1. From eons to epochs: multifractal geological time and the compound multifractal - Poisson process
   2025/08/22 by S. Lovejoy, Andrej Spiridonov, R A Davies +2 · 1 voice · 2 citations
   Computer Science · Earth and Planetary Sciences · Economics, Econometrics and Finance · Mathematics · #Complex Systems and Time Series Analysis #Computer science #Fractal #Geochemistry and Geologic Mapping #Geology #Mathematics #Multifractal system #Poisson distribution #Poisson process #Process (computing) #Statistics #earthquake and tectonic studies
2. The Mullins–Sekerka theory: 60 years of morphological stability
   2024/08/01 by Dmitri V. Alexandrov, Peter K. Galenko, P. K. Galenko · 2 citations
   Earth and Planetary Sciences · Materials Science · Mathematics · #Boundary (topology) #Computer science #Crystallization #Crystallization and Solubility Studies #Directional solidification #Fractal #Front (military) #Geometry #Instability #Materials science #Mathematical analysis #Mathematics #Mechanics #Microstructure #Pattern formation #Phase (matter) #Physics #Planar #Solidification and crystal growth phenomena #Stability (learning theory) #Statistical physics #Stefan problem #Surface (topology) #Thermodynamics #nanoparticles nucleation surface interactions
3. Fractal scaling and the aesthetics of trees
   2024/02/21 by Jingyi Gao, Mitchell Newberry, Gao, Jingyi +1 · 3 voices
   Mathematics · Neuroscience · Psychology · #Aesthetic Perception and Analysis #Aesthetics #Art #Color perception and design #Fractal #Geometry #Mathematical analysis #Mathematics #Scaling
4. The boundary of neural network trainability is fractal
   2024/02/09 by Jascha Sohl-Dickstein, Jascha Sohl‐Dickstein, Sohl-Dickstein, Jascha · 3 voices · 8 citations
   Computer Science · Mathematics · #Artificial intelligence #Artificial neural network #Boundary (topology) #Computer science #Fractal #Mathematical analysis #Mathematics #Neural Networks and Applications
5. Fractal Calculus and its Applications
   2022/05/03 by Alireza Khalili Golmankhaneh · 1 citation
   Economics, Econometrics and Finance · Mathematics · Medicine · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Calculus (dental) #Complex Systems and Time Series Analysis #Computer science #Fractal #Mathematical analysis #Mathematics #Medicine #Orthodontics
6. Fractal geometry of the space-time difference profile in the directed landscape via construction of geodesic local times
   2022/04/04 by Shirshendu Ganguly, Lingfu Zhang, Ganguly, Shirshendu +1 · 1 citation
   Mathematics · Physics and Astronomy · #Brownian motion #FOS: Mathematics #FOS: Physical sciences #Fractal #Geodesic #Geometry #Hausdorff dimension #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Metric space #Probability (math.PR) #Pure mathematics #Scaling #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
7. Shortest Distance Between Multiple Orbits and Generalized Fractal Dimensions
   2021/03/08 by Vanessa Barros, Jérôme Rousseau · 1 citation
   Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Chaos control and synchronization #Combinatorics #Computer science #Discrete mathematics #Dynamical systems theory #Entropy (arrow of time) #Fractal #Markov chain #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Mixing (physics) #Physics #Pure mathematics #Set (abstract data type) #Statistical physics #Statistics #Substring
8. Contribution of fractal dimension theory into the uniaxial compressive strength prediction of a volcanic welded bimrock
   2020/03/26 by Elif Avşar · 1 citation
   Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · #Agglomerate #Block (permutation group theory) #Building materials and conservation #Composite material #Compressive strength #Fractal #Fractal dimension #Geology #Geometry #Geotechnical engineering #Landslides and related hazards #Materials science #Mathematical analysis #Mathematics #Mineralogy #Rock Mechanics and Modeling #Seismology #Volcanic rock #Volcano
9. The Mote in God’s i: Fourier, Fractals, and Imaginary Numbers in Tom Stoppard’s Arcadia
