3 papers
math.PR2025
The Geometry of Gaussian Random Curves
Qingsong Wang, A. A. Dorogovtsev, K. V. Hlyniana +1
In this paper, we investigate some geometric properties of non-smooth random curves within a stochastic flow. We consider a polygonal line , whi…
math.PR2024
Hitting time for one class of Gaussian proccesses
Qingsong Wang, A. A. Dorogovtsev
In this paper we propose the method to find the hitting probabilities for Gaussian integrators. Using second quantization we obtain the sseries representation for such probabilitie…
math.PR2024
Universal generalized functionals and finitely absolutely continuous measures on Banach spaces
A. A. Dorogovtsev, Naoufel Salhi
In this paper we collect several examples of convergence of functions of random processes to generalized functionals of those processes. We remark that the limit is always finitely…