A simple convergence proof for the lace expansion-Reference-Cited by-同舟云学术

A simple convergence proof for the lace expansion

Published:2022-02-01 Issue:1 Volume:58 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Slade Gordon¹

Affiliation:

1. Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference20 articles.

1. L. Avena, E. Bolthausen and C. Ritzmann. A local CLT for convolution equations with an application to weakly self-avoiding walks. Ann. Probab. 44 (2016) 206–234.

2. E. Bolthausen and C. Ritzmann. A central limit theorem for convolution equations and weakly self-avoiding walks, 2001. Unpublished document. Available at https://arxiv.org/abs/math/0103218.

3. E. Bolthausen, R. van der Hofstad and G. Kozma. Lace expansion for dummies. Ann. Inst. Henri Poincaré B, Probab. Stat. 54 (2018) 141–153.

4. D. C. Brydges, T. Helmuth and M. Holmes. The continuous-time lace expansion. Commun. Pure Appl. Math. Available at https://arxiv.org/abs/1905.09605.

5. D. C. Brydges and T. Spencer. Self-avoiding walk in 5 or more dimensions. Comm. Math. Phys. 97 (1985) 125–148.

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