Local Energy Statistics in Directed Polymers
Irina Kurkova, Université de Paris VI (Pierre et Marie Curie), France
Abstract
Recently, Bauke and Mertens conjectured that the local statistics
of energies in random spin systems with discrete
spin space should, in most circumstances,
be the same as in the random energy model.
We show that this conjecture holds true as well
for directed polymers in random environment.
We also show that, under certain conditions,
this conjecture holds for directed polymers
even if energy levels that grow moderately
with the volume of the system are considered.
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