3 papers
cond-mat.stat-mech2025
Spectral delineation of Markov Generators: Classical vs Quantum
Dariusz Chruściński, Sergey Denisov, Wojciech Tarnowski +1
The celebrated theorem of Perron and Frobenius implies that spectra of classical Markov operators, represented by stochastic matrices, are restricted to the unit disk. This propert…
math-ph2024
Condition numbers for real eigenvalues of real elliptic ensemble: weak non-normality at the edge
Wojciech Tarnowski
Sensitivity of an eigenvalue to the perturbation of matrix elements is controlled by the eigenvalue condition number defined as $κ_i = \sqrt{\left< L_i | L_i\right> \left< R_…
cond-mat.stat-mech2023
Non-orthogonal eigenvectors, fluctuation-dissipation relations and entropy production
Yan V. Fyodorov, Ewa Gudowska-Nowak, Maciej A. Nowak +1
Celebrated fluctuation-dissipation theorem (FDT) linking the response function to time dependent correlations of observables measured in the reference unperturbed state is one of t…