Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchical pinning model: low disorder relevance in the $b=s$ case   We consider a hierarchical pinning model introduced by B.Derrida, V.Hakim and
J.Vannimenus which undergoes a localization/delocalization phase transition.
This model depends on two parameters $b$ and $s$. We show that in the
particular case where $b=s$, the disorder is weakly relevant, in the sense that
at any given temperature, the quenched and the annealed critical points
coincide. This is in contrast with the case where $b \neq s$.

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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
16
The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg