One characteristic trait of space plasmas is the multi-scale dynamics resulting from non-
linear transfers and conversions of various forms of energy. Routinely evidenced in a range …

We describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …

We propose a generalization of multifractal analysis that is applicable to the critical regime of
the Anderson localization-delocalization transition. The approach reveals that the behavior …

In this paper we present a thorough study of transport, spectral, and wave-function
properties at the Anderson localization critical point in spatial dimensions d= 3, 4, 5, 6. Our …

We study the single-particle properties of two-dimensional quasicrystals where the
underlying geometry of the tight-binding lattice is crystalline but the on-site potential is …

We demonstrate that an image recognition algorithm based on a convolutional neural
network provides a powerful procedure to differentiate between ergodic, nonergodic …

Multifractals arise in various systems across nature whose scaling behavior is characterized
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …

The probability density function (PDF) for critical wave function amplitudes is studied in the
three-dimensional Anderson model. We present a formal expression between the PDF and …

For the 2D matrix Langevin dynamics that correspond to the continuous-time limit of the
products of some 2× 2 random matrices, the finite-time Lyapunov exponent can be written as …

We study the multifractal behavior of coherent states projected in the energy eigenbasis of
the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective …