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On weighted Poisson distributions and processes, with associated inference and applications
Published 2020Get full text
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A simulation study of the effect of target motion on sighting estimates of minke whale population density
Published 2016Get full text
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A probabilistic impact-focussed early warning system for flash floods in support of disaster management in South Africa
Published 2015Get full text
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Trends, problems, and solutions in causality and reinforcement learning
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Classical, quantum and numerical aspects of modified theories of gravity
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A study of integrability conditions for irrotational dust spacetimes
Published 2016Get full text
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Valuing risky income streams in incomplete markets
Published 2014Get full text
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Point symmetry methods for Itô Stochastic Differential Equations (SDE) with a finite jump process
Published 2017“…The mixture of Wiener and a Poisson processes are the primary tools used in creating jump-diffusion process which is very popular in mathematical modeling. In financial mathematics, they are used to describe the change of stock rates and bonanzas, and they are often used in mathematical biology modeling and population dynamics. …”
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Finite system size effects on the effective coupling in scalar quantum field theory
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Improvement of solid phase transition simulations, by developing the supporting database
Published 2014Get full text
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Aspects of spectral theory for algebras of measurable operators
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Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems
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Walking the bridge from single- to multi-species approaches in Southern African fisheries management
Published 2023“…Strengths include the structured parameterisation :framework, the inclusion of a well-balanced level of conceptual realism, a novel representation of predator-prey interaction terms and the inclusion of a Bayes-like approach (ECORANGER) to take account of the uncertainty associated with values for model inputs. The potential of EwE to contribute to five important multi-species management quandaries in the marine environments off southern Africa and Antarctica is assessed, leading to the conclusion that EwE has limited predictive capability in these contexts. 3 Aspects of the potential application of other multi-species/ecosystem modelling approaches to advise the management of South African fisheries are discussed. …”
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Extended theories of gravity: the early universe and stellar interiors
Published 2026“…This thesis explores two central themes within extended theories of general relativity: the cosmological dynamics of the early universe and the formulation of mathematical frameworks for modeling relativistic stars, with the overarching aim of testing and constraining model parameters in modified gravity. …”
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