Pointwise convergence in nilmanifolds along smooth functions of polynomial growth
KONSTANTINOS TSINAS
Abstract:We study the equidistribution of orbits of the form
$b_1^{a_1(n)}\cdots b_k^{a_k(n)}\Gamma $
in a nilmanifold X, where the sequences
$a_i(n)$
arise from smooth functions of polynomial growth belonging to a Hardy field. We show that under certain assumptions on the growth rates of the functions
$a_1,\ldots ,a_k$
, these orbits are equidistributed on some subnilmanifold of the space X. As an application of these results and … Show more
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