Toeplitz Operators and Random Matrices: In Memory of Harold Widom (Hardcover, 2022)

Part I: Harold Widom's Life, Work, and Last Paper.- Biography of Harold Widom.- Domain walls in the Heisenberg-Ising Spin-1/2 chain.- Harold Widom's Contributions to the Spectral Theory and Asymptotics of Toeplitz Operators and Matrices.- Visualizations of two functions emerging in connection with Toeplitz determinants.- Part II: Personal Notes.- A remarkable advisor, mentor, and friend.- My Encounters with Harold Widom.- Memories of Harold Widom.- Personal Reflection on Harold Widom.- Part III: Invited Contributions.- Loops in SU(2) and factorization, II.- Opennes of regular regimes of complex random matrix models.- Focusing nonlocal nonlinear Schrodinger equation with asymmetric boundary conditions: large-time behavior.- Algebras of commuting differential operators for integral kernels of Airy type.- A random walk on the Rado graph.- Widom factors and Szeg}o-Widom asymptotics, a review.- Some recent progress on the stationary measure for the open KPZ equation.- Probability of two large gaps in the bulk and at the edge of the spectrum of random matrices.- Multiplicative properties of infinite block Toeplitz and Hankel matrices.- Toeplitz and related operators on polyanalytic Fock spaces.- Strong Szego theorem on a Jordan curve.- Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces.- Renyi entropies of the free Fermi gas in multi-dimensional space at high temperature.- Spectral asymptotics for Toeplitz matrices having certain piecewise continuous symbols.- Global and local scaling limits for linear eigenvalue statistics of Jacobi β-ensembles.- On the limit of some variable-coeffcient Toeplitz-like determinants.- On diagonalizable quantum weighted Hankel matrices.- On the product formula for Toeplitz and related operators.