Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotone homomorphisms on convolution semigroups   We study monotone homomorphisms on the semigroup of probability measures on
$\mathbb{R}$, by which we mean maps to the reals that are monotone with respect
to the stochastic order and additive under convolution. We show that scalar
multiples of the expectation are the unique monotone homomorphisms on the
semigroup of measures with finite $p$-th moment, for any $1 \le p < \infty$. We
also prove that the entire semigroup of probability measures admits no non-zero
monotone homomorphism.

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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph