2 papers
math.PR2026
Low-Temperature Asymptotics of the Poincaré and the log-Sobolev Constants for Łojasiewicz Potentials
Aziz Ben Nejma
In this paper, we establish the low-temperature asymptotics of the Poincaré inequality constant for a class of convex potentials satisfying a Łojasiewicz inequality. In addition, w…
math.OC2026
Polyak-Łojasiewicz inequality is essentially no more general than strong convexity for functions
Aziz Ben Nejma
The Polyak-Łojasiewicz (PŁ) inequality extends the favorable optimization properties of strongly convex functions to a broader class of functions. In this paper, we prove a theorem…