Author

Maja Gwóźdź

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Preprint Jul 2026

Entropic optimal transport need not select a zero-temperature limit

We construct a compact metric space with an atomless probability measure and a bounded Lipschitz cost for which the entropic optimal-transport minimisers have no zero-temperature weak limit. More precisely, $P_\varepsilon$ does not converge as $\varepsilon\downarrow0$. In the example, every unregularised minimiser is s...

Maja Gwóźdź · 0 citations

Preprint Aug 2026

Dimension-Free Lipschitz Bounds for Brenier Maps to Compactly Supported Log-Concave Targets

We fix an integer $d\ge1$ and a symmetric positive-definite matrix $Q\in\mathbb{R}^{d\times d}$. Let $V:\mathbb{R}^d\to\mathbb{R}$ be finite, set \[ Z_\mu:=\int_{\mathbb{R}^d}e^{-V(x)}\,dx\in(0,\infty), \qquad d\mu(x):=Z_\mu^{-1}e^{-V(x)}\,dx, \] and assume that $\mu$ has finite second moment and that \[ x\longmapsto \...

Maja Gwóźdź · 1 citation · ⚡1