Vadym Radchenko

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math.PR2026

Asymptotic properties of the heat equation driven by stochastic measure

Vadym Radchenko

For the heat equations driven by a stochastic measure on $[- L, L]$ with the Dirichlet boundary condition, we prove that solutions tend to the solution of the heat equations defined…

math.PR2024

Regularity of paths of stochastic measures

Vadym Radchenko

Random functions $μ (x)$ , generated by values of stochastic measures are considered. The Besov regularity of the continuous paths of $μ (x)$ , $x \in [0, 1]^{d}$ is proved. Fourier series…

math.PR2024

Sample path properties of multidimensional integral with respect to stochastic measure

Boris Manikin, Vadym Radchenko

The integral with respect to a multidimensional stochastic measure, for which we assume only $σ$ -additivity in probability, is studied. The continuity and differentiability of its…