A complex analogue of the central limit theorem and a probabilistic approximation of the Feynman integral

DOI10.1134/S1064562414070229zbMath1321.60040MaRDI QIDQ2353028

I. A. Ibragimov, M. M. Faddeev, Nataliya V. Smorodina

Publication date: 7 July 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

central limit theoremFeynman integral

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (6)

Initial Boundary Value Problems in a Bounded Domain: Probabilistic Representations of Solutions and Limit Theorems II ⋮ Initial Boundary Value Problems in a Bounded Domain: Probabilistic Representations of Solutions and Limit Theorems. I ⋮ Probabilistic representations for solutions to initial boundary value problems for non-stationary Schrödinger equation in \(d\)-hyperball ⋮ Probabilistic Representation of a Solution of the Cauchy Problem for Evolution Equations with Riemann--Liouville Operators ⋮ On a limit theorem related to probabilistic representation of solution to the Cauchy problem for the Schrödinger equation ⋮ Reflecting Brownian motion in the \(d\)-ball

Cites Work

• Sur une résolution stochastique de l'équation de Schrödinger à coefficients analytiques
• Mathematical theory of Feynman path integrals. An introduction
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