Abstract
Controlling the volume of balls is a universal problem in geometry. This means of course controlling the volume from above when the radius increases to infinity; but also controlling the volume from below when the radius decreases to 0. The doubling property is useful in both situations.
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© 2009 Springer-Verlag Berlin Heidelberg
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Villani, C. (2009). Volume control. In: Optimal Transport. Grundlehren der mathematischen Wissenschaften, vol 338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71050-9_18
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DOI: https://doi.org/10.1007/978-3-540-71050-9_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71049-3
Online ISBN: 978-3-540-71050-9
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