Abstract:
For the Gaussian integrators with values in $\mathbb{R}$ and $\mathbb{R}^2$ the properties of the local time is investigated in terms of the operator which determines the geometry of covariance function. The explicit formula for the modulus of continuity of Gaussian integrators is obtained.
Keywords:Integrator, white noise, local time, self-intersection local time, local nondeterminism, modulus of continuity.