Proves invariance of the Gibbs measure and global almost-sure dynamics for the defocusing Wick-ordered cubic fractional NLS on T² when 29/15 < α < 2, using random averaging operators together with new fractional lattice counting estimates and localized random tensor bounds.
Polynomial growth of Sobolev norms of solutions of the fractional NLS equation on ^ d
2 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes global well-posedness for cubic fractional NLS below energy threshold via I-method, with radial data improvements and polynomial growth bounds for higher norms.
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Invariant Gibbs measures and global dynamics for fractional cubic Schr\"odinger equations on the torus
Proves invariance of the Gibbs measure and global almost-sure dynamics for the defocusing Wick-ordered cubic fractional NLS on T² when 29/15 < α < 2, using random averaging operators together with new fractional lattice counting estimates and localized random tensor bounds.
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Global well-posedness of cubic fractional Schr\"{o}dinger equation with rough data
Establishes global well-posedness for cubic fractional NLS below energy threshold via I-method, with radial data improvements and polynomial growth bounds for higher norms.