We introduce and discuss the notion of monotonicity for the complexity measures of general
probability distributions, patterned after the resource theory of quantum entanglement. Then …

We discuss some properties of the generalized entropies, called Rényi entropies, and their
application to the case of continuous distributions. In particular, it is shown that these …

A two-parameter family of complexity measures C ̃ (α, β) based on the Rényi entropies is
introduced and characterized by a detailed study of its mathematical properties. This family …

The three canonical families of the hypergeometric orthogonal polynomials in a continuous
real variable (Hermite, Laguerre, and Jacobi) control the physical wavefunctions of the …

In this work we find that not only the Heisenberg-like uncertainty products and the Rényi-
entropy-based uncertainty sum have the same first-order values for all the quantum states of …

In this work, we explore the (inequality-type) properties of the monotone complexity-like
measures of the internal complexity (disorder) of multidimensional non-relativistic electron …

In this work, the one-parameter Fisher–Rényi measure of complexity for general d-
dimensional probability distributions is introduced and its main analytic properties are …

Complexity of two-level systems, eg spins, qubits, magnetic moments etc, are analysed
based on the so-called correlational entropy in the case of pure quantum systems and the …

Based on the spectral statistics obtained in numerical simulations on three-dimensional
disordered systems within the tight-binding approximation, a new superuniversal scaling …

The Jacobi polynomials conform the canonical family of hypergeometric orthogonal
polynomials (HOPs) with the two‐parameter weight function on the interval. The spreading …