For 1-Lipschitz multi-spin interactions with support at most r on a p-biased Boolean cube with rp ≥ 12, E exp(Σλ_iφ_i) ≠ 0 whenever every coordinate's total influence is at most 1/(10√(rp)).
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math-ph 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the dependence of the zero-free region of a partition function on the external field
For 1-Lipschitz multi-spin interactions with support at most r on a p-biased Boolean cube with rp ≥ 12, E exp(Σλ_iφ_i) ≠ 0 whenever every coordinate's total influence is at most 1/(10√(rp)).