Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Freezing and extreme value statistics in a Random Energy Model with
  logarithmically correlated potential   We investigate some implications of the freezing scenario proposed by
Carpentier and Le Doussal (CLD) for a random energy model (REM) with
logarithmically correlated random potential. We introduce a particular
(circular) variant of the model, and show that the integer moments of the
partition function in the high-temperature phase are given by the well-known
Dyson Coulomb gas integrals. The CLD freezing scenario allows one to use those
moments for extracting the distribution of the free energy in both high- and
low-temperature phases. In particular, it yields the full distribution of the
minimal value in the potential sequence. This provides an explicit new class of
extreme-value statistics for strongly correlated variables, manifestly
different from the standard Gumbel class.
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21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph