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arXiv · 1301.6071

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

Luca Avena·Erwin Bolthausen·Christine Ritzmann
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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.

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Luca Avena, Erwin Bolthausen, Christine Ritzmann. 2013-01-25. A local CLT for convolution equations with an application to weakly self-avoiding random walks. https://arxiv.org/abs/1301.6071

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