Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-classical asymptotics for functions of Wiener-Hopf operators:
  smooth vs non-smooth symbols   We consider functions of Wiener--Hopf type operators on the Hilbert space
$L^2(\mathbb R^d)$. It has been known for a long time that the quasi-classical
asymptotics for traces of resulting operators strongly depend on the smoothness
of the symbol: for smooth symbols the expansion is power-like, whereas
discontinuous symbols (e.g. indicator functions) produce an extra logarithmic
factor. We investigate the transition regime by studying symbols depending on
an extra parameter $T\ge 0$ in such a way that the symbol tends to a
discontinuous one as $T\to 0$. The main result is two-parameter asymptotics (in
the quasi-classical parameter and in $T$), describing a transition from the
smooth case to the discontinuous one. The obtained asymptotic formulas are used
to analyse the low-temperature scaling limit of the spatially bipartite
entanglement entropy of thermal equilibrium states of non-interacting fermions.

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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con