Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the asymptotics of some large Hankel determinants generated by
  Fisher-Hartwig symbols defined on the real line   We investigate the asymptotics of the determinant of N by N Hankel matrices
generated by Fisher-Hartwig symbols defined on the real line, as N becomes
large. Such objects are natural analogues of Toeplitz determinants generated by
Fisher-Hartwig symbols, and arise in random matrix theory in the investigation
of certain expectations involving random characteristic polynomials. The
reduced density matrices of certain one-dimensional systems of impenetrable
bosons can also be expressed in terms of Hankel determinants of this form.
  We focus on the specific cases of scaled Hermite and Laguerre weights. We
compute the asymptotics using a duality formula expressing the N by N Hankel
determinant as a 2|q|-fold integral, where q is a fixed vector, which is valid
when each component of q is natural.We thus verify, for such q, a recent
conjecture of Forrester and Frankel derived using a log-gas argument.

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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex