7 citations · 7 across the 2 of their papers we have counts for
4 papers
The Reverse Littlewood--Offord problem of Erdős
Xiaoyu He, Tomas Juskevicius, Bhargav Narayanan +1
Let be a sequence of independent Rademacher random variables. We prove that there is a constant such that for any unit vectors $v_1,\ldots,v_n\in \mathbb…
A non-uniform Littlewood-Offord inequality
Dainius Dzindzalieta, Tomas Juškevičius
Consider a sum , where are non-zero vectors in and are independent Ra…
Majority Bootstrap Percolation on
Cecilia Holmgren, Tomas Juškevičius, Nathan Kettle
Majority bootstrap percolation on a graph is an epidemic process defined in the following manner. Firstly, an initially infected set of vertices is selected. Then step by step…
Optimal Probability Inequalities for Random Walks related to Problems in Extremal Combinatorics
Dainius Dzindzalieta, Matas Šileikis, Tomas Juškevičius
Let S_n=X_1+...+X_n be a sum of independent symmetric random variables such that |X_{i}|\leq 1. Denote by W_n=ε_{1}+...+ε_{n} a sum of independent random variables such that \prob{…