   2019/03/06 by Jeremy Colangelo · 1 citation
   Arts and Humanities · Social Sciences · Mathematics · Psychology · #Philosophy and History of Science #Archaeology and Rock Art Studies #Philosophy, History, and Historiography #Arcadia #The Imaginary #Fractal #Criticism #Philosophy #Epistemology #Motion (physics) #Art #Literature #Art history #Mathematics #Psychoanalysis #Computer science #Psychology #Artificial intelligence #Mathematical analysis
10. Deep Neural Network Approximation Theory
    2019/01/08 by Dennis Elbrächter, Dennis Elbrachter, Dmytro Perekrestenko +7 · 25 citations
    Computer Science · Mathematics · #Applied mathematics #Approximation error #Approximation theory #Artificial intelligence #Artificial neural network #Class (philosophy) #Combinatorics #Computer science #Deep learning #Discrete mathematics #Exponential function #Fractal #Function (biology) #Function approximation #Image and Signal Denoising Methods #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Multiplication (music) #Neural Networks and Applications #Topology (electrical circuits)
11. Reptilings and space-filling curves for acute triangles
    2017/12/11 by Marinus Gottschau, Herman Haverkort, Kilian Matzke · 1 citation
    Computer Science · Mathematics · #Algorithm #Basis (linear algebra) #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Face (sociological concept) #Fractal #Geometry #History and Theory of Mathematics #Isosceles triangle #Mathematical analysis #Mathematics #Mathematics and Applications #Order (exchange) #Sierpinski triangle #Space (punctuation) #Tree traversal
12. Hausdorff dimension of the graphs of the classical Weierstrass functions
    2017/10/11 by Weixiao Shen · 1 citation
    Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Mathematics #Hausdorff dimension #Lambda #Combinatorics #Dimension (graph theory) #Graph #Integer (computer science) #Weierstrass functions #Function (biology) #Hausdorff space #Packing dimension #Constant (computer programming) #Hausdorff measure #Discrete mathematics #Minkowski–Bouligand dimension #Fractal #Fractal dimension #Mathematical analysis
13. Stress-Dependent Electrical Contact Resistance at Fractal Rough Surfaces
    2015/05/29 by Chongpu Zhai, Dorian Hanaor, Gwénaëlle Proust +1 · 1 citation
    Engineering · Physics and Astronomy · Mathematics · #Adhesion, Friction, and Surface Interactions #Force Microscopy Techniques and Applications #Surface Roughness and Optical Measurements #Materials science #Surface roughness #Composite material #Electrical resistance and conductance #Surface finish #Profilometer #Electrical contacts #Voltage #Fractal #Polishing #Current (fluid) #Stress (linguistics) #Aluminium #Contact resistance #Electrical engineering #Mathematics
14. Fractal dimension and turbulence in Giant HII Regions
    2015/01/14 by H.E. Caicedo-Ortiz, H. E. Caicedo-Ortiz, E. Santiago-Cortés +3 · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #Astronomy #Astrophysics #Dimension (graph theory) #Dispersion (optics) #Fractal #Fractal dimension #Galaxies: Formation, Evolution, Phenomena #Galaxy #Mathematical analysis #Mathematics #Meteorology #Optics #Phase Equilibria and Thermodynamics #Physics #Stellar, planetary, and galactic studies #Turbulence #Velocity dispersion #astro-ph.GA #nlin.CD
15. Memory of jamming–multiscale models for soft and granular matter
    2014/07/31 by Nishant Kumar, Stefan Luding · 1 citation
    Engineering · Materials Science · Physics and Astronomy · #Atomic packing factor #Constitutive equation #Deformation (meteorology) #Dilatant #Fractal #Granular flow and fluidized beds #Granular material #Jamming #Material Dynamics and Properties #Pickering emulsions and particle stabilization #Simple (philosophy) #Simple shear #cond-mat.soft #physics.data-an
16. Two Scenarios for Quantum Multifractality Breakdown
    2014/02/28 by R. Dubertrand, I. García-Mata, Ignacio García-Mata +8 · 1 citation
