On the eigenfunctions of the Fokker-Planck operator and of its adjoint

DOI10.1016/0378-4371(87)90019-7zbMath0667.60081OpenAlexW2081752403MaRDI QIDQ1117596

Dietrich Ryter

Publication date: 1987

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(87)90019-7

zbMATH Keywords

stationary distributioneigenfunctions of the forward and backward operatorgeneralization of the Kramers method

Mathematics Subject Classification ID

Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Some reduction methods of problems of nonlinear stochastic dynamics ⋮ Multistable systems with moderate noise: Coarse-graining to a Markovian jump process and evaluation of the transition rates ⋮ Sparsity enabled cluster reduced-order models for control ⋮ The exit problem at weak noise, the two-variable quasipotential, and the Kramers problem ⋮ Detailed balance in non-equilibrium systems ⋮ Reaction rate theory: What it was, where is it today, and where is it going? ⋮ Maximum-entropy approach with higher moments for solving Fokker-Planck equation

Cites Work

• Multistable systems with moderate noise: Coarse-graining to a Markovian jump process and evaluation of the transition rates
• Persistence of Dynamical Systems under Random Perturbations
• A New Proof of a Theorem Concerning the Relationship between the Lebesgue Integral and RC -Integral
• Brownian motion in a field of force and the diffusion model of chemical reactions
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