Geodesic
Correlation decay and gap of the transfer operator
Algebra i analiz, Tome 8 (1996) no. 1, pp. 192-210 
B. Helffer. Correlation decay and gap of the transfer operator. Algebra i analiz, Tome 8 (1996) no. 1, pp. 192-210. http://geodesic.mathdoc.fr/item/AA_1996_8_1_a8/
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     author = {B. Helffer},
     title = {Correlation decay and gap of the transfer operator},
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     volume = {8},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_1996_8_1_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of this article is to present a new proof for a universal estimate of the gap between the two largest eigenvalues of the Kac operator in the case of a convex potential. This is done by means of a careful analysis of the technique of the transfer matrix in connection with the recent study of the decay of correlations associated to Laplace integrals by Helffer-Sjöstrand and Sjöstrand.