136 citations · 1.4k across the 71 of their papers we have counts for
71 papers
Interaction renormalization and the plasma staircase
Alexander V. Milovanov, Alexander Iomin, Jens Juul Rasmussen
We resolve an existing question concerning dynamical and structural stability of the E {\times} B staircases in magnetically confined fusion plasma. The problem has stirred conside…
Anomalous diffusion in porous fractal media
Alexander Iomin, Trifce Sandev
We suggest a model of a diffusive process inside a fractal sponge structure, which is a generalization of the diffusion processes on a comb and fractal mesh structure. The sponge m…
Turbulence spreading and anomalous diffusion on combs
Alexander V. Milovanov, Alexander Iomin, Jens Juul Rasmussen
This paper presents a simple model for such processes as chaos spreading or turbulence spillover into stable regions. In this simple model the essential transport occurs via inelas…
Screening and localization in the nonlinear Anderson problem
Alexander V. Milovanov, Alexander Iomin
We study the spreading dynamics of an initially localized wave packet in 1D nonlinear Schrödinger lattices with random potential. It is shown that adding small dielectric coupling…
Fractional Floquet theory
Alexander Iomin
A fractional generalization of the Floquet theorem is suggested for fractional Schrödinger equations (FTSE)s with the time-dependent periodic Hamiltonians. The obtained result, cal…
Ornstein-Uhlenbeck process and generalizations: particle's dynamics under comb constraints and stochastic resetting
Pece Trajanovski, Petar Jolakoski, Kiril Zelenkovski +3
The Ornstein-Uhlenbeck process is interpreted as Brownian motion in a harmonic potential. This Gaussian Markov process has a bounded variance and admits a stationary probability di…