Processus stochastiques et mouvement brownien
E1020439
Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Processus stochastiques et mouvement brownien canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13070818 — 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: Processus stochastiques et mouvement brownien Context triple: [Paul Lévy, notableWork, Processus stochastiques et mouvement brownien]
-
A.
Random Walk and the Theory of Brownian Motion
"Random Walk and the Theory of Brownian Motion" is a mathematical work by Mark Kac that rigorously develops the connection between discrete random walks and continuous Brownian motion within probability theory.
-
B.
Probabilités et potentiel
Probabilités et potentiel is a foundational mathematical text that develops modern probability theory using the tools and perspective of potential theory.
-
C.
Théorie analytique des probabilités
Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
-
D.
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.
-
E.
Lyons' rough path theory
Lyons' rough path theory is a mathematical framework that extends classical calculus to analyze and solve differential equations driven by highly irregular signals, such as paths with low regularity or stochastic processes like Brownian motion.
- 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: Processus stochastiques et mouvement brownien Target entity description: Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
-
A.
Random Walk and the Theory of Brownian Motion
"Random Walk and the Theory of Brownian Motion" is a mathematical work by Mark Kac that rigorously develops the connection between discrete random walks and continuous Brownian motion within probability theory.
-
B.
Probabilités et potentiel
Probabilités et potentiel is a foundational mathematical text that develops modern probability theory using the tools and perspective of potential theory.
-
C.
Théorie analytique des probabilités
Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
-
D.
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.
-
E.
Lyons' rough path theory
Lyons' rough path theory is a mathematical framework that extends classical calculus to analyze and solve differential equations driven by highly irregular signals, such as paths with low regularity or stochastic processes like Brownian motion.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ |
| author | Paul Lévy NERFINISHED ⓘ |
| contribution |
development of the mathematical theory of Brownian motion
ⓘ
development of the theory of stochastic processes ⓘ |
| countryOfOrigin | France ⓘ |
| field |
mathematics
ⓘ
probability theory ⓘ stochastic analysis ⓘ |
| genre |
mathematics textbook
ⓘ
scientific literature ⓘ |
| hasInfluenceOn |
mathematical finance
ⓘ
statistical physics ⓘ stochastic differential equations ⓘ |
| hasPart |
measure-theoretic foundations of stochastic processes
ⓘ
results on Gaussian processes ⓘ results on Markov processes ⓘ results on martingale-type ideas ⓘ study of sample path properties of stochastic processes ⓘ theory of Brownian motion as a stochastic process ⓘ |
| historicalPeriod | 20th-century mathematics ⓘ |
| influenced |
modern probability theory
ⓘ
stochastic calculus ⓘ theory of Markov processes ⓘ |
| influencedBy |
Albert Einstein
NERFINISHED
ⓘ
Norbert Wiener NERFINISHED ⓘ |
| language | French ⓘ |
| mainSubject |
Brownian motion
NERFINISHED
ⓘ
stochastic processes ⓘ |
| namedAfter | Brownian motion NERFINISHED ⓘ |
| notableFor |
rigorous treatment of Brownian motion
ⓘ
systematic development of stochastic process theory ⓘ |
| originalTitle | Processus stochastiques et mouvement brownien NERFINISHED ⓘ |
| relatedConcept |
Gaussian process
NERFINISHED
ⓘ
Markov process ⓘ Wiener process NERFINISHED ⓘ hitting times ⓘ local time of Brownian motion ⓘ probability measure ⓘ random walk ⓘ sample path continuity ⓘ |
| relatedWork | Théorie de l’addition des variables aléatoires NERFINISHED ⓘ |
| usedIn |
advanced courses on stochastic processes
ⓘ
research in probability theory ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Processus stochastiques et mouvement brownien Description of subject: Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.