Sunday, July 21, 2024
– Live Presentation with T. Arthur Terlep –
Session at 12 Noon Atlanta time
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After this virtual CoM presentation on Zoom, we will meet for an informal social session in a different Zoom space where we can all see each other (see the blue button below). That Zoom meeting will start around 1pm ET.
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A Mathematical Theory of Communication with Graphs and SymbolsWe begin with a toddler and some Tinker Toys …
Suppose two parents are trapped, working in two different rooms but they want to send messages back and forth to each other using Tinker Toy structures.
Their communication channel: a toddler running back and forth between the two rooms. Unfortunately, the little guy is impulsive and tends to change out a wheel or two with different colors and occasionally will drop or add the connecting sticks along the way, altering the structure.
Given a fixed number of colored connecting-wheels, how well can the parents effectively communicate to each other? Is there a way they can protect against the errors caused by the toddler?
This toy problem tinkers with the main ideas we’ll encounter with Graph-and-Symbol Communication.
In this presentation we will introduce Graph-and-Symbol (GS) channels which are like normal communication channels, only more confusing (but the kind of confusions mathematicians like to call “automorphisms” and “isomorphisms”). We’ll also introduce error control coding and explore some error control coding ideas for GS-channels.
T. Arthur Terlep is a current Ph.D. candidate at Purdue University (2024), West Lafayette, IN USA, ECE Dept and will be an Assistant Professor at the Rose-Hulman Institute of Technology, Terre Haute, IN, USA, ECE Dept in in Fall 2024. He is a former United States Air Force science officer and received his B.S. degree in mathematics from the University of Wyoming, Laramie, WY, USA, in 2011. Art’s research interests include digital signals processing, error control coding, radar, graph theory, and biomedical imaging.