Bootstrap Analysis of the Lace Expansion

  • Markus HeydenreichEmail author
  • Remco van der Hofstad
Part of the CRM Short Courses book series (CRMSC)


We complete the proof of the infrared bound. For this, we analyze the lace-expansion recurrence relation in Fourier space, and reduce its asymptotics to necessary bounds on the lace-expansion coefficients that have been obtained in the previous chapter. Finally, we summarize some consequences of the completed bootstrap argument that are interesting in their own right, such as asymptotics of the critical threshold in high dimensions.

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Mathematisches InstitutLudwig-Maximilians-Universität MünchenMünchenGermany
  2. 2.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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