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Cumulant-Topological Approaches to Random MatricesMathematical Physics & Probability
|Speaker: ||Emily Redelmeier|
|Location: ||2112 MSB|
|Start time: ||Fri, Jun 5 2015, 3:00PM|
I will discuss topological expansions for multi-matrix expressions, considering the real, complex, and quaternionic cases. Matrix cumulants, developed by Capitaine and Casalis ('06, '07) can be thought of as vertex factors associated with a topological diagram. This approach allows expressions with several independent matrices to be computed in terms of the matrix cumulants of the individual ensembles, which are often simple quantities. I will show how this approach is useful in multi-matrix contexts such as free probability.