3 papers
math.SP2026
Capacity and measure approximations for Schrödinger operators
Burak Hatinoğlu, Svetlana Jitomirskaya
We prove that logarithmic capacity convergence for phase-union spectra of quasi-periodic Schrödinger operators in the zero Lyapunov exponent regime is robust, requiring only contin…
math.SP2024
Spectral bounds for ergodic Jacobi operators
Burak Hatinoğlu
We consider ergodic Jacobi operators and obtain estimates on the Lebesgue measure and the distance between maximum and minimum points of the spectrum in terms of the Lyapunov expon…
math.SP2023
Spectral bounds for periodic Jacobi matrices
Burak Hatinoğlu
We consider periodic Jacobi operators and obtain upper and lower estimates on the sizes of the spectral bands. Our proofs are based on estimates on the logarithmic capacities and c…