Ollivier Ricci Curvature For Graphs

Professor Wojciechowski, a mathematician presents Ollivier Ricci Curvature For Graphs.

There has been a lot of recent interest in extending the notion of Ricci curvature from Riemannian manifolds to the discrete setting of graphs. In this talk we ill describe one approach introduced by Yann Ollivier in 2007 based on optimal transport theory. We will illustrate the definition with a series of examples.

Professor Wojciechowski is a graduate of Indiana University and the Graduate Center of CUNY. Prior to working at York College, he taught at BMCC, BCC and City College and was a postdoc at the Group of Mathematical Physics of the University of Lisbon. He is interested in various properties of the heat equation on graphs, consequences of curvature bounds and the connections between manifolds and graphs.