Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Statistical Mechanics of Stretched Polymers   We describe some recent results concerning the statistical properties of a
self-interacting polymer stretched by an external force. We concentrate mainly
on the cases of purely attractive or purely repulsive self-interactions, but
our results are stable under suitable small perturbations of these pure cases.
We provide in particular a precise description of the stretched phase (local
limit theorems for the end-point and local observables, invariance principle,
microscopic structure). Our results also characterize precisely the
(non-trivial, direction-dependent) critical force needed to trigger the
collapsed/stretched phase transition in the attractive case. We also describe
some recent progress: first, the determination of the order of the phase
transition in the attractive case; second, a proof that a semi-directed polymer
in quenched random environment is diffusive in dimensions 4 and higher when the
temperature is high enough. In addition, we correct an incomplete argument from
one of our earlier works.

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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin