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Upper and lower estimates for rate of convergence in the Chernoff product formula for semigroups of operators
OE Galkin, ID Remizov - Israel Journal of Mathematics, 2024 - Springer
This paper studies the rates of convergence of Chernoff approximations to operator
semigroups. We show that the convergence, in general, can be arbitrarily fast or arbitrarily …
semigroups. We show that the convergence, in general, can be arbitrarily fast or arbitrarily …
Compositions of random processes in a Hilbert space and its limit distribution
YN Orlov, VZ Sakbaev, EV Shmidt - Lobachevskii Journal of Mathematics, 2023 - Springer
Random processes with values in an infinite dimensional linear spaces are studied. These
processes are presented by the random linear operators acting in the space of square …
processes are presented by the random linear operators acting in the space of square …
Operator approach to weak convergence of measures and limit theorems for random operators
YN Orlov, VZ Sakbaev, EV Shmidt - Lobachevskii Journal of Mathematics, 2021 - Springer
The generalized weak convergence of a sequence of measures is induced by the
convergence of the linear operators generated by the measures. A corresponding …
convergence of the linear operators generated by the measures. A corresponding …
Limit distribution for compositions of random operators
VZ Sakbaev, EV Shmidt, V Shmidt - Lobachevskii Journal of Mathematics, 2022 - Springer
Limit theorems for compositions of independent linear operators acting in a finite
dimensional Euclidean space are studied. An example of application of the limit theorems to …
dimensional Euclidean space are studied. An example of application of the limit theorems to …