Stochastic action of dynamical systems on curved manifolds. The geodesic interpolation

DOI10.1063/1.528898zbMath0718.58022OpenAlexW2038827656MaRDI QIDQ5750000

Ettore Aldrovandi, Francesco Guerra, Daniela Dohrn

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528898

zbMATH Keywords

dynamical systemsrenormalizationcurved manifoldsFeynman path integralsstochastic variational principlesregular diffusion stochastic process

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Variational principles in infinite-dimensional spaces (58E30) Diffusion processes (60J60) Applications of dynamical systems (37N99) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Existence of optimal solutions to problems involving randomness (49J55)

Related Items

Hamilton’s principle in stochastic mechanics, Stochastic processes in conformal Riemann-Cartan-Weyl gravitation, The Lagrangian approach to stochastic variational principles on curved manifolds

Cites Work

• Conservative diffusions
• Integral of differential forms along the path of diffusion processes
• Mechanics on manifolds and the incorporation of spin into Nelson's stochastic mechanics
• On the dynamics of diffusions and the related general electromagnetic potentials
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles