Diffusion processes with singular drift fields

DOI10.1007/BF01206145zbMath0646.60066MaRDI QIDQ1103971

Simon Golin, Philippe Blanchard

Publication date: 1987

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

zbMATH Keywords

stochastic differential equationsstochastic mechanicssingular driftglobal existence and uniqueness theoremtime evolution of quantum systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Diffusions with singular drift related to wave functions ⋮ Sharp estimates for capacities and applications to symmetric diffusions ⋮ Lagrangian variational principle in stochastic mechanics: Gauge structure and stability ⋮ A Finite-Energy Bound on the Approach of a Diffusion to the Zeros of its Density ⋮ Transformations of diffusion and Schrödinger processes ⋮ A liapunov-type theorem for nelson diffusions and nonattainability of nodes ⋮ The divine clockwork: Bohr’s correspondence principle and Nelson’s stochastic mechanics for the atomic elliptic state ⋮ Non-negative Feynman–Kac kernels in Schrödinger’s interpolation problem ⋮ Ergodicity of Finite-Energy Diffusions ⋮ On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state ⋮ An improved lyapunov-function approach to the behavior of diffusion processes in hilbert spaces ⋮ Geometry of the Schrödinger equation and stochastic mass transportation ⋮ Bernstein processes and Pauli-type equations

Cites Work

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• Conservative diffusions
• Tightness results for laws of diffusion processes application to stochastic mechanics
• Segregation of a population in an environment
• Capacity and quantum mechanical tunneling
• A remark on the connection between stochastic mechanics and the heat equation
• Uniform Asymptotic Estimates for Wave Packets in the Quantum Theory of Scattering

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