2 papers
math.SP2026
Spectral and dynamical results related to certain non-integer base expansions on the unit interval
Horia D. Cornean, Ira W. Herbst, Giovanna Marcelli
We consider certain non-integer base -expansions of Parry's type and we study various properties of the transfer (Perron-Frobenius) operator $\mathcal{P}:L^p([0,1])\mapsto L^p(…
math-ph2024
On the self-consistent Landauer-Büttiker formalism
Horia D. Cornean, Giovanna Marcelli
We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-e…