Interactivity is a central theme of ecological psychology. According to Gibsonian views,
behavior is the emergent property of interactions between organism and environment …

This article addresses the still popular but incorrect idea that monofractal (sometimes called
“fractal” for short) structure might be a definitive signature of nonlinearity and, as a corollary …

The creativity and emergence of biological and psychological behavior tend to be nonlinear,
and correspondingly, biological and psychological measures contain degrees of irregularity …

Biological and psychological processes routinely break ergodicity, meaning they fail to have
stable means (M ean) and independent variation over time that we might find in additive …

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet
research within this broad field is becoming increasingly mathematical. Written in a step-by …

The principle of dynamical similitude—the belief that the same behavior may be exhibited by
very different systems—allows us to use mathematical models from physics to understand …

Response time series with a non-Gaussian distribution and long-range dependent dynamics
have been reported for several cognitive tasks. Conventional monofractal analyses …

When applied to measures that are not multifractal at all, standard methods of multifractal
analysis (MFA) may produce results that make the measures appear multifractal. This is …

Ergodicity breaking is a challenge for biological and psychological sciences. Ergodicity is a
necessary condition for linear causal modeling. Long-range correlations and non …

We propose an algorithm, multifractal cross-correlation analysis (MFCCA), which constitutes
a consistent extension of the detrended cross-correlation analysis and is able to properly …