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math.MG2014
Estimate of observable diameter of -product spaces
Ryunosuke Ozawa, Takashi Shioya
We estimate the observable diameter of the -product space of an mm-space by using the limit formula in our previous paper. The idea of our proof is based on Gromov's…
math.MG2014
Limit formulas for metric measure invariants and phase transition property
Ryunosuke Ozawa, Takashi Shioya
We generalize the observable diameter and the separation distance for metric measure spaces to those for pyramids, and prove some limit formulas for these invariants for a converge…