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Chin Lab
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A lab that uses probability theory to study the properties of matrices and shapes generated by chance.
AboutAbout the lab
Investigating the regularity hidden in randomness
The Chin Lab studies probability theory and its applications.
In particular, the lab works on random matrix theory, which investigates the properties of matrices whose entries are determined randomly, and random topology, which investigates the properties of randomly constructed shapes.
In the lab seminar, members also deal with the structure of random graphs and with point processes, in which points are scattered at random.
Key terms
- Random matrix theory
- A theory that uses probability theory to investigate what properties matrices with randomly determined entries have
- Random topology
- A field that uses probability theory to investigate the properties of the shapes formed by randomly selecting points and edges
- Point process
- A mathematical model that describes phenomena in which points occur at random locations or times
ResearchResearch themes
The lab studies probability theory and its applications. In particular, it works on random matrix theory, which investigates the properties of randomly determined matrices, and random topology, which investigates the properties of randomly constructed shapes.
*Illustrative imageRandom matrix theory
The lab investigates matrices whose entries are determined randomly, using methods from probability theory. Adjacency matrices of random graphs are also included among its objects of study.
*Illustrative imageRandom topology
This research uses probability theory to investigate the properties of the shapes (such as simplicial complexes) formed by randomly selecting points and edges.
MembersFaculty
The members of the Chin Lab consist of faculty and graduate and undergraduate students.
- Professor (Fixed-term)TRINH Khanh Duy
VoicesStudent voices
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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: “ESD of normalized Gaussian matrix size 1500x1500” Itamer9 / CC0 (cropped)
- Random matrix theory: “Tracy–Widom distribution of the largest eigenvalue of Gaussian ensembles” Cosmia Nebula / CC BY-SA 4.0 (cropped)
- Random topology: “Emmental (fromage) 01” Coyau / CC BY-SA 3.0 (cropped)
- Related lab (Bowen Lab): “Diesel fuel on wet asphalt mj1” Mariojan photo / CC BY 4.0 (cropped)
- Related lab (Ohnita Lab): “Quaternion 4D x0,25 y0,5 z” PantheraLeo1359531 / CC BY-SA 4.0 (cropped)
- Related lab (Kumagai Lab): “Mandelbrot Set Image 112” Aokoroko / CC0 (cropped)
- Related lab (Toyoizumi Lab): “SocialNetworkAnalysis” Martin Grandjean / CC BY-SA 4.0 (cropped)
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