No local homogeneous rough path lift exists for γ-Hölder paths with γ≤1/2; for fBM with H>1/4 all local square-integrable lifts are stochastic translations of the canonical lift, with only the canonical satisfying extra invariances except at H=1/3.
Bulletin of the London Mathematical Society , volume =
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.
citing papers explorer
-
Locality of rough path lifts
No local homogeneous rough path lift exists for γ-Hölder paths with γ≤1/2; for fBM with H>1/4 all local square-integrable lifts are stochastic translations of the canonical lift, with only the canonical satisfying extra invariances except at H=1/3.
-
Cancellations for dispersive PDEs with random initial data
Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.