4 problems

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Failure of quasi-invariance for the periodic Benjamin–Ono–BBM equation below the critical regularity
Let … mus $. **Quasi-invariance failure conjecture.** When$ 0<sleq frac 12 $, quasi-invariance fails and the transported measure should be singular with respect to … mus$ is describe…
Conjectureopenbenjamin-ono-bbm quasi-invariance randomized-pdesarXiv posted 2 days ago
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Quasi-invariance conjecture for the cubic Szegő flow and Gaussian measure
Let $cPhi_t$ denote the flow map of the cubic Szegő equation on $coperatorname{BMO}_+ = cPi(L^\infty(\mathbb{T}))$ , and let $cmu_s$ be the associated measure for $s>\frac12$ , so th…
Conjectureopencubic-szego-equation probability-measures quasi-invariancearXiv posted 2 days ago
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Conjecture on exceptional Gaussian measures for Euler-flow non-invariance
Exceptional-support conjecture. Part (i) of the theorem on invariant measures already contains essentially all counterexamples to non-invariance: for…
Conjectureopeneuler-equations gaussian-measures quasi-invariancearXiv posted 2 days ago
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Extension of the Cameron–Martin formula to the larger integrability class
Extension conjecture. The Cameron–Martin formula
Conjectureopenbrownian-motion cameron-martin-theory quasi-invariancearXiv posted 2 days ago

Failure of quasi-invariance for the periodic Benjamin–Ono–BBM equation below the critical regularity