Results 11 to 20 of about 6,248,842 (283)

Distribution theory on P.C.F. fractals [PDF]

Journal d'Analyse Mathématique, 2010
38 ...
Rogers, Luke G., Strichartz, Robert S.
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Fractal Dimension Complexity of Gravitation Fractals in Central Place Theory

Scientific Reports, 2022
Abstract Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry). It depends, among others, on the properties of the space surrounding a city.
Banaszak, Michał, Górnisiewicz, Krzysztof, Nijkamp, Peter; id_orcid 0000-0002-4068-8132, Ratajczak, Waldemar   +3 more
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A new fractal-theory-based criterion for hydrological model calibration

Hydrology and Earth System Sciences, 2021
. Fractality has been found in many areas and has been used to describe the internal features of time series. But is it possible to use fractal theory to improve the performance of hydrological models?
Z. Bai, Wu Yao, Di Ma, Yue‐Ping Xu
semanticscholar   +1 more source

Chaos‐Fractals Theories and Applications [PDF]

Mathematical Problems in Engineering, 2014
1 Software College, Northeastern University, Shenyang 110819, China 2Department of Electrical and Computer Engineering, University of Sharjah, Sharjah 27272, United Arab Emirates 3 Institute of Mathematics and Computer Sciences, Ural Federal University, Lenina 51, Ekaterinburg, Russia 4College of Physics and Optoelectronics, Taiyuan University of ...
Hai Yu, Ahmed Elwakil, Lev Ryashko, Yuncai Wang, Guanrong (Ron) Chen   +4 more
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Fractal Theory Space: Spacetime of Noninteger Dimensionality [PDF]

, 2002
We construct matter field theories in ``theory space'' that are fractal, and invariant under geometrical renormalization group (RG) transformations. We treat in detail complex scalars, and discuss issues related to fermions, chirality, and Yang-Mills ...
C.T. Hill, C.T. Hill, C.T. Hill, Christopher T. Hill, D.R. Nelson, Deepak Dhar, G.H. Wannier, H.A. Kramers, H.C. Cheng, H.C. Cheng, J. Wess, J.D. Lykken, K.R. Dienes, K.R. Dienes, L. Onsager, M.E. Fischer, N. Arkani-Hamed, N. Arkani-Hamed, N. Arkani-Hamed, P. Ramond, V. Gusynin, W.A. Bardeen, W.A. Bardeen   +22 more
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Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function [PDF]

, 2013
We survey some of the universality properties of the Riemann zeta function $\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions).
Herichi, Hafedh, Lapidus, Michel L.
core   +2 more sources

Minkowski dimension and explicit tube formulas for $p$-adic fractal strings

, 2018
The local theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a $p$-adic ...
Hùng, Lũ', Lapidus, Michel L., van Frankenhuijsen, Machiel   +2 more
core   +1 more source

Coalgebraic Representation Theory of Fractals

Electronic Notes in Theoretical Computer Science, 2010
AbstractWe develop a representation theory in which a point of a fractal specified by metric means (by a variant of an iterated function system, (IFS) is represented by a suitable equivalence class of infinite streams of symbols. The framework is categorical: symbolic representatives carry a final coalgebra; an IFS-like metric specification of a ...
Hasuo, I., Jacobs, B., Jacobs, B., Niqui, M.   +3 more
openaire   +2 more sources

Relationship Between Pore-Size Distribution and 1D Compressibility of Different Reconstituted Clays Based on Fractal Theory

Fractal and Fractional
This paper first examines the evolution of pore-size distribution (PSD) in four types of reconstituted clays during one-dimensional (1D) compression, utilising mercury intrusion porosimetry.
Yanhao Zheng, Tanfang Zhu, Junqi Chen, Kun Shan, Junru Li   +4 more
semanticscholar   +1 more source

Research on Strength Prediction Model of Sand-like Material Based on Nuclear Magnetic Resonance and Fractal Theory

Applied Sciences, 2020
Micro-pore structure has a decisive effect on the physical and mechanical properties of porous materials. To further improve the composition of rock-like materials, the internal relationship between microscopic characteristics (porosity, pore size ...
Hongwei Deng, Guanglin Tian, Songtao Yu, Zhen Jiang, Z. Zhong, Yanan Zhang   +5 more
semanticscholar   +1 more source