A local CLT for convolution equations with an application to weakly self-avoiding random walks
Probability
2014-04-11 v2
Abstract
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 the ones obtained by other methods.
Cite
@article{arxiv.1301.6071,
title = {A local CLT for convolution equations with an application to weakly self-avoiding random walks},
author = {Luca Avena and Erwin Bolthausen and Christine Ritzmann},
journal= {arXiv preprint arXiv:1301.6071},
year = {2014}
}
Comments
28 pages, 2 figures