Tomas Juškevičius

Senior Researcher

Institute of Computer Science of Vilnius University

Scientific interests

Concentration of measure, Small ball probability, Extremal Combinatorics

Publications

• 1. The reverse Littlewood-Offord problem of Erdös, submitted. PDF 

  2. Anticoncentration of random vectors via the perfect graph theorem, Combinatorica (to appear). PDF

  3. The sharp form of the Kolmogorov--Rogozin inequality and a conjecture of Leader--Radcliffe, Bulletin of the London Mathematical Society (to appear) . PDF

  4. Cosine polynomials with few zeros, Bulletin of the London Mathematical Society, Volume 53, Issue 3 (2021) (with J. Sahasrabudhe). PDF

  5. On Littlewood-Offord theory for arbitrary distributions, Random Structures and Algorithms, Volume 58, Issue 1 (2021) (with V. Kurauskas). PDF

  6. A non-uniform Littlewood-Offord inequality, Discrete Mathematics, Volume 343, Issue 7 (2020) (with D. Dzindzalieta). PDF

  7. Optimal Littlewood-Offord inequalities in groups, Combinatorica 39, 911-921 (2019) (with G. Šemetulskis). PDF

  8. Small ball probabilities, maximum density and rearrangements, preprint (with J. Lee). PDF

  9. Majority Bootstrap Percolation on G(n, p), Electr. J. Comb. 24(1) (2017), (with C. Holmgren, N. Kettle). PDF

  10. 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

  11. 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