- 00-144 Jacob Schach Moeller
- The low-temperature limit of transfer operators in fixed dimension
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