An Optimal Decay Estimation of the Solution to the Airy Equation Ms. Ashley Scherf University of Wisconsin-Milwaukee Graduate Student In this thesis we investigate the initial value problem to the Airy equation ∂tu + ∂3xu = 0, (1) u(0, x)... Read More

CNH Markov Chain Based Forecasting Model Mr. Randolph Cole University of Wisconsin-Milwaukee Graduate Student The purpose of this thesis is to develop a Markov Chain-based forecasting model that can accurately predict the future demand quantities of service parts for CNH... Read More

Combinatorial Problems Related to Optimal Transport and Parking Functions Mr. Jan Kretschmann University of Wisconsin-Milwaukee Dissertator In the first part, we show contributions to optimal transport through work on the discrete Earth Mover's Distance (EMD). We provide a new formula... Read More

Coarse Homotopy Extension Property and its Applications Mr. William Braubach University of Wisconsin-Milwaukee A pair (X, A) has the homotopy extension property if any homotopy of A can be extended to a homotopy of X. The main goal of this... Read More

Markov Chain Model of Three-Dimensional Daphnia Magna Movement Ms. Helen Kafka University of Wisconsin-Milwaukee Daphnia magna make turns through an antennae-whipping action. This action occurs every few seconds, hence, during the intervening time, the animal either remains in place or... Read More

Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin Mr. Russell Latterman University of Wisconsin-Milwaukee Changepoint detection involves the discovery of abrupt fluctuations in population dynamics over time. We take a Bayesian... Read More

Utilizing ARMA Models for Non-Independent Replications of Point Processes Mr. Lucas Fellmeth University of Wisconsin-Milwaukee The use of a functional principal component analysis (FPCA) approach for estimating intensity functions from prior work allows us to obtain component scores of replicated... Read More

Adding a Third Normal to CLUBB Mr. Sven Bergmann University of Wisconsin-Milwaukee The Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer... Read More

Contraction Rates For McKean-Vlassov Stochastic Differential Equations Mr. Dan Noelck University of Wisconsin-Milwaukee This work focuses on the contraction rates for McKean-Vlasov stochastic differential equations (SDEs), McKean-Vlasov Stochastic differential delay equations (SDDEs), and path dependent McKean-Vlasov stochastic differential equations. Under... Read More