Good morning,
I'd like to ask a question based on this paper, which is about Gaussian Stationary Processes. One of the main concepts is the concept of a spectral measure. After Theorem 4.1 of this paper is proven, there is a behaviour of the spectral measure described as being "exploding at $0$" if $\gamma <1$ (the assumption is, that $\rho ([0, \frac{1}{N}]) \geq bN^{-\gamma}$, where $\rho$ is the spectral measure). Similarly, a spectrum bounded at $0$ is considered to be for $\gamma =1$ and a spectrum vanishing at $0$ is considered to be for $\gamma >1$.
Can someone explain to me this terminology? I am familiar to the terms in this paper and the other steps made there are clear.