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Operator Algebras, Random Matrices, and Probability Theory Lab (Benoit Collins)
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A lab that studies random matrix theory and its applications.
AboutAbout the lab
Finding laws in random matrices.
The Collins Lab mainly studies random matrix theory and its applications.
The lab also pursues research out of interest in free probability, quantum information theory, operator algebras, and quantum group theory.
Key terms
- Random matrix
- A matrix whose entries are chosen at random. As the matrix grows large, regular patterns appear in quantities such as its eigenvalues
- Free probability
- A theory that treats quantities whose products depend on the order of multiplication (noncommutative quantities) like random variables
- Quantum information theory
- A field that studies how to represent and transmit information using the properties of quantum mechanics
ResearchResearch themes
The lab studies random matrix theory and its applications. It also works on free probability, quantum information theory, operator algebras, and quantum group theory.
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MembersFaculty
- ProfessorCOLLINS Benoit
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Tracy–Widom distribution of the largest eigenvalue of Gaussian ensembles” Cosmia Nebula / CC BY-SA 4.0 (cropped)
- Random Matrices and Quantum Information: “Normalized Gaussian matrices ESD vs Wigner semicircle PDF” Itamer9 / CC0 (cropped)
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