Unitary representation of walks along random vector fields and the Kolmogorov-Fokker-Planck equation in a Hilbert space
DOI10.1134/s004057792402003xOpenAlexW4392204109MaRDI QIDQ6121937
Yu. N. Orlov, V. Zh. Sakbaev, V. M. Busovikov
Publication date: 26 March 2024
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s004057792402003x
Sobolev spaceinvariant measurerandom operatorKolmogorov-Fokker-Planck equationGaussian random walkWeil theoremLaplace-Volterra operatorrandom Hamiltonian flow
Generation, random and stochastic difference and differential equations (37H10) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Random nonlinear operators (47H40) Fokker-Planck equations (35Q84)
Cites Work
- Existence and uniqueness of translation invariant measures in separable Banach spaces
- Averaging of random walks and shift-invariant measures on a Hilbert space
- Hamiltonian approach to secondary quantization
- Perturbation theory for linear operators.
- Operator approach to weak convergence of measures and limit theorems for random operators
- Schrödinger quantization of infinite-dimensional Hamiltonian systems with a nonquadratic Hamiltonian function
- Random quantization of Hamiltonian systems
- Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure
- Feynman formulas and the law of large numbers for random one-parameter semigroups
- Complete integrability of quantum and classical dynamical systems
- Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations
- Note on product formulas for operator semigroups
- Symplectic geometry on an infinite-dimensional phase space and an asymptotic representation of quantum averages by Gaussian functional integrals
- “Lebesgue measure” on ℝ^{∞}, II
- Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups
- Lebesgue-Feynman measures on infinite dimensional spaces
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