Fractal (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Fractal" in English language version.

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Speckner, Konstantin; Stadler, Lorenz; Weiss, Matthias (July 9, 2018). "Anomalous dynamics of the endoplasmic reticulum network". Physical Review E. 98 (1): 012406. Bibcode:2018PhRvE..98a2406S. doi:10.1103/PhysRevE.98.012406. ISSN 2470-0045. PMID 30110830. S2CID 52010780.

archive.org

Gordon, Nigel (2000). Introducing fractal geometry. Duxford: Icon. p. 71. ISBN 978-1-84046-123-7.
Takayasu, H. (1990). Fractals in the physical sciences. Manchester: Manchester University Press. p. 36. ISBN 978-0-7190-3434-3.

archives-ouvertes.fr

hal.archives-ouvertes.fr

D. Seekell; M. L. Pace; L. J. Tranvik; C. Verpoorter (2013). "A fractal-based approach to lake size-distributions" (PDF). Geophysical Research Letters. 40 (3): 517–521. Bibcode:2013GeoRL..40..517S. doi:10.1002/grl.50139. S2CID 14482711.

arxiv.org

Sadegh, Sanaz (2017). "Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork". Physical Review X. 7 (1): 011031. arXiv:1702.03997. Bibcode:2017PhRvX...7a1031S. doi:10.1103/PhysRevX.7.011031. PMC 5500227. PMID 28690919.
Boffetta, G.; Celani, A.; Dezzani, D.; Seminara, A. (2008). "How winding is the coast of Britain? Conformal invariance of rocky shorelines". Geophysical Research Letters. 35 (3). arXiv:0712.3076. Bibcode:2008GeoRL..35.3615B. doi:10.1029/2007GL033093. ISSN 0094-8276.
Singh, Chamkor; Mazza, Marco (2019), "Electrification in granular gases leads to constrained fractal growth", Scientific Reports, 9 (1), Nature Publishing Group: 9049, arXiv:1812.06073, Bibcode:2019NatSR...9.9049S, doi:10.1038/s41598-019-45447-x, PMC 6588598, PMID 31227758
Sadegh, Sanaz; Higgins, Jenny L.; Mannion, Patrick C.; Tamkun, Michael M.; Krapf, Diego (March 9, 2017). "Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork". Physical Review X. 7 (1): 011031. arXiv:1702.03997. Bibcode:2017PhRvX...7a1031S. doi:10.1103/PhysRevX.7.011031. ISSN 2160-3308. PMC 5500227. PMID 28690919.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Li, Y.; Perlman, E.; Wang, M.; Yang, y.; Meneveau, C.; Burns, R.; Chen, S.; Szalay, A.; Eyink, G. (2008). "A Public Turbulence Database Cluster and Applications to Study Lagrangian Evolution of Velocity Increments in Turbulence". Journal of Turbulence. 9: N31. arXiv:0804.1703. Bibcode:2008JTurb...9...31L. doi:10.1080/14685240802376389. S2CID 15768582.

