69 citations · 257 across the 37 of their papers we have counts for
5 papers · 1 filter
The accessibility of convex bodies and derandomization of the hit and run algorithm
Benoit Collins, Termeh Kousha, Rafał Kulik +2
We introduce the concept of accessibility and prove that any convex body in is accessible with relevant constants depending on only. This property leads to a…
Robust Device-Independent Randomness Amplification with Few Devices
Fernando G. S. L. Brandao, Ravishankar Ramanathan, Andrzej Grudka +5
Randomness amplification is the task of transforming a source of somewhat random bits into a source of fully random bits. Although it is impossible to amplify randomness from a sin…
Robust Device Independent Randomness Amplification
Ravishankar Ramanathan, Fernando G. S. L. Brandao, Andrzej Grudka +3
In randomness amplification a slightly random source is used to produce an improved random source. Perhaps surprisingly, a single source of randomness cannot be amplified at all cl…
The shark teeth is a topological IFS-attractor
Magdalena Nowak, Tomasz Szarek
We show that the space called shark teeth is a topological IFS-attractor, that is for every open cover of , its image under every suitable large compositio…
On fundamental harmonic analysis operators in certain Dunkl and Bessel settings
Alejandro J. Castro, Tomasz Z. Szarek
We consider several harmonic analysis operators in the multi-dimensional context of the Dunkl Laplacian with the underlying group of reflections isomorphic to (als…