The discovery of the Hat, an aperiodic monotile, has revealed novel mathematical aspects of
aperiodic tilings. However, the physics of particles propagating in such a setting remains …

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 efficient preconditioning algorithms for an eigenvalue problem arising in
quantum physics, namely, the computation of a few interior eigenvalues and their associated …

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 …

Scanning tunneling spectroscopy at T= 6 K is used to investigate the local density of states
(LDOS) of electron systems belonging to the bulk conduction band of InAs. In particular, the …

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 …

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 examine the localization properties of the 2D Anderson Hamiltonian with off-diagonal
disorder. Investigating the behavior of the participation numbers of eigenstates as well as …

We study the multifractal analysis (MFA) of electronic wave functions at the localization-
delocalization transition in the three-dimensional Anderson model for very large system …

Electronic Cardiogram (ECG) data taken from healthy adult subjects are found to
characterize multifractality. In order to quantitatively analyze multifractal spectrum, the area …