Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant   Let $(M,\omega)$ be a symplectic manifold and $U\subseteq M$ an open subset.
We study the natural inclusion of the compactly supported Hamiltonian group of
$U$ in the compactly supported Hamiltonian group of $M$. The main result is an
upper bound for this map in terms of the Hofer norms for $U$ and $M$.
  Applications are upper bounds on the asymptotic Hofer-Lipschitz constant and
the relative Hofer diameter of $U$. The first bound is often sharp and the
second one is often sharp up to a factor of 2.

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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex