Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Log-majorizations for the (symplectic) eigenvalues of the Cartan
  barycenter   In this paper we show that the eigenvalue map and the symplectic eigenvalue
map of positive definite matrices are Lipschitz for the Cartan-Hadamard
Riemannian metric, and establish log-majorizations for the (symplectic)
eigenvalues of the Cartan barycenter of integrable probability Borel measures.
This leads a version of Jensen's inequality for geometric integrals of
matrix-valued integrable random variables.

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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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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: quant-ph
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The categories of this paper are: eess