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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
Uniqueness in law for singular degenerate SDEs with respect to a (sub-)invariant measure
Haesung Lee, Gerald Trutnau
We show weak existence and uniqueness in law for a general class of stochastic differential equations in , , with prescribed sub-invariant measure $\widehatμ…
math.PR2024
Pointwise well-posedness results for degenerate Itô-SDEs with locally bounded drifts
Haesung Lee, Gerald Trutnau
Building on results developed in https://doi.org/10.48550/arXiv.2404.14902, where Itô-SDEs with possibly degenerate and discontinuous dispersion coefficient and measurable drift w…