4 papers · 1 filter
Perron-Frobenius spectrum for random maps and its approximation
Michael Blank
To study the convergence to equilibrium in random maps we developed the spectral theory of the corresponding transfer (Perron-Frobenius) operators acting in a certain Banach space…
Dynamics of traffic jams: order and chaos
Michael Blank
By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on…
Asymptotically exact spectral estimates for left triangular matrices
Michael Blank
For a family of left triangular matrices with binary entries we derive asymptotically exact (as ) representation for the complete eigenvalues-eigenvectors problem…
Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.)
Michael Blank
By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows…