The Pirogov-Sinai Theory for Infinite Interactions

TL;DR

This paper discusses straightforward generalizations of the Pirogov-Sinai theory, expanding its applicability with minor modifications and providing formal references for these known extensions.

Contribution

It formalizes known generalizations of the Pirogov-Sinai theory that were previously lacking proper references, making them more accessible.

Findings

Generalizations are straightforward and can be incorporated with minor modifications.

The paper provides formal references for these known extensions.

Enhances the theoretical framework of Pirogov-Sinai theory.

Abstract

The purpose of this note is to consider a number of straightforward generalizations of the Pirogov-Sinai theory which can be covered by minor additions to the canonical texts. These generalizations are well-known among the adepts of the Pirogov-Sinai theory but are lacking formal references.