96-687 Helffer B.
Semi-classical analysis for the transfer operator: formal WKB constructions in large dimension (97K, LATEX) Dec 30, 96
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. This paper is devoted to problems coming from statistical mechanics. The transfer matrix (or transfer operator) approach consists in reducing the analysis of asymptotic properties of statistical systems to the analysis of the spectral properties of their transfer operator. Sometimes the new problem appears to have a semi-classical nature. Our results concern the semi-classical analysis of the ground state for this operator with control with respect to the dimension. One basic technique is Sj\"ostrand's formalism of the 0-standard functions.

Files: 96-687.tex