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Multifractality for Intermediate Quantum Systems
Acta Physica Polonica A, 2023 While quantum multifractality has been widely studied in the physics literature and is by now well understood from the point of view of physics, there is little work on this subject in the mathematical literature. I will report on a proof of multifractal scaling laws for arithmetic uSeba billiards.
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Exact relations between multifractal exponents at the Anderson transition [PDF]
, 2006 Two exact relations between mutlifractal exponents are shown to hold at the critical point of the Anderson localization transition. The first relation implies a symmetry of the multifractal spectrum linking the multifractal exponents with indices $q1/2$.
A. D. Mirlin +5 more
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Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh
Fractal and Fractional, 2023 Multifractal detrended fluctuation analysis (DFA) can extract multi-scaling behavior and measure long-range correlations in climatic time series. In this study, with the help of multifractal DFA, we investigated the scaling behavior of daily minimum ...
Anxin Liu +3 more
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Modelo Multifractal Aplicado al Riego
Revista de Matemática: Teoría y Aplicaciones, 2012 We define the binomial multifractal distribution as an expression of a law of small numbers. We studied a form of evaluation or design of a distribution system in an irrigation district by determining its conduction capacity with the desired flexibility ...
José Roberto Mercado Escalante +3 more
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Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems [PDF]
Physical Review Letters, 1998 12 pages, TeX, 4 ps ...
Lyra, M. L., Tsallis, C.
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Expecting the Unexpected: Entropy and Multifractal Systems in Finance
Entropy, 2023 Entropy serves as a measure of chaos in systems by representing the average rate of information loss about a phase point’s position on the attractor. When dealing with a multifractal system, a single exponent cannot fully describe its dynamics, necessitating a continuous spectrum of exponents, known as the singularity spectrum. From an investor’s point
Giuseppe Orlando, Marek Lampart
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IEEE Access, 2020 Power-grid faults pose a great threat to the economy and to social stability. In this paper, the detrended fluctuation analysis method is used to investigate the scaling properties of power grid faults and the correlation between faults and ...
Tejun Zhou +3 more
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Stability Analysis of the Left Bank Slope of Baihetan Hydropower Station Based on the MF-DFA Method
Advances in Civil Engineering, 2020 Based on the left bank slope of Baihetan hydropower station in Southwestern China, a high-precision microseismic monitoring system was established. An early warning model of surrounding rock mass deformation and failure based on MF-DFA was proposed.
Haoyu Mao, Min Zhang, Biao Li, Nuwen Xu
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Research on Anisotropic Characteristics of Rock and Intelligent Recognition of Precursory Signal
Advances in Civil Engineering, 2020 In order to study the change in anisotropic characteristics of rock materials during the uniaxial compression process, an advanced ultrasonic experimental device and loading device are used to establish an experimental system for measuring ultrasonic ...
Nan Li +5 more
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Multifractal wave functions of simple quantum maps [PDF]
, 2010 We study numerically multifractal properties of two models of one-dimensional quantum maps, a map with pseudointegrable dynamics and intermediate spectral statistics, and a map with an Anderson-like transition recently implemented with cold atoms.
A. Arneodo +5 more
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