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.
Invariant Gibbs dynamics for two-dimensional fractional wave equations in negative Sobolev spaces, 2025
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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.