117 citations · 248 across the 26 of their papers we have counts for
37 papers
Fixed-point sets of semifree group actions on infinite-dimensional compact convex sets and their manifolds
Jan van Mill, James E. West
Let be the fixed point set of a semifree action of a compact (metric) group on a Keller space (an infinite-dimensional compact convex subset of a separable Fr\' echet s…
On random diameters of convex bodies
O. Guedon, A. E. Litvak, K. Tatarko +1
Let be a convex body containing the origin in its interior. In this work, we study the diameters of random sections of and derive upper and lower bound…
Ensemble sampling for linear bandits: small ensembles suffice
David Janz, Alexander E. Litvak, Csaba Szepesvári
We provide the first useful and rigorous analysis of ensemble sampling for the stochastic linear bandit setting. In particular, we show that, under standard assumptions, for a -…
On the volume ratio of projections of convex bodies
Daniel Galicer, Alexander E. Litvak, Mariano Merzbacher +1
We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body we show that there is another convex body such that the volume rati…
New bounds on the minimal dispersion
Alexander E. Litvak, Galyna V. Livshyts
We provide a new construction for a set of boxes approximating axis-parallel boxes of fixed volume in . This improves upper bounds for the minimal dispersion of a point s…
A remark on the minimal dispersion
A. E. Litvak
We improve known upper bounds for the minimal dispersion of a point set in the unit cube and its inverse in both the periodic and non-periodic settings. Some of our bounds are shar…