12 citations · 12 across the 5 of their papers we have counts for
8 papers · 1 filter
Investigation of sample paths properties of sub-Gaussian type random fields, with application to stochasic heat equations
Olha Hopkalo, Lyudmyla Sakhno
The paper presents bounds for the distributions of suprema for a particular class of sub-Gaussian type random fields defined over spaces with anisotropic metrics. The results are a…
Investigation of Airy equations with random initial conditions
Lyudmyla Sakhno
The paper investigates properties of mean-square solutions to the Airy equation with random initial data given by stationary processes. The result on the modulus of continiuty of t…
Models of space-time random fields on the sphere
Mirko D'Ovidio, Enzo Orsingher, Lyudmyla Sakhno
We study general models of random fields associated with non-local equations in time and space. We discuss the properties of the corresponding angular power spectrum and find asymp…
Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions
Yuriy Kozachenko, Enzo Orsingher, Lyudmyla Sakhno +1
In the paper we consider higher-order partial differential equations from the class of linear dispersive equations. We investigate solutions to these equations subject to random in…
Properties of Poisson processes directed by compound Poisson-Gamma subordinators
Khrystyna Buchak, Lyudmyla Sakhno
In the paper we consider time-changed Poisson processes where the time is expressed by compound Poisson-Gamma subordinators and derive the expressions for their hitting t…
Estimates for functionals of solutions to higher-order heat-type equations with random initial conditions
Yu. Kozachenko, E. Orsingher, L. Sakhno +1
In the present paper we continue the investigation of solutions to higher-order heat-type equations with random initial conditions, which play the important role in many applied ar…