  We study theoretically the spin fluctuations of nuclei in quantum dots. We
employ the central spin model which accounts for the hyperfine interaction of
the nuclei with the electron spin. We present an analytical solution in the
frame of the box model approximation where all hyperfine coupling constants are
assumed to be equal. These results are in good agreement with numerical
simulations. We demonstrate that in rather high magnetic field the nuclear spin
noise spectra has a two-peak structure centered at the nuclear Zeeman frequency
with the shape of the spectrum controlled by the distribution of the hyperfine
constants.
