Dr AJ (Gusti) van Zyl

Tel: +2712 420-2784
Fax: +2712 420-3893
E-mail: [email protected]
Office: Mathematics Building 2-26

Position: Senior Lecturer
Academic qualifications: MSc, PhD(Pret)
NRF rating: C2

Fields of interest: Functional analysis, stochastic processes

ORCID: Gusti van Zyl (0000-0002-1062-5413) - ORCID

Publications over the past five years

Journal articles

Khrennikov AY, Rosinger EE, Van Zyl AJ  Graded tensor products and the problem of tensor grade computation and reduction.  p-Adic Numbers, Ultrametric Analysis and Applications, 4(1)(2012), 20-26
Ackermann ER, Grobler TL, Kleynhans W, Olivier JC, Salmon BP, Van Zyl AJ  Cavalieri integration.  Quaestiones Mathematica, 35(2012), 265-296

Myburgh HC, Olivier JC, Van Zyl AJ  Reduced complexity turbo equalization using a dynamic Bayesian network.  EURASIP Journal on Advances in Signal Processing, 136(2012), 1-20
Grobler TL, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon BP, Penzhorn WT  Wu’s algorithm and its possible application in cryptanalysis.  African Journal of Mathematics and Computer Science Research 5(1)(2012), 1-8 
Grobler TL, Ackermann ER, Olivier JC, van Zyl AJ, Kleynhans W  Land cover separability analysis of MODIS time series data using a combined simple harmonic oscillator and a mean reverting stochastic process.  IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 5(3)(2012), 857-866

 Grobler TL, Ackermann ER, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon B  An inductive approach to simulating multispectral MODIS surface reflectance time series.  IEEE Geoscience and Remote Sensing Letters, 10(3)(2013), 446-450 
Grobler TL, Ackermann ER, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon B  Using Page’s Cumulative Sum Test on MODIS time series to detect land cover changes.  IEEE Geoscience and Remote Sensing Letters, 10(2)(2013), 332-336

Grobler TL, Nunhokee CD, Smirnov OM, Van Zyl AJ, De Bruyn AG  Calibration artefacts in radio interferometry. I. Ghost sources in Westerbork Synthesis Radio Telescope data.  Monthly Notices of the Royal Astronomical Society, 439(4)(2014), 4030-4047

García-Pacheco FJ, Puglisi D, Van Zyl AJ  Some more applications of the Hahn-Banach Theorem.  Journal of Convex Analysis, 21(1)(2014), 179-188

García-Pacheco FJ, Puglisi D, Van Zyl AJ  On i-operators on real normed spaces.  Quaestiones Mathematicae, 38(2)(2015), 257-270

Walters NM, Beyers FJC, Van Zyl AJ, Van den Heever RJ A framework for simulating systemic risk and its application to the South African banking sector. To appear in South African Actuarial Journal

Walters N, Beyers C, Van Zyl AJ Financial contagion in large, inhomogeneous stochastic interbank networks. Advances in Complex Systems Journal 22(2)(2019) 1950002 1-26

Viljoen JW, De Villiers JP, Van Zyl AJ, Mezzavilla M, Pepper MS Establishment and equilibrium levels of deleterious mutations in large populations. Nature Scientific Reports 9(2019) 10384 1 - 10

Guambe C, Kufakunesu R, van Zyl G, Beyers C  Optimal asset allocation for a DC plan with partial information under inflation and mortality risks. Communications in Statistics - Theory and Methods 50(9)(2021) 2048-2061

Guambe C, Kufakunesu R, van Zyl G, Beyers C Time consistent mean-variance asset allocation for a DC plan with regime switching under a jump-diffusion model. Japan Journal of Industrial and Applied Mathematics 39(1)(2022) 119 - 143

Wekwete TA, Kufakunesu R and van Zyl G, Application of deep reinforcement learning in asset liability management. Intelligent Systems with Applications 20(2023); 200286.

Conference Proceedings

Ackermann ER, Grobler .L, van Zyl AJ, Steenkamp KC, Olivier JC  Minimum error land cover separability analysis and classification of MODIS time series data.  In Yoshio Yamaguchi and Ya-Qiu Jin (Co-chairs), Proceedings of the 2011 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), (Vancouver, Canada), Institute of Electrical and Electronics Engineers Inc (IEEE 2011), pp 2999-3002, Article ID: 10.1109/IGARSS.2011.6049847, ISBN: 978-1-4577-1005-6

Khrennikov A, Rosinger EE, Van Zyl AJ  Graded tensor products and entanglement.  In M D'Ariano, F Shao-Ming, E Haven, BC Hiesmayr, AY. Khrennikov and J Larsson (eds), Foundations of Probability and Physics-6, (Växjö, Sweden), American Institute of Physics - AIP Conference Proceedings 1424, 2012, pp 189 - 194, ISBN-10: 0735410046, ISBN-13: 978-0735410046


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