6 citations · 10 across the 20 of their papers we have counts for
27 papers
Hermite-Fisher bounds and stability for min-entropy power inequalities
Silouanos Brazitikos, Martin Rapaport, Tomasz Tkocz
We derive explicit lower bounds for relative Fisher information by combining a variational principle with suitably orthogonalized Hermite-polynomial test functions. The resulting c…
Thin-Shell implies small-ball deviation via Gaussian tilts
Silouanos Brazitikos, Emanuel Milman
We show that uniform thin-shell estimates for isotropic log-concave measures on yield precise and explicit deviation estimates for the Euclidean norm below…
Many Facets in Random Polytopes from Product and Log-Concave Measures
Silouanos Brazitikos, Minas Pafis
We prove bounds of order for the expected number of facets of high-dimensional random polytopes. First, let be a non-degenerate compactly supported even proba…
A Deterministic Proof of the Slicing Theorem
Silouanos Brazitikos
We give a deterministic proof of Bourgain's slicing theorem. The proof uses neither stochastic localization nor stochastic calculus, does not rely on Guan's covariance bound, and a…
Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position
Silouanos Brazitikos, Christos Pandis
Let be an origin-symmetric convex body and assume that its uniform probability measure is isotropic in the probabilistic normalization, namely \[ \int_K x…
Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
Silouanos Brazitikos
We prove a sharp estimate for conjugate functions using a harmonic majorant in a half-strip. As an application, we remove the logarithmic loss from a theorem of Papadopoulos on min…