Aljoscha Niemann

activity

20192026

most citedSpectral dimensions of Krein--Feller operators and

L^{q}

-spectra

15 citations · 50 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.PR2026

Geometric mean quantization via adaptive approximation

Marc Kesseböhmer, Aljoscha Niemann

Let $ν$ be a compactly supported Borel probability measure on $R^{d}$ with $ν (B (x, r)) \leq C r^{a}$ for some $a > 0$ . Refine a dyadic cube exactly when its mass is at least $t$ …

math.PR2024★ 1 cited

Quantization dimensions of negative order

Marc Kesseböhmer, Aljoscha Niemann

We investigate the possibility of defining meaningful upper and lower quantization dimensions for a compactly supported Borel probability measure of order $r$ , including negative v…

math.PR2022★ 14 cited

Quantization dimensions of compactly supported probability measures via Rényi dimensions

Marc Kesseböhmer, Aljoscha Niemann, Sanguo Zhu

We provide a complete picture of the upper quantization dimension in terms of the Rényi dimension by proving that the upper quantization dimension $D ˉ_{r} (ν)$ of order $r > 0$ f…