Tomas Juškevičius
Researcher
Institute of Computer Science of Vilnius University
Scientific interests
Concentration of measure, Small ball probability, Extremal Combinatorics
Publications
Anticoncentration of random vectors via the perfect graph theorem, submitted. PDF
The sharp form of the Kolmogorov--Rogozin inequality and a conjecture of Leader--Radcliffe, submitted. PDF
Cosine polynomials with few zeros, Bulletin of the London Mathematical Society, Volume 53, Issue 3 (2021) (with J. Sahasrabudhe). PDF
On Littlewood-Offord theory for arbitrary distributions, Random Structures and Algorithms, Volume 58, Issue 1 (2021) (with V. Kurauskas). PDF
A non-uniform Littlewood-Offord inequality, Discrete Mathematics, Volume 343, Issue 7 (2020) (with D. Dzindzalieta). PDF
Optimal Littlewood-Offord inequalities in groups, Combinatorica 39, 911-921 (2019) (with G. Šemetulskis). PDF
Small ball probabilities, maximum density and rearrangements, preprint (with J. Lee). PDF
Majority Bootstrap Percolation on G(n, p), Electr. J. Comb. 24(1) (2017), (with C. Holmgren, N. Kettle). PDF
Optimal Probability Inequalities for Random Walks Related to Problems in Extremal Combinatorics, SIAM J. Discrete Math. 26-2 (2012), pp. 828-837 (with D. Dzindzalieta, M. Šileikis). PDF
Bounds for Tail Probabilities of Martingales Using Skewness and Kurtosis, Lithuanian Mathematical Journal (2008), vol. 48, no. 1, pp. 30-37 (with V. Bentkus). PDF