DOI

A method of probabilistic approximation of the operator e−itH, where H=−12d2dx2+V(x), V∈L∞(R), in the strong operator topology is proposed. The approximating operators have the form of expectations of functionals of sums of independent identically distributed random variables.
Translated title of the contributionApproximation of the evolution operator by expectations of functionals of sums of independent random variables
Original languageRussian
Pages (from-to)17-35
Number of pages18
JournalТЕОРИЯ ВЕРОЯТНОСТЕЙ И ЕЕ ПРИМЕНЕНИЯ
Volume64
Issue number1
DOIs
StatePublished - 2019

    Research areas

  • evolution equations, Limit theorems, Feynman–Kac formula

    Scopus subject areas

  • Statistics and Probability

ID: 39419144