Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A comparison of symplectic homogenization and Calabi quasi-states   We compare two functionals defined on the space of continuous functions with
compact support in an open neighborhood of the zero section of the cotangent
bundle of a torus. One comes from Viterbo's symplectic homogenization while the
other from the Calabi quasi-states due to Entov and Polterovich. In dimension 2
we are able to say when these two functionals are equal. A partial result in
higher dimensions is presented. We also give a link to asymptotic Hofer
geometry on T^*S^1. Proofs are based on the theory of quasi-integrals and
topological measures on locally compact spaces.

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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat