Resumen de A local CLT for convolution equations with an application to weakly self-avoiding random walks

Luca Avena, Erwin Bolthausen, Christine Ritzmann

• We prove error bounds in a central limit theorem for solutions of certain convolution equations. The main motivation for investigating these equations stems from applications to lace expansions, in particular to weakly self-avoiding random walks in high dimensions. As an application we treat such self-avoiding walks in continuous space. The bounds obtained are sharper than those obtained by other methods.