5 papers
On the inverse problem of fractional Brownian motion and the inverse of infinite Toeplitz matrices
Safari, Mukeru, Mmboniseni P +1
The inverse problem of fractional Brownian motion and other Gaussian processes with stationary increments involves inverting an infinite hermitian positively definite Toeplitz matr…
Zeros of Gaussian power series, Hardy spaces and determinantal point processes
Safari Mukeru, Mmboniseni P. Mulaudzi
Given a sequence of standard i.i.d complex Gaussian random variables, Peres and Virág (in the paper ``Zeros of the i.i.d. Gaussian power series: a conformally invariant det…
Some applications of the Menshov-Rademacher theorem
Safari Mukeru
Given a sequence of real or complex random variables and a sequence of numbers , an interesting problem is to determine the conditions under which the series $\sum_{…
A generalisation of Pisier homogeneous Banach algebra
Safari Mukeru
In 1979 Pisier proved remarkably that a sequence of independent and identically distributed standard Gaussian random variables determines, via random Fourier series, a homogeneous…
On the convergence of series of dependent random variables
Safari Mukeru
Given a sequence of symmetrical random variables taking values in a Hilbert space, an interesting open problem is to determine the conditions under which the series $\sum_{…