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.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Proves log-Sobolev inequality with explicit constant for Wolff dynamics on 1D Ising model and confirms its use in spectral analysis of eigen microstate condensation matches simulations.
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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.
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Log-Sobolev Inequality for Wolff Dynamics and Application to the Condensation of Eigen Microstate in the 1D Ising Model
Proves log-Sobolev inequality with explicit constant for Wolff dynamics on 1D Ising model and confirms its use in spectral analysis of eigen microstate condensation matches simulations.