Pith. sign in

REVIEW 1 cited by

Hypocoercivity in Wasserstein-1 for the kinetic Fokker-Planck equation via Malliavin Calculus

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1810.01324 v1 pith:R3ZN4DN2 submitted 2018-10-02 math.PR math-phmath.APmath.MP

Josephine Evans This is my paper · ORCID
classification math.PRmath-phmath.APmath.MP
keywords equationhypocoercivitywasserstein-1calculusfokker-planckkineticmalliavinchosen
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We study the kinetic Fokker-Planck equation on the whole space with a confining potential. We show quantitative rates of exponential convergence to equilibrium in a well chosen Wasserstein-1 distance. We use the Wasserstein-1 version of Harris's theorem introduced by Hairer and Mattingly. We make use of similarities between hypocoercivity and hypoellipticity in order to use Malliavin calculus to see hypocoercivity for this equation on the level of the SDE.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantitative positivity of transition densities for random perturbations of Hamiltonian systems

    math.PR 2025-09 conditional novelty 7.0 of 10

    For Hamiltonian systems with small random perturbations, transition densities have uniform positive lower bounds on energy sublevel sets at the slow equilibration time scale.

Pith tools