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Fractal measures and their singularities: The characterization of strange sets
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This article is published in Physical Review D.The article was published on 1986-01-01. It has received 2510 citations till now. The article focuses on the topics: Fractal & Multifractal system.read more
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Pattern formation outside of equilibrium
Michael Cross,P. C. Hohenberg +1 more
TL;DR: A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented in this article, with emphasis on comparisons between theory and quantitative experiments, and a classification of patterns in terms of the characteristic wave vector q 0 and frequency ω 0 of the instability.
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Empirical properties of asset returns: stylized facts and statistical issues
TL;DR: In this paper, the authors present a set of stylized empirical facts emerging from the statistical analysis of price variations in various types of financial markets, including distributional properties, tail properties and extreme fluctuations, pathwise regularity, linear and nonlinear dependence of returns in time and across stocks.
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Physics of liquid jets
Jens Eggers,Emmanuel Villermaux +1 more
TL;DR: A review of the fundamental and technological aspects of these subjects can be found in this article, where the focus is mainly on surface tension effects, which result from the cohesive properties of liquids Paradoxically, cohesive forces promote the breakup of jets, widely encountered in nature, technology and basic science.
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Scale issues in hydrological modelling: A review
TL;DR: A framework is provided for scaling and scale issues in hydrology and a more holistic perspective dealing with dimensional analysis and similarity concepts is addressed, which deals with complex processes in a much simpler fashion.
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Anderson Transitions
TL;DR: In this paper, the physics of Anderson transition between localized and metallic phases in disordered systems is reviewed, including both metal-insulator transitions and quantum-Hall-type transitions between phases with localized states.