Title: Some interesting direct sums in probability theory.
Speak: Prof. Yanqi qiu (Chinese science of Academy)

Time: 3:00pm to 4 pm, 24th July, 2017
venue:maths center 813

Abstract: Two subsets A, B in an Abelian group are called in direct sum position, if the equation a + b = a' + b' has trivial solution under the constraint a, a' in A and b, b' in B, that is, a = a' and b = b'. We propose an investigation of this concept in probability theory. In particular, by using entire function method, we show that the set of Poisson point processes and the set of a determinantal point processes on a common phase space are in direct sum position.  We try to make this talk as elementary as possible.