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Malte Gerhold, Orr Shalit,Dilation distance, the stability of ergodic commutation relations, arXiv preprint arXiv:2406 · 2024 · arXiv 2406.05864

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math.FA 1

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2026 1

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On the universal commuting dilation constant

math.FA · 2026-06-10 · unverdicted · novelty 6.0

Proves C_2 ≤ 2/√φ ≈ 1.5724 for the universal commuting dilation constant, tightening the interval to 1.5438 ≲ C_2 ≲ 1.5724 and improving bounds for general d.

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  • On the universal commuting dilation constant math.FA · 2026-06-10 · unverdicted · none · ref 17

    Proves C_2 ≤ 2/√φ ≈ 1.5724 for the universal commuting dilation constant, tightening the interval to 1.5438 ≲ C_2 ≲ 1.5724 and improving bounds for general d.