Elon Musk
@elonmusk
Grok only gets better from here
Paata Ivanisvili@PI010101· 9. Juli 2026Grok 4.5 just constructed an explicit counterexample to hypercontractivity for the Poisson semigroup (the square root of the Laplace–Beltrami operator) on the 4-sphere.
Back in 2021, with Rupert Frank we proved that hypercontractivity holds in dimensions



01:10 · 10. Juli 2026 · 926.271 Aufrufe
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