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Isotropic Realizability of Fields and Reconstruction of Invariant Measures under Positivity Properties. Asymptotics of the Flow by a Non-Ergodic Approach
The paper is devoted to the isotropic realizability of a regular electric field $\nabla u$ or a more general vector field $b$, namely, the existence of a continuous positive function $\sigma$ such that $\sigma b$ is divergence free in $\mathbb{R}^d$ or in an open set of $\mathbb{R}^d$. First, we prove …