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math.MG2018
Hilbert Volume in Metric Spaces
Misha Gromov
We introduce a notion of Hilbertian n-volume in metric spaces with Besicovitch-type inequalities built-in into the definitions. which, ultimately, may turn useful for an approach t…
math.MG2017★ 5 cited
Morse Spectra, Homology Measures and Parametric Packing Problems
Misha Gromov
We suggest several mathematical counterparts to the idea of "effective degrees of freedom" and formulate specific questions, much of which are inspired by Larry Guth's results and…