3 papers
math.PR2025
A law of large numbers concerning the distribution of critical points of random Fourier series
Qiangang "Brandon'' Fu, Liviu I. Nicolaescu
On the flat torus with angular coordinates we consider the random function , wher…
math.PR2024
A law of large numbers concerning the number of critical points of isotropic Gaussian functions
Liviu I. Nicolaescu
We investigate the distribution of critical points of certain isotropic random functions on . We show that the distribution of critical points of , suita…
math.PR2024
A probabilistic computation of a Mehta integral
Liviu I. Nicolaescu
We use the Kac-Rice formula to compute the Mehta integral describing the normalization constant arising in the statistics of the Gaussian Orthogonal Ensemble.