Persistent homology, the flagship method of topological data analysis (TDA), can be used to provide a quantitative summary of the shape of data. There is now extensive work using the following ...
This book offers a fun and enriching introduction to chaos theory, fractals and dynamical systems, and on the applications of fractals to computer generated graphics and image compression.
Article Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to ...
This code repository and all listed files are the ownership of Dr. Aleksandar Haber. Dr. Aleksandar Haber is referred to as the Author in the sequel. All the files on this repository, including all ...
In this tutorial, we will look at some basic theory of random dynamical systems, defined by non-linear stochastic differential equations with an underlying graph structure. The concrete application I ...
Abstract: Educational advantages and disadvantages of dynamical analogy and block-diagram models for interdisciplinary systems are discussed. If the system equations are known, a block-diagram is a ...
How do communities self-organize to manage a changing environment? Answering this requires addressing the emergence of shared, context-dependent criteria for “cooperativeness.” Existing game-theoretic ...
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