The Annals of Probability
- Ann. Probab.
- Volume 44, Number 1 (2016), 206-234.
A local CLT for convolution equations with an application to weakly self-avoiding random walks
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.
Ann. Probab., Volume 44, Number 1 (2016), 206-234.
Received: February 2014
First available in Project Euclid: 2 February 2016
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Avena, Luca; Bolthausen, Erwin; Ritzmann, Christine. A local CLT for convolution equations with an application to weakly self-avoiding random walks. Ann. Probab. 44 (2016), no. 1, 206--234. doi:10.1214/14-AOP971. https://projecteuclid.org/euclid.aop/1454423039