For any given animal, the sources of mechanical disturbances inducing tissue deformation
define environment from the perspective of the animal's haptic perceptual system. The …

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 …

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 …

In disordered systems, wave functions in the Schrödinger equation may exhibit a transition
from the extended phase to the localized phase, in which the states at the boundaries or …

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 …

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 …

Uncorrelated disorder in generalized three-dimensional Lieb models gives rise to the
existence of bounded mobility edges, destroys the macroscopic degeneracy of the flat …

The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the
three-dimensional Anderson model of localization is characterized by its associated …

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 …