books.google.com

Mandelbrot, Benoît B. (1983). The fractal geometry of nature. Macmillan. ISBN 978-0-7167-1186-5.
Edgar, Gerald (2007). Measure, Topology, and Fractal Geometry. Springer Science & Business Media. p. 7. ISBN 978-0-387-74749-1.
Jelinek, Herbert F.; Karperien, Audrey; Cornforth, David; Cesar, Roberto; Leandro, Jorge de Jesus Gomes (2002). "MicroMod-an L-systems approach to neural modelling". In Sarker, Ruhul (ed.). Workshop proceedings: the Sixth Australia-Japan Joint Workshop on Intelligent and Evolutionary Systems, University House, ANU. University of New South Wales. ISBN 978-0-7317-0505-4. OCLC 224846454. Retrieved February 3, 2012. Event location: Canberra, Australia
Losa, Gabriele A.; Nonnenmacher, Theo F. (2005). Fractals in biology and medicine. Springer. ISBN 978-3-7643-7172-2.
Pickover, Clifford A. (2009). The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics. Sterling. p. 310. ISBN 978-1-4027-5796-9.
Russ, John C. (1994). Fractal surfaces. Vol. 1. Springer. p. 1. ISBN 978-0-306-44702-0. Retrieved February 5, 2011.
Frame, Angus (August 3, 1998). "Iterated Function Systems". In Pickover, Clifford A. (ed.). Chaos and fractals: a computer graphical journey : ten year compilation of advanced research. Elsevier. pp. 349–351. ISBN 978-0-444-50002-1. Retrieved February 4, 2012.
Hahn, Horst K.; Georg, Manfred; Peitgen, Heinz-Otto (2005). "Fractal aspects of three-dimensional vascular constructive optimization". In Losa, Gabriele A.; Nonnenmacher, Theo F. (eds.). Fractals in biology and medicine. Springer. pp. 55–66. ISBN 978-3-7643-7172-2.
Carbone, Alessandra; Gromov, Mikhael; Prusinkiewicz, Przemyslaw (2000). Pattern Formation in Biology, Vision and Dynamics. World Scientific. ISBN 978-981-02-3792-9.
Cannon, James W.; Floyd, William J.; Perry, Walter R. (2000). "Crystal growth, biological cell growth and geometry". In Carbone, Alessandra; Gromov, Mikhael; Prusinkiewicz, Przemyslaw (eds.). Pattern formation in biology, vision and dynamics. World Scientific. pp. 65–82. ISBN 978-981-02-3792-9.
Addison, Paul S. (1997). Fractals and chaos: an illustrated course. CRC Press. pp. 44–46. ISBN 978-0-7503-0400-9. Retrieved February 5, 2011.
Meyer, Yves; Roques, Sylvie (1993). Progress in wavelet analysis and applications: proceedings of the International Conference "Wavelets and Applications", Toulouse, France – June 1992. Atlantica Séguier Frontières. p. 25. ISBN 978-2-86332-130-0. Retrieved February 5, 2011.

cambridge.org

journals.cambridge.org

Azua-Bustos, Armando; Vega-Martínez, Cristian (October 2013). ""Detecting 'life as we don't know it' by fractal analysis"". International Journal of Astrobiology. 12 (4): 314–320. doi:10.1017/S1473550413000177. hdl:11336/26238. S2CID 122793675.

