Local nondeterminism and joint continuity of the local times for operator-scaling stable random fields
Local nondeterminism and joint continuity of the local times for operator-scaling stable random fields
Let $~X=\{~X(t),~t~\in~\mathbb{R}^{N}\}$ be a real-valued harmonizable operator-scaling stable random field with stationary increments. Local nondeterminism for $X$ is derived by using a Fourier analytic argument. We use it to obtain the sufficient conditions for the existence and joint continuity of the local times of $X$.