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math.AP2026
The nonlocal attraction-repulsion transport equation with power kernels
Massimo Fornasier, Hui Huang, Lukang Sun
We study a nonlocal continuity equation on in which a probability density is driven by the competition between attraction toward a prescribed background measure …
cs.IT2026
Concavity of Tsallis Entropy and Tsallis Entropy Power along Heat Flow
Lukang Sun
We study the evolution of Tsallis entropy along the heat flow and establish concavity results in arbitrary dimensions. Extending earlier one-dimensional results, we prove that Tsal…