doi.org

Segal, S. L. (June 1978). "Riemann's example of a continuous 'nondifferentiable' function continued". The Mathematical Intelligencer. 1 (2): 81–82. doi:10.1007/BF03023065. S2CID 120037858.
Brothers, Harlan J. (2007). "Structural Scaling in Bach's Cello Suite No. 3". Fractals. 15 (1): 89–95. doi:10.1142/S0218348X0700337X.
Tan, Can Ozan; Cohen, Michael A.; Eckberg, Dwain L.; Taylor, J. Andrew (2009). "Fractal properties of human heart period variability: Physiological and methodological implications". The Journal of Physiology. 587 (15): 3929–41. doi:10.1113/jphysiol.2009.169219. PMC 2746620. PMID 19528254.
Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging". Biophysical Journal. 85 (6): 4041–4046. Bibcode:2003BpJ....85.4041L. doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14645092.
Karperien, Audrey L.; Jelinek, Herbert F.; Buchan, Alastair M. (2008). "Box-Counting Analysis of Microglia Form in Schizophrenia, Alzheimer's Disease and Affective Disorder". Fractals. 16 (2): 103. doi:10.1142/S0218348X08003880.
Hu, Shougeng; Cheng, Qiuming; Wang, Le; Xie, Shuyun (2012). "Multifractal characterization of urban residential land price in space and time". Applied Geography. 34: 161–170. Bibcode:2012AppGe..34..161H. doi:10.1016/j.apgeog.2011.10.016.
Karperien, Audrey; Jelinek, Herbert F.; Leandro, Jorge de Jesus Gomes; Soares, João V. B.; Cesar Jr, Roberto M.; Luckie, Alan (2008). "Automated detection of proliferative retinopathy in clinical practice". Clinical Ophthalmology. 2 (1): 109–122. doi:10.2147/OPTH.S1579. PMC 2698675. PMID 19668394.
Vannucchi, Paola; Leoni, Lorenzo (2007). "Structural characterization of the Costa Rica décollement: Evidence for seismically-induced fluid pulsing". Earth and Planetary Science Letters. 262 (3–4): 413. Bibcode:2007E&PSL.262..413V. doi:10.1016/j.epsl.2007.07.056. hdl:2158/257208. S2CID 128467785.
Ostwald, Michael J., and Vaughan, Josephine (2016) The Fractal Dimension of Architecture Birhauser, Basel. doi:10.1007/978-3-319-32426-5.
Mandelbrot, B. (1967). "How Long Is the Coast of Britain?". Science. 156 (3775): 636–638. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on October 19, 2021. Retrieved October 31, 2020.
Karperien, Audrey (2004). Defining microglial morphology: Form, Function, and Fractal Dimension. Charles Sturt University. doi:10.13140/2.1.2815.9048.
Fathallah-Shaykh, Hassan M. (2011). "Fractal Dimension of the Drosophila Circadian Clock". Fractals. 19 (4): 423–430. doi:10.1142/S0218348X11005476.
Sadegh, Sanaz (2017). "Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork". Physical Review X. 7 (1): 011031. arXiv:1702.03997. Bibcode:2017PhRvX...7a1031S. doi:10.1103/PhysRevX.7.011031. PMC 5500227. PMID 28690919.
Lovejoy, Shaun (1982). "Area-perimeter relation for rain and cloud areas". Science. 216 (4542): 185–187. Bibcode:1982Sci...216..185L. doi:10.1126/science.216.4542.185. PMID 17736252. S2CID 32255821.
Boffetta, G.; Celani, A.; Dezzani, D.; Seminara, A. (2008). "How winding is the coast of Britain? Conformal invariance of rocky shorelines". Geophysical Research Letters. 35 (3). arXiv:0712.3076. Bibcode:2008GeoRL..35.3615B. doi:10.1029/2007GL033093. ISSN 0094-8276.
Singh, Chamkor; Mazza, Marco (2019), "Electrification in granular gases leads to constrained fractal growth", Scientific Reports, 9 (1), Nature Publishing Group: 9049, arXiv:1812.06073, Bibcode:2019NatSR...9.9049S, doi:10.1038/s41598-019-45447-x, PMC 6588598, PMID 31227758
Sweet, D.; Ott, E.; Yorke, J. A. (1999), "Complex topology in Chaotic scattering: A Laboratory Observation", Nature, 399 (6734): 315, Bibcode:1999Natur.399..315S, doi:10.1038/20573, S2CID 4361904
D. Seekell; B. Cael; E. Lindmark; P. Byström (2021). "The fractal scaling relationship for river inlets to lakes". Geophysical Research Letters. 48 (9): e2021GL093366. Bibcode:2021GeoRL..4893366S. doi:10.1029/2021GL093366. ISSN 0094-8276. S2CID 235508504.
