## Master’s Thesis Presentation – Janet Li

Friday, August 19, 2011, 2:10 p.m., in BA 6183,
40 St. George Street

ON THE LOGARITHIMIC CALCULUS AND SIDORENKO's CONJECTURE

Janet Li

Joint work with Balazs Szegedy.
We study a type of calculus for proving inequalities between
subgraph densities which is based on Jensen's inequality for
the logarithmic function. As a demonstration of the method we verify
the conjecture of ErdÂ¨os-Simonovits and Sidorenko for new families
of graphs. In particular we give a short analytic proof for a
result by Conlon, Fox and Sudakov.