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News/Sharp Convergence of Wasserstein Gradient Flows for Spectrally Nonnegative Interaction Energies
arxiv
PublishedSeptember 24, 2026 at 4:00 AM

Sharp Convergence of Wasserstein Gradient Flows for Spectrally Nonnegative Interaction Energies

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arXiv:2609.27008v1 Announce Type: cross Abstract: We study the long-time behavior of Wasserstein gradient flows for interaction energies \[ \mathsf E[\mu] = \frac12\iint_{M\times M}K(x,y)\,\mathrm d\mu(x)\,\mathrm d\mu(y) \] on a closed manifold $M$. For kernels diagonal in a Laplace eigenbasis with

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