Develops and analyzes hypocoercivity-preserving C0-IP finite-element methods in space with hp-DG time stepping for kinetic Fokker-Planck equations on R^d x R^d, proving exponential decay via weighted Poincare inequalities and new trace estimates.
Hypoelliptic second order differential equations
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
years
2026 4verdicts
UNVERDICTED 4representative citing papers
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.
Under a domination condition, real-analytic deformations of symplectomorphism products yield large robustly transitive sets and new non-uniformly-hyperbolic examples via blender-horseshoe perturbations and control-theory ideas.
Under a division condition, tangential CR cohomology on compact Lie groups with left-invariant CR structures is finite-dimensional and computable on maximal tori, with necessity shown for a class of structures.
citing papers explorer
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Hypocoercivity-preserving space-time Galerkin methods for kinetic Fokker-Planck equations
Develops and analyzes hypocoercivity-preserving C0-IP finite-element methods in space with hp-DG time stepping for kinetic Fokker-Planck equations on R^d x R^d, proving exponential decay via weighted Poincare inequalities and new trace estimates.
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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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Robustly transitive behavior in symplectic dynamics
Under a domination condition, real-analytic deformations of symplectomorphism products yield large robustly transitive sets and new non-uniformly-hyperbolic examples via blender-horseshoe perturbations and control-theory ideas.
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Cohomology of CR structures on compact Lie groups
Under a division condition, tangential CR cohomology on compact Lie groups with left-invariant CR structures is finite-dimensional and computable on maximal tori, with necessity shown for a class of structures.