# Estimate of observable diameter of l p-product spaces

Ryunosuke Ozawa, Takashi Shioya

4 被引用数 (Scopus)

## 抄録

We estimate the observable diameter of the lp-product space Xn of an mm-space X by using the limit formula in our previous paper (Ozawa and Shioya, Math. Zeit. (to appear)). The idea of our proof is based on Gromov’s book (In: Metric structures for Riemannian and non-Riemannian spaces, 2007). As a corollary we obtain the phase transition property of {Xn}n=1 under a uniform discreteness condition.

本文言語 English 501-509 9 manuscripta mathematica 147 3-4 https://doi.org/10.1007/s00229-015-0730-1 Published - 2015 7 27

• 数学 (全般)

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