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
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
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
Erdos–Rényi Model of Random Graphs Mr. Prayagdeep Parija University of Wisconsin-Milwaukee PhD Graduate Student – Teaching Assistant “We introduce the Erdos–Rényi model of random graphs and discuss the phase transition that occurs in it.”
Visualizing the Gromov Boundary Mr. Daniel Gulbrandsen University of Wisconsin-Milwaukee PhD Graduate Student – Teaching Assistant “We will begin with some background of geometric group theory, including notions of quasi-isometry and delta-hyperbolicity. Then, we will define the Gromov boundary and... Read More
More Examples of Pseudo-Collars on High-Dimensional Manifolds Dr. Jeffrey Rolland Milwaukee School of Engineering Adjunct Instructor of Mathematics “Whyte introduced translation-like actions of groups which as a geometric generalization of subgroup containment. He then proved a geometric reformulation of the... Read More
Translation-like Actions of Nilpotent Groups Dr. Mark Pengitore Ohio State University Zassenhaus Assistant Professor “Whyte introduced translation-like actions of groups which as a geometric generalization of subgroup containment. He then proved a geometric reformulation of the von Neumann conjecture by... Read More
Residual Finiteness of Certain Three Generator Artin Groups Dr. Kasia Jankiewicz University of Chicago L.E. Dickson Instructor “Despite the simple looking presentation much is unknown about Artin groups. However, some questions can be answered in suitable classes of Artin groups.... Read More
Bestvina-Brady Groups with Polynomial Dehn Functions Dr. Yu-Chan Chang University of Wisconsin-Madison Visiting Assistant Professor “Bestvina–Brady groups are subgroups of right-angled Artin groups, and they satisfy quartic Dehn functions. There are examples of Bestvina–Brady groups whose Dehn functions are linear,... Read More
Foster-Lyapunov Type Criterion for Non-Explosive Markov Processes Mr. Khwanchai Kunwai University of Wisconsin-Milwaukee PhD Graduate Student “Given a continuous-time Markov process, we will define the infinitesimal generator of the process. This generator determines the behavior of the process itself. To... Read More