Cambyse Pakzad

activity

20182025

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2019

Extremes of Chi triangular array from the Gaussian $β$ -Ensemble at high temperature

Cambyse Pakzad

We study the extreme point process associated to the off-diagonal components in the matrix representation of the Gaussian $β$ -Ensemble and prove its convergence to Poisson point pr…

math.PR2018

Large deviations principle for the largest eigenvalue of the Gaussian beta-ensemble at high temperature

Cambyse Pakzad

We consider the Gaussian beta-ensemble when $β$ scales with $n$ the number of particles such that $n^{- 1} ≪ β ≪ 1$ . Under a certain regime for $β$ , we show that…

math.PR2018

Poisson statistics at the edge of Gaussian beta-ensembles at high temperature

Cambyse Pakzad

We study the asymptotic edge statistics of the Gaussian $β$ -ensemble, a collection of $n$ particles, as the inverse temperature $β$ tends to zero as $n$ tends to infinity. In a cer…

Extremes of Chi triangular array from the Gaussian β-Ensemble at high temperature

Large deviations principle for the largest eigenvalue of the Gaussian beta-ensemble at high temperature

Poisson statistics at the edge of Gaussian beta-ensembles at high temperature

Extremes of Chi triangular array from the Gaussian $β$ -Ensemble at high temperature