purposes [79], spread of epidemics within a social ...
  • Forecasting stock returns: A comparison of five models 

    Ramuada, Vhahangwele Cedrick (Stellenbosch : Stellenbosch University, 2018-12)
    ENGLISH ABSTRACT : Forecasting the movement of stock returns prices has been of interest to researches for many decades. Due to the complex and chaotic nature of the stock market, it has been difficult for researches to ...
  • A stage structured model for HIV/AIDS in the presence of vertical transmission: The case of Ghana 

    Appaw, Raima Carol (Stellenbosch : Stellenbosch University, 2018-12)
    ENGLISH ABSTRACT :Vertical transmission remains a global problem with respect to HIV infection dynamics. It refers to the transmission of HIV from the mother to child during pregnancy, delivery and breastfeeding soon after ...
  • On the definable generalized Bohr compactification of SL(2,Qp) 

    Pillay, Nathan Lingamurthi (Stellenbosch : Stellenbosch University, 2018-12)
    ENGLISH ABSTRACT : This paper provides an overview of existing knowledge regarding the socalled definable generalized Bohr compactification of the group SL(2, Qp) of 2 × 2 matrices with determinant 1 and entries in Qp. ...
  • Modelling the role of correctional services on gangs : insights through a mathematical model 

    Nyabadza, F.; Ogbogbo, C. P.; Mushanyu, J. (Royal Society, 2017)
    Research has shown that gang membership increases the chances of offending, antisocial behaviour and drug use. Gang membership should be acknowledged as part of crime prevention and policy designs, and when developing ...
  • A categorical approach to lattice-like structures 

    Hoefnagel, Michael Anton (Stellenbosch : Stellenbosch University, 2018-12)
    ENGLISH ABSTRACT : This thesis is a first step in a categorical approach to lattice-like structures. Its central notion, that of a majority category, relates to the category of lattices, in a similar way as Mal’tsev ...
  • Robustness of rigid and adaptive networks to species loss 

    Nuwagaba, Savannah; Zhang, Feng; Hui, Cang (Public Library of Science, 2017)
    Controversies in the complexity-stability debate have been attributed to the methodologies used such as topological vs. dynamical approaches or rigid vs. adaptive foraging behaviour of species. Here, we use a bipartite ...
  • Host-seeking efficiency can explain population dynamics of the tsetse fly Glossina morsitans morsitans in response to host density decline 

    Lord, Jennifer S.; Mthombothi, Zinhle; Lagat, Vitalis K.; Atuhaire, Fatumah; Hargrove, John W. (Public Library of Science, 2017)
    Females of all blood-feeding arthropod vectors must find and feed on a host in order to produce offspring. For tsetse—vectors of the trypanosomes that cause human and animal African trypanosomiasis—the problem is more ...
  • On the inducibility of rooted trees 

    Dossou-Olory, Audace Amen Vioutou (Stellenbosch : Stellenbosch University, 2018-12)
    ENGLISH ABSTRACT : The density of appearances of a fixed tree in a larger tree is examined for rooted trees without vertices of outdegree 1 (also known as topological trees). Given a topological tree S with k leaves and ...
  • Analysis of tree spectra 

    Dadedzi, Kenneth (Stellenbosch : Stellenbosch University, 2018-12)
    ENGLISH ABSTRACT : We study the set of eigenvalues (spectrum) of the adjacency matrix, Laplacian matrix and the distance matrix of trees. In particular, we focus on the distribution of eigenvalues in the spectra of large ...
  • Modelling the potential role of media campaigns in ebola transmission dynamics 

    Njankou, Sylvie Diane Djiomba; Nyabadza, Farai (Hindawi Publishing Corporation, 2017)
    A six-compartment mathematical model is formulated to investigate the role of media campaigns in Ebola transmission dynamics. The model includes tweets or messages sent by individuals in different compartments. The media ...
  • Paths vs. stars in the local prole of trees 

    Czabarka, Eva; Szekely, Laszlo A.; Wagner, Stephan (Electronic Journal of Combinatorics, 2017)
    The aim of this paper is to provide an affirmative answer to a recent question by Bubeck and Linial on the local profile of trees.
  • Application of Smirnov words to waiting time distributions of runs 

    Freiberg, Uta; Heuberger, Clemens; Prodinger, Helmut (Electronic Journal of Combinatorics, 2017)
    Consider infinite random words over a finite alphabet where the letters occur as an i.i.d. sequence according to some arbitrary distribution on the alphabet. The expectation and the variance of the waiting time for the ...

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