Compositions of random processes in a Hilbert space and its limit distribution
DOI10.1134/s1995080223040212zbMath1530.81011OpenAlexW4384009916MaRDI QIDQ6133596
Yu. N. Orlov, V. Zh. Sakbaev, E. V. Shmidt
Publication date: 18 August 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080223040212
Markov processeslaw of large numberscentral limit theoremFeynman-Kac formulaKolmogorov equationrandom linear operatorrandom operator valued process
Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General and philosophical questions in quantum theory (81P05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Random linear operators (47B80) Orbital mechanics (70M20) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)
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