A Study of Machine Learning Techniques for Dynamical System Prediction Mr. Rishi Pawar University of Wisconsin-Milwaukee Graduate Student Dynamical Systems are ubiquitous in mathematics and science and have been used to model many important application problems such as population dynamics,... Read More
Investigation of Intervention Efforts to Combat High Drop-Out Rates in Milwaukee Public Schools Ms. Azia Barner University of Wisconsin-Milwaukee Graduate Student Several studies and on-going research have reported COVID-19 having negative mental and physical health outcomes for students. It is... Read More
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
The earth mover's distance through the lens of algebraic combinatorics Mr. Brian Hospital University of Wisconsin-Milwaukee Dissertator Under consideration are convergence results between optimality criteria for two canonical stochastic control problems: the long-term average problem and the α-discounted problem, where... Read More
Collapses and Z-Compactifications of CAT(0) Cube Complexes Mr. Daniel Gulbrandsen University of Wisconsin-Milwaukee Dissertator We extend the notion of collapsibility to non-compact cube complexes and prove collapsibility of locally-finite CAT(0) cube complexes. Namely, we construct such a cube complex X... Read More
Random quotients of hyperbolic groups and Property (T) Mr. Prayagdeep Parija University of Wisconsin-Milwaukee Dissertator How does a random quotient of a group look like? Gromov looked at the density model of quotients of free groups. The density parameter d... 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