An improved tree-graph bound

Abstract

This report discusses the improved bound of the cluster expansion, recently proposed by Procacci and Yuhjtman (Lett. Math. Phys. 107, 31, 2017). Brydges and Helmuth noticed the relevance of Kruskal's algorithm, which allows to streamline and simplify the argument. These clarifications have proved useful in arXiv:1705.04385.

3 pages, 1 figure

References in corpus (1)

• Abstract cluster expansion with applications to statistical mechanical systems

Cited by in corpus (3)

• Well-posedness of the Iterative Boltzmann Inversion
• Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion
• Cluster expansions: Necessary and sufficient convergence conditions