17 citations · 22 across the 5 of their papers we have counts for
6 papers
Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling
Radosław Adamczak, Alexander E. Litvak, Alain Pajor +1
This paper considers compressed sensing matrices and neighborliness of a centrally symmetric convex polytope generated by vectors , (). We intro…
A few remarks on the operator norm of random Toeplitz matrices
Radosław Adamczak
We present some results concerning the almost sure behaviour of the operator norm or random Toeplitz matrices, including the law of large numbers for the norm, normalized by its ex…
A tail inequality for suprema of unbounded empirical processes with applications to Markov chains
Radosław Adamczak
We present a tail inequality for suprema of empirical processes generated by variables with finite norms and apply it to some geometrically ergodic Markov chains to derive si…
The LIL for canonical -statistics
Radosław Adamczak, Rafał Latała
We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for canonical -statistics of arbitrary order , extending the previously known resu…
Moment inequalities for U-statistics
Radosław Adamczak
We present moment inequalities for completely degenerate Banach space valued (generalized) U-statistics of arbitrary order. The estimates involve suprema of empirical processes whi…
Logarithmic Sobolev Inequalities and Concentration of Measure for Convex Functions and Polynomial Chaoses
Radoslaw Adamczak
We prove logarithmic Sobolev inequalities and concentration results for convex functions and a class of product random vectors. The results are used to derive tail and moment inequ…