Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the critical curves of the Pinning and Copolymer models in Correlated
  Gaussian environment   We investigate the disordered copolymer and pinning models, in the case of a
correlated Gaussian environment with summable correlations, and when the return
distribution of the underlying renewal process has a polynomial tail. As far as
the copolymer model is concerned, we prove disorder relevance both in terms of
critical points and critical exponents, in the case of non-negative
correlations. When some of the correlations are negative, even the annealed
model becomes non-trivial. Moreover, when the return distribution has a finite
mean, we are able to compute the weak coupling limit of the critical curves for
both models, with no restriction on the correlations other than summability.
This generalizes the result of Berger, Caravenna, Poisat, Sun and Zygouras
\cite{cf:BCPSZ} to the correlated case. Interestingly, in the copolymer model,
the weak coupling limit of the critical curve turns out to be the maximum of
two quantities: one generalizing the limit found in the IID case
\cite{cf:BCPSZ}, the other one generalizing the so-called Monthus bound.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga