Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective equidistribution for generalized higher step nilflows   The main results of this paper are to prove bounds for ergodic averages for
nilflows on general higher step nilmanifolds. Under Diophantine condition on
the frequency of a toral projection of the flow, we prove that almost all
orbits become equidistributed at the polynomial speed. We analyze the exponent
with the speed of decay which is determined by the number of steps and
structure of general nilpotent Lie algebras. The main result follows from the
technique over controlling scaling operators in irreducible representations and
measure estimation on close return orbit on general nilmanifolds.

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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio