Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

Science is not merely the smooth progressive interaction of hypothesis, experiment and
theory, although it sometimes has that form. More realistically the scientific study of any …

Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

The stability of a simple dynamical system subject to multiplicative one-side pulse noise with
hidden periodicity is investigated both analytically and numerically. The stability analysis is …

We study the time series produced by blinking quantum dots, by means of an aging
experiment, and we examine the results of this experiment in the light of two distinct …

We study the power spectrum of a random telegraphic noise with the distribution density of
waiting times τ given by ψ (τ)∝ 1∕ τ μ⁠, with μ≈ 2⁠. The condition μ< 2 violates the …

A two-state, master equation-based decision-making model has been shown to generate
phase transitions, to be topologically complex, and to manifest temporal complexity through …

We show that the dynamic approach to fractional Brownian motion (FBM) establishes a link
between a non-Poisson renewal process with abrupt jumps resetting to zero the system's …

We study a two-state statistical process with a non-Poisson distribution of sojourn times. In
accordance with earlier work, we find that this process is characterized by aging and we …

We study the linear response of a two-state stochastic process, obeying the renewal
condition, by means of a stochastic rate equation equivalent to a master equation with …