Caltech/UCLA Joint Analysis Seminar

I shall discuss my very recent work with Oleg Ivrii regarding two problems dealing with the homogenization of random media. We show that a random quasiconformal mapping is close to an affine mapping, while a circle packing of a random Delauney triangulation is close to a conformal map. Moreover, on a Riemann surface equipped with a conformal metric, a random Delauney triangulation is close to being circle packed.