Trio of NU mathematicians presenting at conference

Nipissing University mathematicians Dr. Logan Hoehn, Dr. Ihor Stasyuk and Dr. Murat Tuncali are invited to present papers at the annual Spring Topology and Dynamics Conference, at Central Connecticut State University, March 23-25.Dr. Hoehn’s talk is titled A weakly mixing, but not mixing, map on a dendrite. There are several ways mathematicians can quantify the extent to which a process mixes up things as it is carried out repeatedly. Examples of such processes are abundant in nature, and include phenomena such as flowing water, gas, or stirring cream into a cup of coffee. This paper deals with the levels of complexity that a process, or function, may have, and various types of mixing that may occur. Two well-studied concepts in this vein are called mixing functions and weakly mixing functions. For certain cases, these two notions are known to be equivalent. On the other hand, it is a problem to determine whether these two notions of mixing are equivalent for processes on a structure like a dendrite. The paper answers this problem. It is the joint work of Dr. Hoehn and Dr. Chris Mouron of Rhodes College in Memphis, Tennessee.
Dr. Stasyuk’s talk is titled On the existence of convex metrics on non-compact spaces. Measuring distance and finding the shortest path between two points are tasks that are essential to many aspects of our lives. In order to accomplish them, we usually look for a geometric structure with geodesics (ie: lines that can be used to find the shortest paths). For instance, airlines use great circles for navigation, because a great circle gives the shortest path between two points on the surface of the earth or a sphere. However, it is not always easy to find nice geometric structures to measure the distance in this manner. This paper deals with the question of whether it is possible to find a convex metric on a given topological space. This is joint work with Dr. Jacek Nikiel of Opole University, Poland, Nipissing’s Dr. Tuncali, and Dr. E.D. Tymchatyn from the University of Saskatchewan.
Dr. Tuncali will present a paper titled Buried Points of Plane Continua. The talk relates to the study of dynamical systems and fractal-like structures, such as Julia sets and the Mandelbrot set, which are constructed by repeating a process on different scales. When a certain rule or process is repeated, its results may be unpredictable and obscure, or buried. A similar situation arises when dealing with numbers like the square root of 2, or the number e. The intention of this work is to study the mathematical equivalent of not-so-obvious things called buried points and gain insight into what structural complications these points may cause in the space used to model a dynamical system. This is joint work with Dr. Jan van Mill, VU-Amsterdam, Dr. E.D. Tymchatyn, University of Saskatchewan, and Dr. Kirsten Valkenburg, NCIM Groep, Netherlands.
In addition, another paper co-authored by Dr. Tuncali will be presented by Dr. D. Daniel of Lamar University. The title of the paper is Embeddings of non-metric products in images of ordered compacta. The paper investigates relations between  the notions of closeness between points and ordering.