Index Catalog // ScholarsArchive@OSU

Creator:: Donaghue, Patrick E.
Abstract:: In the 1954 John Nash [1] showed, through use of an iterative scheme of approximate embedding maps, that the sphere S² could be isometrically embedded into a ball of any radius by a C¹ map. In the 1980's M. Gromov [2] generalized Nash's work to the h-principal and convex integration....
Resource Type:: Masters Thesis

Creator:: Rekow, James Alexander
Abstract:: Fish mobility affects the distribution of commercially caught fish species in marine protected areas (MPAs) and unprotected areas, which we will call fishing grounds (FGs). Previous theoretical findings predicted that highly mobile fish would benefit little if at all from protection in MPAs (Demartini 1993, Walters et al. 1999). However,...
Resource Type:: Honors College Thesis

Creator:: Constantinescu, Corina D.
Abstract:: An insurance company, having an initial capital u, receives premiums continuously and pays claims of random sizes at random times. A classical result states that if the rate of premium, c, exceeds the average of the claims paid per unit time, ⋋μ, then the ruin probability decays exponentially fast as...
Resource Type:: Masters Thesis

Creator:: Arachchi Appuhamillage, Thilanka Iresh
Abstract:: This thesis consists of three subsequent parts addressing the applications of stochastic processes to the analysis and solutions of parabolic equations with discontinuous coefficients that are of mathematical interest. The first two parts consist of three manuscripts, in which we analyze solutions of Fickian convection dispersion equations with discontinuous coefficients...
Resource Type:: Dissertation

Creator:: Ramirez, Jorge M.
Abstract:: This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics. In the first manuscript, one dimensional diffusion and Burgers equation are considered. The Fourier transform of the solution to each PDE is represented as the expected...
Resource Type:: Dissertation

Creator:: Constantinescu, Corina D.
Abstract:: This thesis considers one of the classical problems in the actuarial mathematics literature, the decay of the probability of ruin in the collective risk model. The claim number process N(t) is assumed to be a renewal process, the resulting model being referred as the Sparre Andersen risk model. The inter-claim...
Resource Type:: Dissertation

Creator:: Ngo, Nam V.
Abstract:: An analytical model is developed to address the question of how different disturbance regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five pools based on the processes from which they are derived and based on their temporal dynamics. Formulae...
Resource Type:: Masters Thesis

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