4 citations · 6 across the 4 of their papers we have counts for
4 papers
Discrete nonlinear Fourier transforms and their inverses
Pavle Saksida
We study two discretisations of the nonlinear Fourier transform of AKNS-ZS type, and . Transformation is suitable for studying the distributio…
Nonlinear Fourier transform and probability distributions
Pavle Saksida
The paper describes some probabilistic and combinatorial aspects of the nonlinear Fourier transform associated with the AKNS-ZS problems. In the first of the two main results, we s…
On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics
Pavle Saksida, Tomaz Prosen
Rigorous lower bound on the time-average of the autocorrelation function of an arbitrary L^1 observable is proven in terms of conserved quantities and ergodic decompositions of the…
On the Generalized Maxwell-Bloch Equations
Pavle Saksida
A new Hamiltonian structure of the Maxwell-Bloch equations is described. In this setting the Maxwell-Bloch equations appear as a member of a family of generalized Maxwell-Bloch sys…