It has been customary in the last few decades to employ stochastic models to represent
complex data sets encountered in geophysics, particularly in hydrology. This article reviews …

In this study, we attempt to offer a solid physical basis for the deterministic fractal–multifractal
(FM) approach in geophysics (Puente, Phys Let A 161: 441–447, 1992; J Hydrol 187: 65–80 …

A deterministic geometric procedure, yielding a multitude of interesting patterns as
projections of simple multifractal measures supported by the graphs of fractal interpolating …

Complex geometries often present in hydrologic data sets such as precipitation records
have been difficult to model in their totality using classical stochastic methods. In recent …

Abstract Characterization of the processes associated with riverbank erosion is crucial for
predicting bankline retreatment and river-form migration. The present study examined the …

We present the application of a deterministic fractal geometric approach—the so-called
fractal-multifractal procedure, FMFP—to the modeling of hydrologic data at different …

Hydrologic data sets such as precipitation records typically feature complex geometries that
are difficult to represent as a whole using classical stochastic methods. In recent years, we …

Use of a deterministic fractal-multifractal (FM) geometric method to model width functions of
natural river networks, as derived distributions of simple multifractal measures via fractal …

We present the extension of a deterministic fractal geometric procedure aimed at
representing the complexity of patterns encountered in environmental applications. The …

This study introduces the deterministic fractal-multifractal (FM) approach and some of its
variants for encoding, for the first time, streamflow data. For this purpose, daily streamflow …