Brown measure of R-diagonal operators, revisited

2022/04/04 by Zhong, Ping
#FOS: Mathematics #Operator Algebras (math.OA) #Probability (math.PR)

paper · doi:10.48550/arxiv.2204.01896

Abstract

We use subordination functions perspective to reformulate Haagerup--Schultz's approach for the Brown measure of R-diagonal operators. This allows us to simplify the original argument and find a connection with the other approach due to Belinschi-Śniady-Speicher. The Brown measure formula can be rewritten in terms of subordination functions.

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