D. Seekell; M. L. Pace; L. J. Tranvik; C. Verpoorter (2013). "A fractal-based approach to lake size-distributions" (PDF). Geophysical Research Letters. 40 (3): 517–521. Bibcode:2013GeoRL..40..517S. doi:10.1002/grl.50139. S2CID 14482711.
B. B. Cael; D. A. Seekell (2016). "The size-distribution of Earth's lakes". Scientific Reports. 6: 29633. Bibcode:2016NatSR...629633C. doi:10.1038/srep29633. PMC 4937396. PMID 27388607.
Enright, Matthew B.; Leitner, David M. (January 27, 2005). "Mass fractal dimension and the compactness of proteins". Physical Review E. 71 (1): 011912. Bibcode:2005PhRvE..71a1912E. doi:10.1103/PhysRevE.71.011912. PMID 15697635.
Thomas F. Varley; Robin Carhart-Harris; Leor Roseman; David K. Menon; Emmanuel A. Stamatakis (2020). "Serotonergic psychedelics LSD & psilocybin increase the fractal dimension of cortical brain activity in spatial and temporal domains". NeuroImage. 220. doi:10.1016/j.neuroimage.2020.117049.
Takeda, T; Ishikawa, A; Ohtomo, K; Kobayashi, Y; Matsuoka, T (February 1992). "Fractal dimension of dendritic tree of cerebellar Purkinje cell during onto- and phylogenetic development". Neurosci Research. 13 (1): 19–31. doi:10.1016/0168-0102(92)90031-7. PMID 1314350. S2CID 4158401.
Jun, Li; Ostoja-Starzewski, Martin (April 1, 2015). "Edges of Saturn's Rings are Fractal". SpringerPlus. 4, 158: 158. doi:10.1186/s40064-015-0926-6. PMC 4392038. PMID 25883885.
Tarboton, David G; Bras, Rafael L; Rodriguez-Iturbe, Ignacio (1988). "The fractal nature of river networks". Water Resources Research. 24 (8): 1317. Bibcode:1988WRR....24.1317T. doi:10.1029/WR024i008p01317.
Sreenivasan, K. R.; Meneveau, C. (1986). "The Fractal Facets of Turbulence". Journal of Fluid Mechanics. 173: 357–386. Bibcode:1986JFM...173..357S. doi:10.1017/S0022112086001209. S2CID 55578215.
de Silva, C. M.; Philip, J.; Chauhan, K.; Meneveau, C.; Marusic, I. (2013). "Multiscale Geometry and Scaling of the Turbulent–Nonturbulent Interface in High Reynolds Number Boundary Layers". Phys. Rev. Lett. 111 (6039): 192–196. Bibcode:2011Sci...333..192A. doi:10.1126/science.1203223. PMID 21737736. S2CID 22560587.
Leggett, Susan E.; Neronha, Zachary J.; Bhaskar, Dhananjay; Sim, Jea Yun; Perdikari, Theodora Myrto; Wong, Ian Y. (August 27, 2019). "Motility-limited aggregation of mammary epithelial cells into fractal-like clusters". Proceedings of the National Academy of Sciences. 116 (35): 17298–17306. Bibcode:2019PNAS..11617298L. doi:10.1073/pnas.1905958116. ISSN 0027-8424. PMC 6717304. PMID 31413194.
Jelinek, Herbert F; Fernandez, Eduardo (June 1998). "Neurons and fractals: how reliable and useful are calculations of fractal dimensions?". Journal of Neuroscience Methods. 81 (1–2): 9–18. doi:10.1016/S0165-0270(98)00021-1. PMID 9696304. S2CID 3811866.
Cross, Simon S. (1997). "Fractals in Pathology". The Journal of Pathology. 182 (1): 1–8. doi:10.1002/(SICI)1096-9896(199705)182:1<1::AID-PATH808>3.0.CO;2-B. ISSN 1096-9896. PMID 9227334. S2CID 23274235.
Sadegh, Sanaz; Higgins, Jenny L.; Mannion, Patrick C.; Tamkun, Michael M.; Krapf, Diego (March 9, 2017). "Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork". Physical Review X. 7 (1): 011031. arXiv:1702.03997. Bibcode:2017PhRvX...7a1031S. doi:10.1103/PhysRevX.7.011031. ISSN 2160-3308. PMC 5500227. PMID 28690919.
Speckner, Konstantin; Stadler, Lorenz; Weiss, Matthias (July 9, 2018). "Anomalous dynamics of the endoplasmic reticulum network". Physical Review E. 98 (1): 012406. Bibcode:2018PhRvE..98a2406S. doi:10.1103/PhysRevE.98.012406. ISSN 2470-0045. PMID 30110830. S2CID 52010780.
Taylor, R. P.; et al. (1999). "Fractal Analysis of Pollock's Drip Paintings". Nature. 399 (6735): 422. Bibcode:1999Natur.399..422T. doi:10.1038/20833. S2CID 204993516.
