3 papers
math.PR2025
A probabilistic approach to strong natural boundaries
Stamatis Dostoglou, Petros Valettas
We study the local non-extendability of random power series beyond their disk of convergence. We show that random power series formed by independent coefficients which are asymptot…
math.PR2017
On the tightness of Gaussian concentration for convex functions
Petros Valettas
The concentration of measure phenomenon in Gauss' space states that every -Lipschitz map on satisfies \[ γ_{n} \left(\{ x : | f(x) - M_{f} | \geqslant t \} \ri…
math.MG2017
On a quantitative reversal of Alexandrov's inequality
Grigoris Paouris, Peter Pivovarov, Petros Valettas
Alexandrov's inequalities imply that for any convex body , the sequence of intrinsic volumes is non-increasing (when suitably normalized). Milman's random…