发表机构
University of Illinois, Chicago（伊利诺伊大学芝加哥分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对紧支撑数据建立聚集-扩散能量的定量稳定性，关注局部吸引的退化扩散（如Riesz核），刻画稳态处Wasserstein Hessian的谱下界，假设最小化以保唯一性。
AI 中文摘要
本文针对紧支撑数据建立了聚集-扩散能量的定量稳定性。我们关注具有局部吸引且在无穷远处渐近平坦的退化扩散，如Riesz核。我们刻画了稳态处Wasserstein Hessian的谱下界。假设保持为唯一性所需的最小条件。
英文摘要
In this note, we establish quantitative stability of aggregation-diffusion energy for compactly supported data. Our consideration focuses on the degenerate diffusion with local attraction that are asymptotically flat at infinity, such as Riesz kernels. We characterize the spectrum lower-bound of the Wasserstein Hessian at steady states. Assumptions are kept as minimal as that needed for uniqueness.
Comments18 pages, 2 figures
