Local Rank of Ergodic Symmetric $n$-Powers does not exceed $n!n^{-n}$

V.V. Ryzhikov

arxiv: 1108.5660 · v1 · pith:K7OKKUEGnew · submitted 2011-08-29 · 🧮 math.DS

Local Rank of Ergodic Symmetric n-Powers does not exceed n!n^(-n)

V.V. Ryzhikov This is my paper

classification 🧮 math.DS

keywords rankergodicexceedlocalodotprovesymmetricbound

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We prove that local rank of an ergodic symmetric power $T^{\odot n}$ does not exceed $n!n^{-n}$. A. Katok's old results show that this upper bound is exact. We prove also that $T^{\odot n}$ has infinite Rank as $n>1$.

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Local Rank of Ergodic Symmetric n-Powers does not exceed n!n^(-n)

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