Timeline for What's the meaning of this relation between volumes of $n$-balls and umbral calculus?
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| Oct 7, 2023 at 2:23 | comment | added | Sidharth Ghoshal | In fact fractal spaces whose “spheres” up to some suitable definition satisfy this could serve as strong examples for this: mathoverflow.net/questions/432880/… | |
| Oct 7, 2023 at 2:21 | comment | added | Sidharth Ghoshal | for positive real $n \le \frac{1}{2}$ this might suggest some kind of duality between the Hausdorff content of the $n$ and $1-n$ dimensional spheres… this is very much a blind idea but perhaps there should exist natural pairs of fractals of $n$ and $1-n$ dimension so that the Hausdorff content of their balls obeys said identity. Unfortunately without a notion of negative dimensional spaces with suitable spheres (I know your lattice construction but it’s unclear how to fit it here) we can’t find such a duality for higher dimensions. | |
| Apr 24, 2023 at 20:51 | history | edited | Max Lonysa Muller | CC BY-SA 4.0 |
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| Apr 24, 2023 at 11:41 | history | asked | Anixx | CC BY-SA 4.0 |