Monotonicity of Ursell Functions in the Ising Model

Federico Camia, Jianping Jiang, Charles M. Newman

Research output: Contribution to journalArticlepeer-review


In this paper, we consider Ising models with ferromagnetic pair interactions. We prove that the Ursell functions u2k satisfy: (- 1) k-1u2k is increasing in each interaction. As an application, we prove a 1983 conjecture by Nishimori and Griffiths about the partition function of the Ising model with complex external field h: its closest zero to the origin (in the variable h) moves towards the origin as an arbitrary interaction increases.

Original languageEnglish (US)
Pages (from-to)2459-2482
Number of pages24
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Aug 2023

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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