Taylor, R. P.; et al. (2006). "Fractal Analysis: Revisiting Pollock's Paintings (Reply)". Nature. 444 (7119): E10–11. Bibcode:2006Natur.444E..10T. doi:10.1038/nature05399. S2CID 31353634.
Lee, S.; Olsen, S.; Gooch, B. (2007). "Simulating and Analyzing Jackson Pollock's Paintings". Journal of Mathematics and the Arts. 1 (2): 73–83. CiteSeerX 10.1.1.141.7470. doi:10.1080/17513470701451253. S2CID 8529592.
Shamar, L. (2015). "What Makes a Pollock Pollock: A Machine Vision Approach" (PDF). International Journal of Arts and Technology. 8: 1–10. CiteSeerX 10.1.1.647.365. doi:10.1504/IJART.2015.067389. Archived from the original (PDF) on October 25, 2017. Retrieved October 24, 2017.
Taylor, R. P.; Spehar, B.; Van Donkelaar, P.; Hagerhall, C. M. (2011). "Perceptual and Physiological Responses to Jackson Pollock's Fractals". Frontiers in Human Neuroscience. 5: 1–13. doi:10.3389/fnhum.2011.00060. PMC 3124832. PMID 21734876.
Robles, Kelly E.; Roberts, Michelle; Viengkham, Catherine; Smith, Julian H.; Rowland, Conor; Moslehi, Saba; Stadlober, Sabrina; Lesjak, Anastasija; Lesjak, Martin; Taylor, Richard P.; Spehar, Branka; Sereno, Margaret E. (2021). "Aesthetics and Psychological Effects of Fractal Based Design". Frontiers in Psychology. 12. doi:10.3389/fpsyg.2021.699962. ISSN 1664-1078. PMC 8416160. PMID 34484047.
Taylor, Richard P. (2006). "Reduction of Physiological Stress Using Fractal Art and Architecture". Leonardo. 39 (3): 245–251. doi:10.1162/leon.2006.39.3.245. S2CID 8495221.
For further discussion of this effect, see Taylor, Richard P.; Spehar, Branka; Donkelaar, Paul Van; Hagerhall, Caroline M. (2011). "Perceptual and Physiological Responses to Jackson Pollock's Fractals". Frontiers in Human Neuroscience. 5: 60. doi:10.3389/fnhum.2011.00060. PMC 3124832. PMID 21734876.
Hohlfeld, Robert G.; Cohen, Nathan (1999). "Self-similarity and the geometric requirements for frequency independence in Antennae". Fractals. 7 (1): 79–84. doi:10.1142/S0218348X99000098.
Reiner, Richard; Waltereit, Patrick; Benkhelifa, Fouad; Müller, Stefan; Walcher, Herbert; Wagner, Sandrine; Quay, Rüdiger; Schlechtweg, Michael; Ambacher, Oliver; Ambacher, O. (2012). "Fractal structures for low-resistance large area AlGaN/GaN power transistors". 2012 24th International Symposium on Power Semiconductor Devices and ICs. pp. 341–344. doi:10.1109/ISPSD.2012.6229091. ISBN 978-1-4577-1596-9. S2CID 43053855.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Azua-Bustos, Armando; Vega-Martínez, Cristian (October 2013). ""Detecting 'life as we don't know it' by fractal analysis"". International Journal of Astrobiology. 12 (4): 314–320. doi:10.1017/S1473550413000177. hdl:11336/26238. S2CID 122793675.
Smith, Robert F.; Mohr, David N.; Torres, Vicente E.; Offord, Kenneth P.; Melton III, L. Joseph (1989). "Renal insufficiency in community patients with mild asymptomatic microhematuria". Mayo Clinic Proceedings. 64 (4): 409–414. doi:10.1016/s0025-6196(12)65730-9. PMID 2716356.
Landini, Gabriel (2011). "Fractals in microscopy". Journal of Microscopy. 241 (1): 1–8. doi:10.1111/j.1365-2818.2010.03454.x. PMID 21118245. S2CID 40311727.
Cheng, Qiuming (1997). "Multifractal Modeling and Lacunarity Analysis". Mathematical Geology. 29 (7): 919–932. Bibcode:1997MatG...29..919C. doi:10.1023/A:1022355723781. S2CID 118918429.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Brown, Clifford T.; Witschey, Walter R. T.; Liebovitch, Larry S. (2005). "The Broken Past: Fractals in Archaeology". Journal of Archaeological Method and Theory. 12: 37–78. doi:10.1007/s10816-005-2396-6. S2CID 7481018.
Li, Y.; Perlman, E.; Wang, M.; Yang, y.; Meneveau, C.; Burns, R.; Chen, S.; Szalay, A.; Eyink, G. (2008). "A Public Turbulence Database Cluster and Applications to Study Lagrangian Evolution of Velocity Increments in Turbulence". Journal of Turbulence. 9: N31. arXiv:0804.1703. Bibcode:2008JTurb...9...31L. doi:10.1080/14685240802376389. S2CID 15768582.

