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.
A local CLT for convolution equations with an application to weakly self-avoiding random walks / Avena L; Bolthausen E; Ritzmann C. - In: ANNALS OF PROBABILITY. - ISSN 0091-1798. - 44:(2016), pp. 206-234. [10.1214/14-aop971]
A local CLT for convolution equations with an application to weakly self-avoiding random walks
Avena L;
2016
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.File in questo prodotto:
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