Thursday, November 29, 2012
206 Beverley St., Toronto
Dr. Pawel Pralat is an assistant professor at the Department of Mathematics, Ryerson University. Pawel received his PhD from Adam Mickiewicz University in Poznan, Poland, and did his post-doctoral fellowships at University of Waterloo and Dalhousie University. In 2009, Pawel joined West Virginia University as a faculty member but after 2 years he decided to move back to Canada. Since 2006, he published 70 papers with 46 collaborators, including mathematicians, computer scientists, and social scientists. More information can be found on Pawel's website (http://www.math.ryerson.ca/~pralat/).
Complex, self-organizing, real-world networks are all around us, ranging from the web graph consisting of web pages and the links between them, on-line social networks such as Facebook, to protein-protein interaction networks regulating cellular physiology. Such networks are large-scale, decentralized, and evolve dynamically over time. Understanding the principles driving the organization and behaviour of complex networks is crucial for a broad range of fields, including information and social sciences, economics, biology, and neuroscience.
In this talk, I am going to discuss some typical properties of self-organizing networks by considering a few examples from real-world. I will also present a few simple models, focusing on spatial models. Such models are useful for several reasons. They deepen our understanding of the generative mechanism driving the evolution of the network. They also provide insight into superficially unrelated properties observed in these structures. I will conclude the talk with two recent applications from industry.