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arxiv: 1404.2679 · v1 · pith:FEKVQF3Bnew · submitted 2014-04-10 · 🧮 math.MG

Estimate of observable diameter of l_p-product spaces

classification 🧮 math.MG
keywords diameterestimateobservableproductbookconditioncorollarydiscreteness
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We estimate the observable diameter of the $l_p$-product space $X^n$ of an mm-space $X$ by using the limit formula in our previous paper. The idea of our proof is based on Gromov's book. As a corollary we obtain the phase transition property of $\{X^n\}_{n=1}^\infty$ under a discreteness condition.

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