88 citations · 561 across the 32 of their papers we have counts for
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Nonergodicity of -dimensional generalized Lévy walks and their relation to other space-time coupled models
Tony Albers, Günter Radons
We investigate the nonergodicity of the generalized Lévy walk introduced by Shlesinger et al. [Phys. Rev. Lett. 58, 1100 (1987)] with respect to the squared displacements. We prese…
Anti-persistent random walks in time-delayed systems
Tony Albers, David Müller-Bender, Günter Radons
We show that the occurrence of chaotic diffusion in a typical class of time-delayed systems with linear instantaneous and nonlinear delayed term can be well described by an anti-pe…
Infinite ergodic theory for three heterogeneous stochastic models with application to subrecoil laser cooling
Takuma Akimoto, Eli Barkai, Günter Radons
We compare ergodic properties of the kinetic energy for three stochastic models of subrecoil-laser-cooled gases. One model is based on a heterogeneous random walk (HRW), another is…
Gas of sub-recoiled laser cooled atoms described by infinite ergodic theory
Eli Barkai, Günter Radons, Takuma Akimoto
The velocity distribution of a classical gas of atoms in thermal equilibrium is the normal Maxwell distribution. It is well known that for sub-recoiled laser cooled atoms Lévy stat…
Transitions in the ergodicity of subrecoil-laser-cooled gases
Eli Barkai, Günter Radons, Takuma Akimoto
With subrecoil-laser-cooled atoms one may reach nano-Kelvin temperatures while the ergodic properties of these systems do not follow usual statistical laws. Instead, due to an inge…
Infinite invariant density in a semi-Markov process with continuous state variables
Takuma Akimoto, Eli Barkai, Günter Radons
We report on a fundamental role of a non-normalized formal steady state, i.e., an infinite invariant density, in a semi-Markov process where the state is determined by the inter-ev…