Sho Matsumoto

activity

20032022

most citedAn isolated mass gap black hole or neutron star detected with astrometric microlensing

140 citations · 609 across the 35 of their papers we have counts for

collaborators

Showing 2011 · math.PRShow all

3 papers · 2 filters

math.PR2011★ 18 cited

General moments of matrix elements from circular orthogonal ensembles

Sho Matsumoto

The aim of this paper is to present a systematic method for computing moments of matrix elements taken from circular orthogonal ensembles (COE). The formula is given as a sum of We…

math.PR2011★ 4 cited

Moments of a single entry of circular orthogonal ensembles and Weingarten calculus

Sho Matsumoto

Consider a symmetric unitary random matrix $V = (v_{ij})_{1 \leq i, j \leq N}$ from a circular orthogonal ensemble. In this paper, we study moments of a single entry $v_{ij}$ . For a dia…

math.PR2011★ 19 cited

Moments of traces of circular beta-ensembles

Tiefeng Jiang, Sho Matsumoto

Let $θ_{1}, \dots, θ_{n}$ be random variables from Dyson's circular $β$ -ensemble with probability density function $\operatorname {Const}\cdot\prod_{1\leq j<k\leq n}|e^{iθ_j}-e^{iθ_k}|^…