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Seminar on Free Probability and Random Matrices
 
15:30 - 16:30, February 20, 2023 (Monday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
The Infinitesimal Distribution of Anticommutators and Commutators
Pei-Lun Tseng (NYU Abu Dhabi)

Abstract

Let XN be a GUE ensemble and YN be a finite rank constant matrix. Following the work by Sklyakhtenko (2018), it is known that XN and Yare asymptotically infinitesimally free. We will present simple formulas for the limit infinitesimal law of XY+YX and i (XY-YX) where X and Y are asymptotically free following the limit infinitesimal law of XN and YN respectively. This is joint work with Jamie Mingo.
 
Meeting number (access code): 2513 723 6765
Meeting password: DjApzpEW935


 

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