Σύνολο Μάντελμπροτ (Greek Wikipedia)

Analysis of information sources in references of the Wikipedia article "Σύνολο Μάντελμπροτ" in Greek language version.

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allmusic.com

«Blue Man Group - Audio Album Reviews, Songs & More». Allmusic.com (στα Αγγλικά). Ανακτήθηκε στις 4 Ιουλίου 2023.
Heart - Jupiters Darling Album Reviews, Songs & More | AllMusic, https://www.allmusic.com/album/jupiters-darling-mw0000460138, ανακτήθηκε στις 2023-07-22

ams.org

Hubbard, J. H. (1993). «Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz» (PDF). Topological methods in modern mathematics (Stony Brook, NY, 1991). Houston, TX: Publish or Perish. σελίδες 467–511. MR 1215974. . Hubbard cites as his source a 1989 unpublished manuscript of Yoccoz.
Shishikura, Mitsuhiro (1998). «The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets». Annals of Mathematics. Second Series 147 (2): 225–267. doi:10.2307/121009. MR 1626737. .
Trout, Jody (April 2002). «Book Review: 'Flatterland: Like Flatland, Only More So». Notices of the AMS 49 (4): 462–465. https://www.ams.org/notices/200204/rev-trout.pdf.

archive.org

Pountain, Dick (September 1986). «Turbocharging Mandelbrot». Byte. https://archive.org/stream/byte-magazine-1986-09/1986_09_BYTE_11-09_The_68000_Family#page/n370/mode/1up. Ανακτήθηκε στις 11 November 2015.

arxiv.org

Anna Miriam Benini (2017). «A survey on MLC, Rigidity and related topics». arXiv:1709.09869 [math.DS].

books.google.com

The Mandelbrot set, theme and variations. Tan, Lei. Cambridge University Press, 2000. ISBN 978-0-521-77476-5. Section 2.1, "Yoccoz para-puzzles", p. 121
J. Milnor (1989). «Self-Similarity and Hairiness in the Mandelbrot Set». Στο: M. C. Tangora. Computers in Geometry and Topology. New York: Taylor & Francis. σελίδες 211–257. ISBN 9780824780319. )
Briggs, John (1992). Fractals: The Patterns of Chaos : a New Aesthetic of Art, Science, and Nature. Simon and Schuster. ISBN 978-0-671-74217-1.
Piers Anthony (1992). Fractal Mode. HarperCollins. ISBN 978-0-246-13902-3.
Arthur C. Clarke (29 Σεπτεμβρίου 2011). The Ghost From The Grand Banks. Orion. ISBN 978-0-575-12179-9.

bridgesmathart.org

archive.bridgesmathart.org

Barrallo, Javier (2010). «Expanding the Mandelbrot Set into Higher Dimensions» (PDF). BridgesMathArt. Ανακτήθηκε στις 15 Σεπτεμβρίου 2021.

brown.edu

math.brown.edu

Kahn, Jeremy (8 Αυγούστου 2001). «The Mandelbrot Set is Connected: a Topological Proof» (PDF).

bu.edu

math.bu.edu

«Mandelbrot Set Explorer: Mathematical Glossary». Ανακτήθηκε στις 7 Οκτωβρίου 2007.

cornell.edu

math.cornell.edu

Hubbard, J. H. (1993). «Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz» (PDF). Topological methods in modern mathematics (Stony Brook, NY, 1991). Houston, TX: Publish or Perish. σελίδες 467–511. MR 1215974. . Hubbard cites as his source a 1989 unpublished manuscript of Yoccoz.

doi.org

dx.doi.org

Mandelbrot, Benoit (1980). «Fractal aspects of the iteration of $z\mapsto \lambda z(1-z)$ for complex $\lambda ,z$ ». Annals of the New York Academy of Sciences 357 (1): 249–259. doi:10.1111/j.1749-6632.1980.tb29690.x.
Rees, Mary (January 2016). «One hundred years of complex dynamics». Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472 (2185). doi:10.1098/rspa.2015.0453. https://royalsocietypublishing.org/doi/10.1098/rspa.2015.0453. Ανακτήθηκε στις 2023-07-19.
Lei (1990). «Similarity between the Mandelbrot set and Julia Sets». Communications in Mathematical Physics 134 (3): 587–617. doi:10.1007/bf02098448. Bibcode: 1990CMaPh.134..587L. http://projecteuclid.org/euclid.cmp/1104201823.
Shishikura, Mitsuhiro (1998). «The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets». Annals of Mathematics. Second Series 147 (2): 225–267. doi:10.2307/121009. MR 1626737. .
Katunin, Andrzej; Fedio, Kamil (2015). «On a Visualization of the Convergence of the Boundary of Generalized Mandelbrot Set to (n-1)-Sphere». Journal of Applied Mathematics and Computational Mechanics 14 (1): 63–69. doi:10.17512/jamcm.2015.1.06. https://reader.digitarium.pcss.pl/Content/295117/JAMCM_2015_1_6-Katunin_Fedio.pdf. Ανακτήθηκε στις 18 May 2022.
Klebanoff, Aaron D. (2001). «π in the Mandelbrot Set». Fractals 9 (4): 393–402. doi:10.1142/S0218348X01000828.

