Diagrammatic Estimates for the Lace Expansion

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


We prove bounds on the lace-expansion coefficients \(\varPi ^{(\mathrm {N})}\) identified in the previous chapter. These bounds are an essential ingredient in the lace-expansion proof of the infrared bound. We refer to the methods of this section as diagrammatic estimates, as we use Feynman diagrams to provide a convenient representation for upper bounds on \(\varPi ^{(\mathrm {N})}\).

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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