strong Markov property of Brownian motion
E957840
UNEXPLORED
The strong Markov property of Brownian motion states that, at any stopping time, the future evolution of the process is independent of the past and has the same distribution as a Brownian motion starting from the current position.
All labels observed (1)
| Label | Occurrences |
|---|---|
| strong Markov property of Brownian motion canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11961992 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: strong Markov property of Brownian motion Context triple: [Brownian filtration, relatedTo, strong Markov property of Brownian motion]
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A.
Brownian filtration
Brownian filtration is the natural increasing family of σ-algebras generated by a Brownian motion, encoding all information revealed by the process up to each time.
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B.
Dyson Brownian motion
Dyson Brownian motion is a stochastic process describing the time evolution of eigenvalues of random matrices as if they were interacting particles undergoing Brownian motion, fundamental in random matrix theory.
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C.
Dynkin formula
Dynkin formula is a fundamental result in the theory of Markov processes that expresses the expected value of a function of the process at a stopping time in terms of its generator and an integral over time.
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D.
Doob’s h-transform
Doob’s h-transform is a probabilistic technique that conditions Markov processes on future behavior by reweighting paths with a harmonic function, yielding a new process with modified transition dynamics.
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E.
Brownian motion
Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: strong Markov property of Brownian motion Target entity description: The strong Markov property of Brownian motion states that, at any stopping time, the future evolution of the process is independent of the past and has the same distribution as a Brownian motion starting from the current position.
-
A.
Brownian filtration
Brownian filtration is the natural increasing family of σ-algebras generated by a Brownian motion, encoding all information revealed by the process up to each time.
-
B.
Dyson Brownian motion
Dyson Brownian motion is a stochastic process describing the time evolution of eigenvalues of random matrices as if they were interacting particles undergoing Brownian motion, fundamental in random matrix theory.
-
C.
Dynkin formula
Dynkin formula is a fundamental result in the theory of Markov processes that expresses the expected value of a function of the process at a stopping time in terms of its generator and an integral over time.
-
D.
Doob’s h-transform
Doob’s h-transform is a probabilistic technique that conditions Markov processes on future behavior by reweighting paths with a harmonic function, yielding a new process with modified transition dynamics.
-
E.
Brownian motion
Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.