Index Catalog // ScholarsArchive@OSU

A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

Creator:: Rockwell, Daniel Luke
Abstract:: The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the...
Resource Type:: Dissertation
Full Text:: AN ABSTRACT OF THE THESIS OF Daniel Luke Rockwell for the

Initial and boundary value problems via topological methods

Creator:: O'Regan, Daniel J.
Abstract:: In this thesis a relatively new topological technique, due to A. Granas, called Topological Transversality is used to obtain existence theorems for initial and boundary value problems in a variety of settings. This fixed point result is based on the notions of an essential map and on a priori bounds...
Resource Type:: Dissertation
Full Text:: AN ABSTRACT OF THE THESIS OF Daniel J. O'Regan for the degree

On Simpson’s Paradox for Discrete Lifetime Distributions

Creator:: Lebowitz, Daniel
Abstract:: In probability and statistics, Simpson’s paradox is an apparent paradox in which a trend is present in different groups, but is reversed when the groups are combined. Joel Cohen (1986) has shown that continuously distributed lifetimes can never have a Simpson’s paradox. We investigate the same question for discrete random...
Resource Type:: Capstone Project
Full Text:: Daniel Lebowitz Department of Mathematics Oregon State University June 10, 2013 Abstract In

The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

Creator:: Kim, HoeWoon
Abstract:: The flow of incompressible, viscous fluids in R³ is governed by the non-linear Navier-Stokes equations. Two common linearizations of the Navier-Stokes equations, the Stokes equations and the Oseen equations, are studied in this thesis using probabilistic methods. The incompressibility condition presents new challenges for the well known theory relating partial...
Resource Type:: Dissertation
Full Text:: independent of f s.t. RiRjf(x) = c lim s→∞ E(0,s)hx ∫ τ 0 Yr ∂2u ∂xi∂xj dYr = c lim s→∞ E(0,s)hx ∫ τ 0

Branching Brownian Motion with One Absorbing and One Reflecting Boundary

Creator:: Felder, William F.
Abstract:: In this work we will analyze branching Brownian motion on a finite interval with oneabsorbing and one reflecting boundary, having constant drift rate toward the absorbingboundary. Similar processes have been considered by Kesten ([12]), and more recently byHarris, Hesse, and Kyprianou ([11]). The current offering is motivated largely by the...
Resource Type:: Dissertation
Full Text:: u’s fission event ( lim t→σu− xu(t), σu ) , and each such sub-tree taken relative to this root

A synthesis of significant developments in the history, calculation, and properties of the number pi

Creator:: Burdg, Donald Eugene
Abstract:: This thesis brings together under one cover a survey of the history of the real number pi along with a study of the present state of its theory, application, and calculation.
Resource Type:: Masters Thesis
Full Text:: calculate an approximation of Tr to 16, 167 places in 4. 3 hours. In 1961, Daniel Shanks and Wrench, using

Explicit Dynamical Systems on the Sierpiński Curve

Creator:: Homsomboon, Worapan
Resource Type:: Dissertation
Full Text:: . Daniel Meyer on 27th April 2021 entitled: The Solenoid, the Chamanara Space, and Symbolic Dynamics. This

Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow

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
Full Text:: holomorphic extension to the unit disc with the norm ‖f‖Hp = lim r→1 { 1 2π ∫ π −π |f(r eiθ)| dθ } 1 p

The Biot System with Unilateral Displacement Constraints

Creator:: Hosseinkhan, Alireza
Abstract:: A fully-saturated poroelastic medium is confined by the sides of a cylinder, and the regions below and above the medium are filled with fluid at respective constant pressures. The filtration flow of fluid through the poroelastic medium and the small deformations of the medium are described by a quasi-static Biot...
Resource Type:: Dissertation
Full Text:: have enriched my experience as a graduate student. Thank you Daniel Erickson for always being willing

Skew diffusion with drift : a new class of stochastic processes with applications to parabolic equations with piecewise smooth coefficients

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
Full Text:: section of Part 2 was obtain in close collaboration with Daniel Sheldon (postdoctoral scholar in Computer

ScholarsArchive@OSU

A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem

Initial and boundary value problems via topological methods

On Simpson’s Paradox for Discrete Lifetime Distributions

The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

Branching Brownian Motion with One Absorbing and One Reflecting Boundary

A synthesis of significant developments in the history, calculation, and properties of the number pi

Explicit Dynamical Systems on the Sierpiński Curve

Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow

The Biot System with Unilateral Displacement Constraints

Skew diffusion with drift : a new class of stochastic processes with applications to parabolic equations with piecewise smooth coefficients

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