    Mathematics · Physics and Astronomy · #Ergodic theory #Fractal #Mathematical analysis #Mathematics #Multifractal system #Perturbation (astronomy) #Physics #Quantum #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #cond-mat.dis-nn #nlin.CD #quant-ph
17. A generalization of the Fibonacci word fractal and the Fibonacci snowflake
    2014/02/07 by Jósé L. Ramírez, José L. Ramírez, Gustavo N. Rubiano +2 · 1 citation
    Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Arithmetic #Combinatorics #Discrete mathematics #Fibonacci number #Fibonacci polynomials #Fractal #Generalization #Geometry #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Polyomino #Snowflake #Word (group theory) #semigroups and automata theory
18. Population Balance Modeling of Aggregation and Coalescence in Colloidal Systems
    2014/02/01 by Ivan Kryven, Stefano Lazzari, Giuseppe Storti · 1 citation
    Environmental Science · Materials Science · Chemistry · Mathematics · #Coagulation and Flocculation Studies #Material Dynamics and Properties #Surfactants and Colloidal Systems #Coalescence (physics) #Fractal dimension #Cluster (spacecraft) #Population #Statistical physics #Population balance equation #Chemical physics #Fractal #Colloid #Colloidal particle #Chemistry #Biological system #Physics #Mathematics #Physical chemistry #Mathematical analysis #Computer science
19. Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation
    2014/01/01 by Abdon Atangana, P. D. Vermeulen · 1 citation
    Mathematics · Engineering · Physics and Astronomy · #Fractional Differential Equations Solutions #Numerical methods in engineering #Model Reduction and Neural Networks #Groundwater flow equation #Mathematics #Hydraulic head #Groundwater flow #Flow (mathematics) #Groundwater #Fractional calculus #Fractal #Mathematical analysis #Applied mathematics #Geometry #Geotechnical engineering #Geology #Aquifer
20. Scaling and Scale Symmetries in Biological Systems
    2013/12/13 by G. Longo, Giuseppe Longo, Maël Montévil · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · #Allometry #Biological system #Biology #Computer science #Ecology #Focus (optics) #Fractal #Fractal and DNA sequence analysis #Geometry #Homogeneous space #Mathematical analysis #Mathematics #Observable #Physics #Robustness (evolution) #Scale (ratio) #Scale invariance #Scaling #Statistical physics #Statistics
21. Fractal massacres in the Old Northwest: the example of the Miamis
    2013/05/22 by Barbara Alice Mann · 1 citation
    Social Sciences · Business, Management and Accounting · Arts and Humanities · #Archaeology and Natural History #American History and Culture #Mormonism, Religion, and History #Miami #Diplomacy #Rhetoric #Empire #CONQUEST #History #Fractal #Ancient history #Ethnology #Political science #Law #Geology #Philosophy
22. Measure Theory: Second Edition
    2013/01/01 by Donald L. Cohn · 1 citation
    Computer Science · Economics, Econometrics and Finance · Mathematics · Medicine · #Advanced Banach Space Theory #Advanced Mathematical Modeling in Engineering #Borel measure #Calculus (dental) #Computer science #Data mining #Discrete mathematics #Fractal #Hausdorff dimension #Hausdorff measure #Hausdorff space #Locally compact group #Locally compact space #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Measure (data warehouse) #Medicine #Outer measure #Point processes and geometric inequalities #Probability measure #Pure mathematics #Riesz–Markov–Kakutani representation theorem #Stochastic processes and financial applications #σ-finite measure
23. Gabriel's Other Possessions
    2012/05/01 by Melvin Royer · 1 citation
    Mathematics · #Mathematical and Theoretical Analysis #Advanced Mathematical Theories #History and Theory of Mathematics #CITES #Calculus (dental) #Fractal #French horn #Algebra over a field #Mathematics #Pure mathematics #Computer science #Sociology #Mathematical analysis
24. Power-laws in recurrence networks from dynamical systems
    2012/03/15 by Y. Zou, J. Heitzig, R. V. Donner +6 · 1 citation
