# Sums

Thursday, October 2, 2014 - 10:15am - 11:05am

Terence Tao (University of California, Los Angeles)

Tuesday, September 30, 2014 - 11:30am - 12:20pm

Terence Tao (University of California, Los Angeles)

Wednesday, October 1, 2014 - 10:15am - 11:05am

Terence Tao (University of California, Los Angeles)

Monday, September 29, 2014 - 9:00am - 9:50am

Terence Tao (University of California, Los Angeles)

Littlewood-Offord theory is the study of random signed sums

of n integers (or more generally, vectors), being particularly

concerned with the probability that such a sum equals a fixed value

(such as zero) or lies in a fixed set (such as the unit ball).

Inverse Littlewood-Offord theory starts with some information about

such probabilities (e.g. that a signed sum equals 0 with high

probability) and deduces structural information about the original

spacings (typically, that they are largely contained within a

of n integers (or more generally, vectors), being particularly

concerned with the probability that such a sum equals a fixed value

(such as zero) or lies in a fixed set (such as the unit ball).

Inverse Littlewood-Offord theory starts with some information about

such probabilities (e.g. that a signed sum equals 0 with high

probability) and deduces structural information about the original

spacings (typically, that they are largely contained within a