Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Positivity of Hurwitz Product Traces   Consider the polynomial $tr (A + tB)^m$ in $t$ for positive hermitian
matrices $A$ and $B$ with $m \in \N$. The Bessis-Moussa-Villani conjecture (in
the equivalent form of Lieb and Seiringer) states that this polynomial has
nonnegative coefficients only. We prove that they are at least asymptotically
positive, for the nontrivial case of $AB \neq 0$. More precisely, we show that
the $k$-th coefficient is positive for all integer $m \geq m_0$, where $m_0$
depends on $A$, $B$ and $k$.

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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int