» The strong convergence phenomenon
02/07/25 09:00 from math.SP updates on arXiv.org
arXiv:2507.00346v1 Announce Type: cross Abstract: In a seminal 2005 paper, Haagerup and Thorbj{\o}rnsen discovered that the norm of any noncommutative polynomial of independent complex Gaussian random matrices converges to that of a limi...

» On quasi-isospectral potentials
02/07/25 09:00 from math.SP updates on arXiv.org
arXiv:2202.06110v2 Announce Type: replace Abstract: In this article, we work with quasi-isospectral operators as a generalization of isospectral operators. We begin by reviewing some known results about isospectral potentials on compact ...

» Linear dynamics of random products of operators
02/07/25 09:00 from math.FA updates on arXiv.org
arXiv:2507.00186v1 Announce Type: new Abstract: We study the linear dynamics of the random sequence $(T_n(.))_{n \geq 1}$ of the operators $T_n(\omega) = T(\tau^{n-1}\omega) \dotsm T(\tau \omega) T(\omega), n \geq 1$. These products depe...

» Applications of rational difference equations to spectral graph theory: expanded version
02/07/25 09:00 from math.SP updates on arXiv.org
arXiv:2009.01648v3 Announce Type: replace-cross Abstract: We study a general class of recurrence relations that appear in the application of a matrix diagonalization procedure. We find general closed formula and determine analytical prop...

» Quantum Expanders and Quantifier Reduction for Tracial von Neumann Algebras
02/07/25 09:00 from math.OA updates on arXiv.org
arXiv:2310.06197v2 Announce Type: replace Abstract: We provide a complete characterization of theories of tracial von Neumann algebras that admit quantifier elimination. We also show that the theory of a separable tracial von Neumann alg...

» Discretization of Continuous Frames by Quasi-Monte Carlo Methods
02/07/25 09:00 from math.FA updates on arXiv.org
arXiv:2507.00618v1 Announce Type: new Abstract: We introduce a discretization scheme for continuous localized frames using quasi-Monte Carlo integration and discrepancy theory. By generalizing classical concepts, we define a discrepancy ...

» A Simple Proof of Nehari's Theorem Based on Duality
02/07/25 09:00 from math.FA updates on arXiv.org
arXiv:2507.00624v1 Announce Type: new Abstract: In this technical note we provide a simple proof of Nehari's theorem on the optimal approximation by $H_\infty$ functions, based on convex duality.