The evolution of some papers of Bernard and Hruza in the context of “Quantum Symmetric Simple Exclusion Process” (QSSEP) have been addressed before in some posts, here and here. Now there is a new version of the latest preprint, with the more precise title “Structured random matrices and cyclic cumulants : A free probability approach“. I think the connection of the considered class of random matrices with our free probability tools (in particular, the operator-valued ones) is getting nicer and nicer. One of the new additions in this version is the proof that applying non-linear functions entry ..read more

Voiculescu’s online seminar on probabilistic operator algebra is running again, for the spring term, but now with a different time; it’s not on Mondays anymore, but on Tuesdays. For more info and details about the upcoming talks, see here. In particular, to get the zoom links for the talks, one should write to Jorge (jgarzav_at_caltech_dot_edu). Actually, the next talk, on January 30 at 10:30 a.m. Pacific time (which is 7:30 p.m. German time), will be given by myself. It will be on Bi-free probability and reflection positivity and is based on my small note on the arXiv. Most of the talk will b ..read more

In the recent post of a similar title I mentioned some papers which related physics problems (eigenstate thermalization hypothesis or Open Quantum SSEP) with free probability. Let me point out that the title of the preprint by Hruza and Bernard has been changed to “Coherent Fluctuations in Noisy Mesoscopic Systems, the Open Quantum SSEP and Free Probability” and that there are some new and follow up preprints in this directions, namely “Spectrum of subblocks of structured random matrices: A free probability approach“, by Bernard and Hruza, and also “Designs via free probability“, by Fava, Kurc ..read more

One of the weekly highlights during my times at Queens was the joint seminar with Jamie Mingo on free probability and random matrices. This seminar was of course going on after I left Queen’s, and I also installed different versions of that seminar in Saarbrucken, but at least for me it did not feel the same anymore. So I am happy that we decided now to join forces again and revive our joint seminar in online form. For now it is running on Thursdays at 10 am Eastern time, which is 4 pm German time. You can find the program on the seminar page. If you are interested, write to Jamie to be put on ..read more

The next Wales MPPM Zoom Seminar will given by Moritz Weber (Saarland) on Tuesday, 23rd November at 4.30 pm UK time and UTC. The title and abstract are: Easy quantum groups and quantum permutations Within Woronowicz’s framework of compact quantum groups, there are natural quantum analogs of the symmetric group, the orthogonal group and the unitary group, amongst others. They have in common that their representation theory may be expressed in terms of diagrams. This has been systematically formalized by Banica and Speicher in 2009 within the class of so called “easy” qu ..read more

There will be an ACPMS mini-workshop on Friday, November 5, 15:00-19:30 (Oslo time) organised by Octavio Arizmendi Echegaray (CIMAT, Guanajuato, Mexico) and Kurusch Ebrahimi-Fard (NTNU Trondheim, Norway). This will be on topolocial recursion and combinatorics, with special emphasis also on the relation with various generalizations of free probability theory. Title: Topological Recursion and Combinatorics Topological recursion is a method of finding formulas for an infinite sequence of series or n-forms by means of describing them in a recursive way in terms of gen ..read more

Update: If you want to hear more about this, there will actually be an online talk by Guillaume and Octavio on our paper, on Monday, September 13, in the UC Berkeley Probabilistic Operator Algebra Seminar. Assume I have two symmetric matrices X and Y and I tell you the eigenvalues, counted with multiplicity, of each of them. Then I apply a polynomial P (which is also known to you) to those matrices and ask you to guess the size of the kernel of P(X,Y). If your guess is smaller than the actual size, the Queen of Hearts will pay out your guess in gold; otherwise, if your guess is too large, off ..read more