Résumé : Lace expansion is a method for solving self-interacting models in high dimension. In the core of the technique is the problem of solving convolution equations. Initially highly dependent upon Fourier transform, in the last decade it has evolved to the degree that it can be applied in some non-commutative settings where Fourier transform is not available.
Joint work with Remco van der Hofstad and Erwin Bolthausen.