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math.AP2026
Uniform many-particle spectral gap inequality and heat kernel bounds for strong attractive interactions
S. E. Boutiah, D. Kinzebulatov, K. R. Madou
We prove a spectral gap inequality for Gaussian measures modified by singular attractive pair interactions. The spectral gap constant is explicit and uniform in the number of parti…
math.AP2021
On the supercritical fractional diffusion equation with Hardy-type drift
D. Kinzebulatov, K. R. Madou, Yu. A. Semenov
We study the heat kernel of the supercritical fractional diffusion equation with the drift in the critical Hölder space. We show that such a drift can have point irregularities str…