Mathematics Masters Theses
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Local Risk Minimization Under Time-Varying Transaction Costs
(North Dakota State University, 2010)Closely following the results of Lamberton, Pham, and Schweizer [5] we construct a locally risk-minimizing strategy in a general incomplete market including transactiou costs. This is done in dbcrete time under the ... -
Absolute Stability of a Class of Second Order Feedback Non-Linear, Time-Varying Systems
(North Dakota State University, 2010)In this thesis, we consider the problem of absolute stability of continuous time feedback systems with a single, time-varying nonlinearity. Necessary and sufficient conditions for absolute stability of second-order systems ... -
The Square of Adjacency Matrices
(North Dakota State University, 2011)It can be shown that any symmetric (0, 1)-matrix A with tr A = 0 can be interpreted as the adjacency matrix of a simple, finite graph. The square of an adjacency matrix A2 = (si1) has the property that Sij represents the ... -
A New Generalization of Cohen-Kaplansky Domains
(North Dakota State University, 2015)The goal of this thesis is to provide an new generalization of Cohen-Kaplansky domains, stemming from questions related to valuation domains. Recall that a Cohen-Kaplansky domain is an atomic integral domain that contains ... -
Bifurcation Portrait of a Hybrid Spiking Neuron Model
(North Dakota State University, 2012)A bifurcation portrait classifies the behavior of a dynamical system and how it transitions between different behaviors. A hybrid dynamical system displays both continuous and discrete dynamics and may display nonsmooth ...