52 citations · 103 across the 8 of their papers we have counts for
3 papers · 1 filter
On exact statistics and classification of ergodic systems of integer dimension
Zachary Guralnik, Cengiz Pehlevan, Gerald Guralnik
We describe classes of ergodic dynamical systems for which some statistical properties are known exactly. These systems have integer dimension, are not globally dissipative, and ar…
On the Asymptotics of the Hopf Characteristic Function
Zachary Guralnik, Cengiz Pehlevan, Gerald Guralnik
We study the asymptotic behavior of the Hopf characteristic function of fractals and chaotic dynamical systems in the limit of large argument. The small argument behavior is determ…
Remarks on Power Spectra of Chaotic Dynamical Systems
Gerald Guralnik, Zachary Guralnik, Cengiz Pehlevan
We develop novel methods to compute auto-correlation functions, or power spectral densities, for chaotic dynamical systems generated by an inverse method whose starting point is an…