  In this article, we study fluctuations of the volume of a stable sausage
defined via a $d$-dimensional rotationally invariant $\alpha$-stable process.
As the main results, we establish a functional central limit theorem (in the
case when $d/\alpha>3 /2$) with a standard one-dimensional Brownian motion in
the limit, and Khintchine's and Chung's laws of the iterated logarithm (in the
case when $d/\alpha>9 /5$).