elsevier.com

linkinghub.elsevier.com

Jelinek, Herbert F; Fernandez, Eduardo (June 1998). "Neurons and fractals: how reliable and useful are calculations of fractal dimensions?". Journal of Neuroscience Methods. 81 (1–2): 9–18. doi:10.1016/S0165-0270(98)00021-1. PMID 9696304. S2CID 3811866.

ghostarchive.org

Mandelbrot, Benoit (July 8, 2013). "24/7 Lecture on Fractals". 2006 Ig Nobel Awards. Improbable Research. Archived from the original on December 11, 2021.

google.ch

"sony patents".
"US20110227921A1 - Processing of 3D computer graphics data on multiple shading engines". Google Patents. December 15, 2010. Retrieved December 27, 2019.

handle.net

hdl.handle.net

Vannucchi, Paola; Leoni, Lorenzo (2007). "Structural characterization of the Costa Rica décollement: Evidence for seismically-induced fluid pulsing". Earth and Planetary Science Letters. 262 (3–4): 413. Bibcode:2007E&PSL.262..413V. doi:10.1016/j.epsl.2007.07.056. hdl:2158/257208. S2CID 128467785.
Azua-Bustos, Armando; Vega-Martínez, Cristian (October 2013). ""Detecting 'life as we don't know it' by fractal analysis"". International Journal of Astrobiology. 12 (4): 314–320. doi:10.1017/S1473550413000177. hdl:11336/26238. S2CID 122793675.

