3 papers
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.FA2024
Open problems in one-parameter operator semigroups theory
Kodjo Raphaël Madou, Ivan Remizov, Reihaneh Vafadar
One-parameter strongly continuous semigroups of linear bounded operators on Banach spaces (also known as -semigroups) are a fundamental operator-theoretic tool used in the stu…
math.PR2023
Strong solutions of SDEs with singular (form-bounded) drift via Roeckner-Zhao approach
D. Kinzebulatov, K. R. Madou
We use the approach of Roeckner-Zhao to prove strong well-posedness for SDEs with singular drift satisfying some minimal assumptions.