- 96-687 Helffer B.
- Semi-classical analysis for the transfer operator:
formal WKB constructions in large dimension
(97K, LATEX)
Dec 30, 96
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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.
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