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math.PR2024
Generic regularity of equilibrium measures for the logarithmic potential with external fields
Giacomo Colombo, Alessio Figalli
It is a well-known conjecture in -models and in their discrete counterpart that, generically, external potentials should be ``off-critical'' (or, equivalently, ``regular''). Exp…
math.FA2024
Improved stability versions of the Prékopa-Leindler inequality
Alessio Figalli, João P. G. Ramos
We consider the problem of stability for the Prékopa-Leindler inequality. Exploiting properties of the transport map between radially decreasing functions and a suitable functional…