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math.FA2026
Thin-Shell implies small-ball deviation via Gaussian tilts
Silouanos Brazitikos, Emanuel Milman
We show that uniform thin-shell estimates for (even) isotropic log-concave measures on yield precise and explicit deviation estimates for the Euclidean norm $|X|…
math.FA2025
Sharp Estimates for some Integral-Geometric Quantities Related To Transversality, Curvature And Visibility
Silouanos Brazitikos, Dimitris-Marios Liakopoulos
We investigate integral-geometric quantities arising from harmonic analysis which measure visibility and transversality. Motivated by their applications in multilinear Kakeya probl…