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 those obtained by other methods.
Citation
Luca Avena. Erwin Bolthausen. Christine Ritzmann. "A local CLT for convolution equations with an application to weakly self-avoiding random walks." Ann. Probab. 44 (1) 206 - 234, January 2016. https://doi.org/10.1214/14-AOP971
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