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Michel Talagrand, The G livenko- C antelli problem , Ann · 1987

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A note on quantitative stability in Hilbert spaces

math.LO · 2026-04-29 · unverdicted · novelty 6.0

The inner product on the Hilbert unit ball requires k exponential in 1/ε for (k,ε)-stability, with bounds exp(π/ε) upper and exp(log 2/ε) lower, and similar exponential scaling for nonlinear powers.

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  • A note on quantitative stability in Hilbert spaces math.LO · 2026-04-29 · unverdicted · none · ref 17

    The inner product on the Hilbert unit ball requires k exponential in 1/ε for (k,ε)-stability, with bounds exp(π/ε) upper and exp(log 2/ε) lower, and similar exponential scaling for nonlinear powers.