    Physics and Astronomy · #Chaos control and synchronization #Complex Network Analysis Techniques #Degree (music) #Dynamical systems theory #Exponent #Fractal #Nonlinear dynamical systems #Nonlinear system #Recurrence quantification analysis #Series (stratigraphy) #Statistical Mechanics and Entropy #nlin.CD
25. Investigation of anomalous diffusion and multifractal dimensions in polypyrrole film
    2012/02/24 by Ahmad Sharifi-Viand, A. Sharifi-Viand, M.G. Mahjani +1 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Analytical Chemistry (journal) #Anomalous diffusion #Chemistry #Computational chemistry #Cyclic voltammetry #Dielectric spectroscopy #Diffusion #Electrochemical Analysis and Applications #Electrochemistry #Electrode #Force Microscopy Techniques and Applications #Fractal #Fractal dimension #Glassy carbon #Lipid Membrane Structure and Behavior #Mathematical analysis #Mean squared displacement #Molecular dynamics #Multifractal system #Organic chemistry #Physical chemistry #Polypyrrole #Thermodynamics
26. Fractional Differintegrations Insight Concepts
    2011/01/01 by Shantanu Das · 1 citation
    Mathematics · #Applied mathematics #Calculus (dental) #Computer science #Differentiable function #Fractal #Fractional Differential Equations Solutions #Fractional calculus #Function (biology) #Integration by parts #Interpretation (philosophy) #Mathematical analysis #Mathematics #Measure (data warehouse) #Realization (probability)
27. Increasing digit subsystems of infinite iterated function systems
    2010/10/25 by Thomas Jordan, Michal Rams, Jordan, Thomas +1 · 1 citation
    Mathematics · #Combinatorics #Dimension (graph theory) #Dimension function #Discrete mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #Fractal #Fractal dimension #Function (biology) #Hausdorff dimension #Hausdorff space #Iterated function #Iterated function system #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Minkowski–Bouligand dimension #Packing dimension #math.DS
28. Dimension of the loop-erased random walk in three dimensions
    2010/08/31 by David B. Wilson · 1 citation
    Mathematics · Physics and Astronomy · #Abelian sandpile model #Combinatorics #Complex Network Analysis Techniques #Condensed matter physics #Cubic crystal system #Dimension (graph theory) #Fractal #Geometry #Heterogeneous random walk in one dimension #Lattice (music) #Loop (graph theory) #Loop-erased random walk #Mathematical analysis #Mathematics #Physics #Random walk #Scaling #Spanning tree #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #msc:05C05 #msc:60C05 #msc:82B20
29. Signal attenuation and box-counting fractal analysis of optical coherence tomography images of arterial tissue
    2010/07/26 by Dan P. Popescu, Costel Flueraru, Youxin Mao +2 · 1 citation
    Engineering · Medicine · Biochemistry, Genetics and Molecular Biology · Mathematics · #Optical Coherence Tomography Applications #Retinal Imaging and Analysis #Cell Image Analysis Techniques #Optical coherence tomography #Attenuation #Box counting #Attenuation coefficient #Fractal dimension #Fractal #Fractal analysis #Optics #Tomography #Coronary arteries #Biomedical engineering #Sensitivity (control systems) #SIGNAL (programming language) #Coherence (philosophical gambling strategy) #Materials science #Physics #Mathematics #Computer science #Medicine #Artery #Statistics #Mathematical analysis
30. Fluctuations of the Local Density of States Probe Localized Surface Plasmons on Disordered Metal Films
    2010/07/21 by V. Krachmalnicoff, Valentina Krachmalnicoff, E. Castanié +4 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Anderson localization #Condensed matter physics #Density of states #Diffusion and Search Dynamics #Fractal #Local density of states #Materials science #Measure (data warehouse) #Metal #Nanometre #Optics #Physics #Plasmon #Random lasers and scattering media #Surface (topology) #Surface plasmon #Surface states #Theoretical and Computational Physics #cond-mat.mes-hall #physics.optics

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