Madame Tracy and Widom (Craig Tracy and Harold Widom)
E898470
eigenvalue distribution
limiting distribution
mathematical physicist
person
probability distribution
Craig Tracy and Harold Widom are mathematical physicists best known for their foundational work on random matrix theory, including the Tracy–Widom distribution that describes the statistics of extreme eigenvalues.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Madame Tracy and Widom (Craig Tracy and Harold Widom) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10991230 — 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: Madame Tracy and Widom (Craig Tracy and Harold Widom) Context triple: [random matrix theory, developedBy, Madame Tracy and Widom (Craig Tracy and Harold Widom)]
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A.
Erdman Penner
Erdman Penner was a Canadian-born screenwriter and story artist best known for his work on classic Walt Disney animated films in the mid-20th century.
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B.
C. R. Hagen
C. R. Hagen is a theoretical physicist known for his contributions to particle physics and gauge theories, including work related to the Higgs mechanism.
-
C.
Nigel Goldenfeld
Nigel Goldenfeld is a theoretical physicist known for his influential work in statistical physics, complex systems, and fluid dynamics.
-
D.
David P. Landau
David P. Landau is a physicist renowned for his pioneering work in computational statistical physics and Monte Carlo simulations of phase transitions and critical phenomena.
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E.
Sidney I. Resnick
Sidney I. Resnick is an American mathematician and probability theorist known for his work on extreme value theory, heavy-tailed distributions, and stochastic processes.
- 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: Madame Tracy and Widom (Craig Tracy and Harold Widom) Target entity description: Craig Tracy and Harold Widom are mathematical physicists best known for their foundational work on random matrix theory, including the Tracy–Widom distribution that describes the statistics of extreme eigenvalues.
-
A.
Erdman Penner
Erdman Penner was a Canadian-born screenwriter and story artist best known for his work on classic Walt Disney animated films in the mid-20th century.
-
B.
C. R. Hagen
C. R. Hagen is a theoretical physicist known for his contributions to particle physics and gauge theories, including work related to the Higgs mechanism.
-
C.
Nigel Goldenfeld
Nigel Goldenfeld is a theoretical physicist known for his influential work in statistical physics, complex systems, and fluid dynamics.
-
D.
David P. Landau
David P. Landau is a physicist renowned for his pioneering work in computational statistical physics and Monte Carlo simulations of phase transitions and critical phenomena.
-
E.
Sidney I. Resnick
Sidney I. Resnick is an American mathematician and probability theorist known for his work on extreme value theory, heavy-tailed distributions, and stochastic processes.
- F. None of above. chosen
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
eigenvalue distribution
ⓘ
limiting distribution ⓘ mathematical physicist ⓘ mathematical physicist ⓘ person ⓘ person ⓘ probability distribution ⓘ |
| appliesTo |
Gaussian Orthogonal Ensemble
NERFINISHED
ⓘ
Gaussian Symplectic Ensemble NERFINISHED ⓘ Gaussian Unitary Ensemble NERFINISHED ⓘ |
| coAuthorWith |
Craig Tracy
NERFINISHED
ⓘ
Harold Widom NERFINISHED ⓘ |
| countryOfCitizenship |
United States of America
ⓘ
United States of America ⓘ |
| describes | statistics of extreme eigenvalues of random matrices ⓘ |
| fieldOfWork |
mathematical physics
ⓘ
mathematical physics ⓘ probability theory ⓘ probability theory ⓘ random matrix theory ⓘ random matrix theory ⓘ |
| hasResearchArea |
integrable systems
ⓘ
integrable systems ⓘ operator theory ⓘ operator theory ⓘ |
| knownFor |
Tracy–Widom distribution
NERFINISHED
ⓘ
Tracy–Widom distribution NERFINISHED ⓘ random matrix theory ⓘ random matrix theory ⓘ |
| namedAfter |
Craig Tracy
NERFINISHED
ⓘ
Harold Widom NERFINISHED ⓘ |
| notableWork |
Tracy–Widom distribution
NERFINISHED
ⓘ
Tracy–Widom distribution NERFINISHED ⓘ |
| relatedTo |
edge scaling limit in random matrix theory
ⓘ
extreme value statistics ⓘ largest eigenvalue of random matrices ⓘ |
| usedIn |
combinatorics
ⓘ
growth processes ⓘ last passage percolation ⓘ longest increasing subsequence problems ⓘ probability theory ⓘ random matrix theory ⓘ statistical physics ⓘ |
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: Madame Tracy and Widom (Craig Tracy and Harold Widom) Description of subject: Craig Tracy and Harold Widom are mathematical physicists best known for their foundational work on random matrix theory, including the Tracy–Widom distribution that describes the statistics of extreme eigenvalues.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.