Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant probability measures from pseudoholomorphic curves I   We introduce a method for constructing invariant probability measures of a
large class of non-singular volume-preserving flows on closed, oriented
odd-dimensional smooth manifolds using pseudoholomorphic curve techniques from
symplectic geometry. These flows include any non-singular volume preserving
flow in dimension three, and autonomous Hamiltonian flows on closed, regular
energy levels in symplectic manifolds of any dimension. As an application, we
use our method to prove the existence of obstructions to unique ergodicity for
this class of flows, generalizing results of Taubes and Ginzburg-Niche.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph