Werner's Measure on Self-Avoiding Loops and Welding

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Chavez, A., Pickrell, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146622
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Werner's Measure on Self-Avoiding Loops and Welding / A. Chavez, D. Pickrell // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 17 назв. — англ.

Werner's conformally invariant family of measures on self-avoiding loops on Riemann surfaces is determined by a single measure μ0 on self-avoiding loops in C∖{0} which surround 0. Our first major objective is to show that the measure μ0 is infinitesimally invariant with respect to conformal vec...