00-144 Jacob Schach Moeller

The low-temperature limit of transfer operators in fixed dimension (76K, amstex) Apr 3, 00

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Abstract. We construct the zero'th order low-temperature WKB-phase for the first eigenfunction of a transfer operator in a large domain around a non-degenerate critical point for the potential. The zero'th order low-temperature phase is shown to solve the eikonal equation in the strong-coupling limit and we obtain non-local estimates on the zero'th order phase, which are preserved in the limit. We furthermore use the IMS localization technique to study the two highest eigenvalues of the transfer operator in the case where V is allowed to have many non-degenerate global minima.

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