18.338J | Fall 2004 | Graduate

Infinite Random Matrix Theory

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Drawing of a non-crossing partition and a crossing partition.
Caption:
The power of infinite random matrix theory comes from being able to systematically identify and work with non-crossing partitions (as depicted on the left). The figure on the right depicts a crossing partition which becomes important when trying to understand the higher order terms which infinite random matrix theory cannot predict. (Figure by Prof. Alan Edleman.)
Drawing of a non-crossing partition and a crossing partition.