When is a stochastic integral a time change of a diffusion?
From MaRDI portal
Publication:912482
DOI10.1007/BF01045159zbMath0698.60046OpenAlexW2765201918MaRDI QIDQ912482
Publication date: 1990
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01045159
harmonic morphismfiltering theoryconformal martingalesconformal martingalesemi-martingale theorystochastic Ito integraltime change of Ito diffusion
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Martingales with continuous parameter (60G44)
Related Items
\(W\)-symmetries of jump-diffusion Itô stochastic differential equations ⋮ Lie point symmetries of autonomous scalar first-order Itô stochastic delay ordinary differential equations ⋮ On solutions to Itô stochastic differential equations ⋮ Random Lie symmetries of Itô stochastic differential equations ⋮ Optimal control for a linear quadratic problem with a stochastic time scale ⋮ Lie symmetry reductions and integrability of approximated small delay stochastic differential equations ⋮ On a Solvable Diffusion with Time Dependent “Killing” ⋮ Random Lie-point symmetries ⋮ A simple mechanism for financial bubbles: time-varying momentum horizon
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conformal martingales
- A stochastic characterization of harmonic morphisms
- Stochastic harmonic morphisms: Functions mapping the paths of one diffusion into the paths of another
- Processes that can be embedded in Brownian motion
- Conformal martingales and analytic functions.
- Quasimartingales, martingales locales, semimartingales et filtration naturelle
- ON THE QUESTION OF ABSOLUTE CONTINUITY AND SINGULARITY OF PROBABILITY MEASURES
- ON CONTINUOUS MARTINGALES
- Markov functions
- Stochastic differential equations. An introduction with applications.