92 citations · 273 across the 36 of their papers we have counts for
41 papers
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 , where…
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.
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 , suitabl…
Critical points of multidimensional random Fourier series: central limits
Liviu I. Nicolaescu
We investigate certain families , , of Gaussian random smooth functions on the -dimensional torus $\mathbb{T}^m_\hbar:=\mathbb{R}^m/(\hbar^{-1}\mathbb{Z}…
A CLT concerning critical points of random functions on a Euclidean space
Liviu I. Nicolaescu
We prove a central limit theorem concerning the number of critical points in large cubes of an isotropic Gaussian random function on a Euclidean space.
A stochastic Gauss-Bonnet-Chern formula
Liviu I. Nicolaescu
We prove that a Gaussian ensemble of smooth random sections of a real vector bundle over compact manifold canonically defines a metric on the bundle together with a connection comp…