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On the Dimension(s) of the InternetYuliy BaryshnikovDepartment of Mathematics, University of Illinois Wednesday, August 13, 2014 15:00-16:00, We address the recent claims that the Internet - the network of Autonomous Domain Nodes - can be modeled as a sample from two-dimensional hyperbolic plane. We develop a rigorous topological test for the dimension of the sampled networks, and examine the resulting node invariants. The interplay between the continuous and the discrete is the central topic of the talk. Speaker Bio: Yuliy Baryshnikov grew up in Moscow, then in Soviet Union, and got his PhD in applied mathematics, from Institute of Control Sciences in Moscow, in 1987. He spent his Humboldt Research Fellowship at the University of Osnabruck in Germany, then worked as a faculty member in the Netherlands, UK and France, before joining Bell Labs in Murray Hill, NJ in 2001. In 2011 he resigned from his position as a department head there and moved West, to become professor of mathematics and electrical and computer engineering at the University of Illinois at Urbana-Champaign. His research interests include probability theory, singularities, dynamical systems, combinatorics. Among applied areas his favorites are sensor networks, nonlinear control, mathematical economics, self-assembly. Contact: V. Marbukh Note: Visitors from outside NIST must contact Cathy Graham; (301) 975-3800; at least 24 hours in advance. |