| Date: | January 22, 2019 |
| Time: | 3:00pm |
| Location: | BLOC 628 |
| Speaker: | Amudhan Krishnaswamy-Usha, Texas A&M University |
| Title: | The Hermitization and Linearization tricks to compute Brown measure for certain non-normal operators |
| Abstract: | The Brown measure (an analogue of the spectral distribution measure) for a class of non-normal operators can be computed using what are known as the Hermitization and Linearization methods. I will present an overview of this, based on work by Belinschi, Sniady, and Speicher. In particular, this will lead to a proof of the Haagerup-Larsen Single Ring Theorem for R-diagonal operators. If time permits, I will talk about how this can be used to compute the eigenvector correlators (a measure of the angle between left and right eigenvectors for non-normal matrices), based on work by Belinschi, Nowak, Speicher, and Tarnowski. |
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| Date: | January 29, 2019 |
| Time: | 3:00pm |
| Location: | BLOC 628 |
| Speaker: | Amudhan Krishnaswamy-Usha, Texas A&M University |
| Title: | More on linearization |
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| Date: | February 12, 2019 |
| Time: | 3:00pm |
| Location: | BLOC 628 |
| Speaker: | Michael Anshelevich, TAMU |
| Title: | Higher variations for free Lévy processes |
| Abstract: | Starting with a free Lévy process, we will discuss the existence of its higher variation processes, as limits in distribution and in probability. Several open questions will also be considered. This work is joint with Zhichao Wang. |
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