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math.PR2026
Weighted Helmholtz--Hodge decompositions, Lyapunov functions, and invariant measures
Haesung Lee, Gerald Trutnau
We study weighted Helmholtz--Hodge decompositions of drift vector fields associated with second-order diffusion operators on , . Given a decomposition of the…
math.PR2025
Cholesky decomposition and well-posedness of Cauchy problem for Fokker-Planck equations with unbounded coefficients
Haesung Lee
This paper explores the well-posedness of the Cauchy problem for the Fokker-Planck equation associated with the partial differential operator with low regularity condition. To…