A finite set of integers $ A $ is a sum-dominant (also called an More Sums Than Differences
or MSTD) set if $| A+ A|>| AA| $. While almost all subsets of $\{0,\dots, n\} $ are not sum …

Text A sum-dominant set is a finite set A of integers such that| A+ A|>| A− A|. As a typical pair
of elements contributes one sum and two differences, we expect sum-dominant sets to be …

We study $| A+ A| $ as a random variable, where $ A\subseteq\{0,\dots, N\} $ is a random
subset such that each $0\le n\le N $ is included with probability $0< p< 1$, and where $ A+ …

Abstract Lazarev, Miller and O'Bryant 11 investigated the distribution of| S+ S|| S+ S| for S
chosen uniformly at random from {0, 1,\dots, n-1\} 0, 1,⋯, n-1, and proved the existence of a …

We consider random sparse arrays whose sensors are randomly placed on a grid of fixed
size. Although deterministic sparse array geometries such as nested, coprime and their …

Given a finite set of integers A, its sumset is A+ A:={a i+ aj| ai, aj∈ A}. We examine| A+ A| as
a random variable, where A⊂ I n=[0, n− 1], the set of integers from 0 to n− 1, so that each …

Distribution of Missing Sums in Correlated Sumsets Page 1 Introduction Expected Value
Variance Correlated Sets Conclusion Distribution of Missing Sums in Correlated Sumsets Dylan …

arXiv:1609.01700v3 [math.NT] 25 Jun 2017 Page 1 arXiv:1609.01700v3 [math.NT] 25 Jun
2017 PROBLEMS IN ADDITIVE NUMBER THEORY, V: AFFINELY INEQUIVALENT MSTD …

A finite set of integers A is a More Sums Than Differences (MSTD) set if| A+ A|>| A− A|. While
almost all subsets of {0,..., n} are not MSTD, interestingly a small positive percentage are. We …