A note on the perturbed monomial mapping

(整期优先)网络出版时间:2019-01-11
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Inthispaper,wepresentanecessaryandsufficientconditionthattheperturbedmonomialmappingisergodiconasphereSp^-1(1),whichisinacombinationwithAnashin'searlierresultsabouttheperturbedmonomialergodicmappingsonasphereSp^-r(1),r>1,completelysolveaproblemposedbyA.Khrennikovabouttheergodicityofaperturbedmonomialmappingonasphere.