Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the adjoint action of the group of symplectic diffeomorphisms   We study the action of Hamiltonian diffeomorphisms of a compact symplectic
manifold ($X,\omega$) on $C^\infty(X)$ and on functions $C^\infty(X)\to \mathbb
R$. We describe various properties of invariant convex functions on
$C^\infty(X)$. Among other things we show that continuous convex functions
$C^\infty(X)\to \mathbb R$ that are invariant under the action are
automatically invariant under so called strict rearrangements and they are
continuous in the sup norm topology of $C^\infty(X)$; but this is not generally
true if the convexity condition is dropped.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th