Modeling geophysical complexity: a case for geometric determinism
CE Puente, B Sivakumar - Hydrology and Earth System …, 2007 - hess.copernicus.org
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 …
complex data sets encountered in geophysics, particularly in hydrology. This article reviews …
A physical interpretation of the deterministic fractal–multifractal method as a realization of a generalized multiplicative cascade
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 …
(FM) approach in geophysics (Puente, Phys Let A 161: 441–447, 1992; J Hydrol 187: 65–80 …
A universe of projections: may Plato be right?
CE Puente - Chaos, Solitons & Fractals, 2004 - Elsevier
A deterministic geometric procedure, yielding a multitude of interesting patterns as
projections of simple multifractal measures supported by the graphs of fractal interpolating …
projections of simple multifractal measures supported by the graphs of fractal interpolating …
Geometric harnessing of precipitation records: reexamining four storms from Iowa City
HH Huang, CE Puente, A Cortis - Stochastic Environmental Research and …, 2013 - Springer
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 …
have been difficult to model in their totality using classical stochastic methods. In recent …
Does turbulence show fractal structure within a dynamic undercut of an alluvial riverbank?
Abstract Characterization of the processes associated with riverbank erosion is crucial for
predicting bankline retreatment and river-form migration. The present study examined the …
predicting bankline retreatment and river-form migration. The present study examined the …
[HTML][HTML] Encoding hydrologic information via a fractal geometric approach and its extensions
A Cortis, CE Puente, B Sivakumar - Stochastic environmental research …, 2010 - Springer
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 …
fractal-multifractal procedure, FMFP—to the modeling of hydrologic data at different …
An effective inversion strategy for fractal–multifractal encoding of a storm in Boston
HH Huang, CE Puente, A Cortis, JLF Martínez - Journal of hydrology, 2013 - Elsevier
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 …
are difficult to represent as a whole using classical stochastic methods. In recent years, we …
A deterministic width function model
CE Puente, B Sivakumar - Nonlinear Processes in Geophysics, 2003 - npg.copernicus.org
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 …
natural river networks, as derived distributions of simple multifractal measures via fractal …
Nonlinear extensions of a fractal–multifractal approach for environmental modeling
A Cortis, CE Puente, B Sivakumar - Stochastic Environmental Research …, 2009 - Springer
We present the extension of a deterministic fractal geometric procedure aimed at
representing the complexity of patterns encountered in environmental applications. The …
representing the complexity of patterns encountered in environmental applications. The …
A comparison of fractal-multifractal techniques for encoding streamflow records
ML Maskey, CE Puente, B Sivakumar - Journal of Hydrology, 2016 - Elsevier
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 …
variants for encoding, for the first time, streamflow data. For this purpose, daily streamflow …