Concentration function for pyramid and quantum metric measure space
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Abstract:
In this paper, we generalize the concentration function for metric measure space to one for pyramid and quantum metric measure space. We also study the limit of the concentration function for convergent sequences of pyramids and quantum metric measure spaces.References
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Additional Information
- Ryunosuke Ozawa
- Affiliation: Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
- MR Author ID: 1106713
- Email: ozawa@mpim-bonn.mpg.de
- Received by editor(s): October 17, 2015
- Received by editor(s) in revised form: May 5, 2016
- Published electronically: November 21, 2016
- Additional Notes: This work was supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists (Grant Number 13J02664).
- Communicated by: Thomas Schlumprecht
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1301-1315
- MSC (2010): Primary 53C23, 28Axx
- DOI: https://doi.org/10.1090/proc/13282
- MathSciNet review: 3589327