M. Skriganov

activity

20132020

collaborators

4 papers

math.MG2020

Bounds for discrepancies in the Hamming space

Alexander Barg, Maxim Skriganov

We derive bounds for the ball $L_{p}$ -discrepancies in the Hamming space for $0 < p < \infty$ and $p = \infty$ . Sharp estimates of discrepancies have been obtained for many spaces such as…

math.MG2018

Bounds for $L_{p}$ -discrepancies of point distributions in compact metric spaces

M. M. Skriganov

Upper bounds for the $L_{p}$ -discrepancies of point distributions in compact metric measure spaces for $0 < p \leq \infty$ have been established in the paper [6] by Brandolini, Chen, Colz…

math.MG2017

Point distributions in compact metric spaces, II

M. M. Skriganov

We consider finite point subsets (distributions) in compact metric spaces. In the case of general rectifiable metric spaces, non-trivial bounds for sums of distances between points…

math.FA2013

Association schemes on general measure spaces and zero-dimensional Abelian groups

Alexander Barg, Maxim Skriganov

Association schemes form one of the main objects of algebraic combinatorics, classically defined on finite sets. In this paper we define association schemes on arbitrary, possibly…

Bounds for discrepancies in the Hamming space

Bounds for Lp​-discrepancies of point distributions in compact metric spaces

Point distributions in compact metric spaces, II

Association schemes on general measure spaces and zero-dimensional Abelian groups

Bounds for $L_{p}$ -discrepancies of point distributions in compact metric spaces