Hadamard product of random matrices and their limiting spectral distributions
Time: May 15 (Wed.) 14:00-15:00
Place: S101, Gongguan Campus, NTNU
Assoc. Prof. Hao-Wei Huang
黃皓瑋 副教授
清華大學 數學系
In this talk I shall present the limiting spectral distributions of the Hadamard products of random matrices GUEs. In certain scenarios, the limiting spectral distributions of such random matrix models exist and can be described in terms of square free convolutions. One related question to square free additive convolution is to investigate when the multiplicative convolution of the semi-circular law and a probability law on the positive real line has a semi-circular law as a component in the free additive convolution. We shall answer this question by offering necessary and sufficient conditions. This is joint work with Ming Hsiao.