harvard.edu

ui.adsabs.harvard.edu

Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging". Biophysical Journal. 85 (6): 4041–4046. Bibcode:2003BpJ....85.4041L. doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14645092.
Hu, Shougeng; Cheng, Qiuming; Wang, Le; Xie, Shuyun (2012). "Multifractal characterization of urban residential land price in space and time". Applied Geography. 34: 161–170. Bibcode:2012AppGe..34..161H. doi:10.1016/j.apgeog.2011.10.016.
Vannucchi, Paola; Leoni, Lorenzo (2007). "Structural characterization of the Costa Rica décollement: Evidence for seismically-induced fluid pulsing". Earth and Planetary Science Letters. 262 (3–4): 413. Bibcode:2007E&PSL.262..413V. doi:10.1016/j.epsl.2007.07.056. hdl:2158/257208. S2CID 128467785.
Mandelbrot, B. (1967). "How Long Is the Coast of Britain?". Science. 156 (3775): 636–638. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on October 19, 2021. Retrieved October 31, 2020.
Sadegh, Sanaz (2017). "Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork". Physical Review X. 7 (1): 011031. arXiv:1702.03997. Bibcode:2017PhRvX...7a1031S. doi:10.1103/PhysRevX.7.011031. PMC 5500227. PMID 28690919.
Lovejoy, Shaun (1982). "Area-perimeter relation for rain and cloud areas". Science. 216 (4542): 185–187. Bibcode:1982Sci...216..185L. doi:10.1126/science.216.4542.185. PMID 17736252. S2CID 32255821.
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Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging". Biophysical Journal. 85 (6): 4041–4046. Bibcode:2003BpJ....85.4041L. doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14645092.
Karperien, Audrey; Jelinek, Herbert F.; Leandro, Jorge de Jesus Gomes; Soares, João V. B.; Cesar Jr, Roberto M.; Luckie, Alan (2008). "Automated detection of proliferative retinopathy in clinical practice". Clinical Ophthalmology. 2 (1): 109–122. doi:10.2147/OPTH.S1579. PMC 2698675. PMID 19668394.
Sadegh, Sanaz (2017). "Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork". Physical Review X. 7 (1): 011031. arXiv:1702.03997. Bibcode:2017PhRvX...7a1031S. doi:10.1103/PhysRevX.7.011031. PMC 5500227. PMID 28690919.
Singh, Chamkor; Mazza, Marco (2019), "Electrification in granular gases leads to constrained fractal growth", Scientific Reports, 9 (1), Nature Publishing Group: 9049, arXiv:1812.06073, Bibcode:2019NatSR...9.9049S, doi:10.1038/s41598-019-45447-x, PMC 6588598, PMID 31227758
B. B. Cael; D. A. Seekell (2016). "The size-distribution of Earth's lakes". Scientific Reports. 6: 29633. Bibcode:2016NatSR...629633C. doi:10.1038/srep29633. PMC 4937396. PMID 27388607.
Jun, Li; Ostoja-Starzewski, Martin (April 1, 2015). "Edges of Saturn's Rings are Fractal". SpringerPlus. 4, 158: 158. doi:10.1186/s40064-015-0926-6. PMC 4392038. PMID 25883885.
Leggett, Susan E.; Neronha, Zachary J.; Bhaskar, Dhananjay; Sim, Jea Yun; Perdikari, Theodora Myrto; Wong, Ian Y. (August 27, 2019). "Motility-limited aggregation of mammary epithelial cells into fractal-like clusters". Proceedings of the National Academy of Sciences. 116 (35): 17298–17306. Bibcode:2019PNAS..11617298L. doi:10.1073/pnas.1905958116. ISSN 0027-8424. PMC 6717304. PMID 31413194.
Sadegh, Sanaz; Higgins, Jenny L.; Mannion, Patrick C.; Tamkun, Michael M.; Krapf, Diego (March 9, 2017). "Plasma Membrane is Compartmentalized by a Self-Similar Cortical Actin Meshwork". Physical Review X. 7 (1): 011031. arXiv:1702.03997. Bibcode:2017PhRvX...7a1031S. doi:10.1103/PhysRevX.7.011031. ISSN 2160-3308. PMC 5500227. PMID 28690919.
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Robles, Kelly E.; Roberts, Michelle; Viengkham, Catherine; Smith, Julian H.; Rowland, Conor; Moslehi, Saba; Stadlober, Sabrina; Lesjak, Anastasija; Lesjak, Martin; Taylor, Richard P.; Spehar, Branka; Sereno, Margaret E. (2021). "Aesthetics and Psychological Effects of Fractal Based Design". Frontiers in Psychology. 12. doi:10.3389/fpsyg.2021.699962. ISSN 1664-1078. PMC 8416160. PMID 34484047.
For further discussion of this effect, see Taylor, Richard P.; Spehar, Branka; Donkelaar, Paul Van; Hagerhall, Caroline M. (2011). "Perceptual and Physiological Responses to Jackson Pollock's Fractals". Frontiers in Human Neuroscience. 5: 60. doi:10.3389/fnhum.2011.00060. PMC 3124832. PMID 21734876.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.

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