Toeplitz Operators and Random Matrices

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. - Openness of Regular Regimes of Complex Random Matrix Models. - Focusing Nonlocal Nonlinear Schrödinger Equation with Asymmetric Boundary Conditions: Large-Time Behavior. - Algebras of Commuting Differential Operators for 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 Szeg o Theorem on a Jordan Curve. - Toeplitz Operators with Non-trivial Kernels and Non-dense Ranges on Weak Hardy Spaces. - Rényi 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 ß-Ensembles. - On the Limit of Some Variable-Coefficient Toeplitz-Like Determinants. - On Diagonalizable Quantum Weighted Hankel Matrices. - On the Product Formula for Toeplitz and Related Operators.