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New math paper details nonlocal transport convergence rates

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A new paper published on arXiv details a mathematical framework for understanding nonlocal transport phenomena. The research focuses on the convergence of solutions to a nonlocal continuity equation towards heat flow, establishing a sharp, uniform-in-time convergence rate of $Cb^2$ as a parameter $b$ approaches zero. This analysis is extended to deterministic N-particle dynamics on a circle, providing a rate of $N^{-2/5}$ for approximating heat flow under specific conditions. AI

IMPACT Provides theoretical underpinnings for modeling complex systems, potentially impacting AI research in areas like reinforcement learning or simulation.

RANK_REASON The item is a research paper published on arXiv detailing mathematical analysis of nonlocal transport. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv stat.ML →

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New math paper details nonlocal transport convergence rates

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The item is a research paper published on arXiv detailing mathematical analysis of nonlocal transport. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Andrea Agazzi, Giuseppe Bruno, Federico Pasqualotto, Philippe Rigollet ·

    Quantitative Diffusive Limits for Singular Nonlocal Transport

    arXiv:2609.11837v1 Announce Type: cross Abstract: We study the nonlocal continuity equation \[ \partial_t\mu_b =\operatorname{div}\!\left( \mu_b\nabla\log\bigl((I-b^2\Delta)^{-1}\mu_b\bigr) \right) \] on a closed connected Riemannian manifold. For smooth strictly positive initial…

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