Jacob Schach Moeller
The low-temperature limit of transfer operators in fixed dimension
(76K, amstex)

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.