fractalfoundation.org

«Fractal Foundation Online Course - Chapter 11 - FIBONACCI FRACTALS». fractalfoundation.org. Ανακτήθηκε στις 19 Ιουλίου 2023.

ghostarchive.org

«Number Sequences in the Mandelbrot Set». youtube.com. The Mathemagicians' Guild. 4 Ιουνίου 2020. Αρχειοθετήθηκε από το πρωτότυπο στις 30 Οκτωβρίου 2021.

gizmodo.com

Mandelbaum, Ryan F. (2018). "This Trippy Music Video Is Made of 3D Fractals." Retrieved 17 January 2019

harvard.edu

math.harvard.edu

«Wayback Machine» (PDF). web.archive.org. Αρχειοθετήθηκε από το πρωτότυπο (PDF) στις 28 Ιουλίου 2019. Ανακτήθηκε στις 20 Ιουλίου 2023.

abel.math.harvard.edu

Robert Brooks and Peter Matelski, The dynamics of 2-generator subgroups of PSL(2,C), in Irwin Kra (1 Μαΐου 1981). Irwin Kra, επιμ. Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (PDF). Bernard Maskit. Princeton University Press. ISBN 0-691-08267-7. Αρχειοθετήθηκε από το πρωτότυπο (PDF) στις 28 Ιουλίου 2019. Ανακτήθηκε στις 1 Ιουλίου 2019.

adsabs.harvard.edu

Lei (1990). «Similarity between the Mandelbrot set and Julia Sets». Communications in Mathematical Physics 134 (3): 587–617. doi:10.1007/bf02098448. Bibcode: 1990CMaPh.134..587L. http://projecteuclid.org/euclid.cmp/1104201823.

hellenica.de

«Mandelbrot Synolo». www.hellenica.de. Ανακτήθηκε στις 21 Ιουλίου 2023.

icollector.com

«Hannah Marks "Amanda Brotzman" customized black leather jacket from Dirk Gently's Holistic Detective Agency». www.icollector.com.

jonathancoulton.com

«Mandelbrot Set». JoCopeda. Ανακτήθηκε στις 15 Ιανουαρίου 2015.

jstor.org

«Exploring The Mandelbrot Set». Scientific American 253 (2): 4. August 1985. https://www.jstor.org/stable/24967754.

nih.gov

ncbi.nlm.nih.gov

R.P. Taylor & J.C. Sprott (2008). «Biophilic Fractals and the Visual Journey of Organic Screen-savers». Nonlinear Dynamics, Psychology, and Life Sciences (Society for Chaos Theory in Psychology & Life Sciences) 12 (1): 117–129. PMID 18157930. http://sprott.physics.wisc.edu/pubs/paper311.pdf. Ανακτήθηκε στις 1 January 2009.

oeis.org

«A000740 - OEIS». oeis.org. Ανακτήθηκε στις 22 Ιουλίου 2023.

pcss.pl

reader.digitarium.pcss.pl

Katunin, Andrzej; Fedio, Kamil (2015). «On a Visualization of the Convergence of the Boundary of Generalized Mandelbrot Set to (n-1)-Sphere». Journal of Applied Mathematics and Computational Mechanics 14 (1): 63–69. doi:10.17512/jamcm.2015.1.06. https://reader.digitarium.pcss.pl/Content/295117/JAMCM_2015_1_6-Katunin_Fedio.pdf. Ανακτήθηκε στις 18 May 2022.

projecteuclid.org

Lei (1990). «Similarity between the Mandelbrot set and Julia Sets». Communications in Mathematical Physics 134 (3): 587–617. doi:10.1007/bf02098448. Bibcode: 1990CMaPh.134..587L. http://projecteuclid.org/euclid.cmp/1104201823.

royalsocietypublishing.org

Rees, Mary (January 2016). «One hundred years of complex dynamics». Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472 (2185). doi:10.1098/rspa.2015.0453. https://royalsocietypublishing.org/doi/10.1098/rspa.2015.0453. Ανακτήθηκε στις 2023-07-19.

sjsu.edu

cs.sjsu.edu

Rudy Rucker's discussion of the CCM: CS.sjsu.edu Αρχειοθετήθηκε 2017-03-03 στο Wayback Machine.

thewest.com.au

Moeller, Olga de. (2018)."what are Fractals?" Retrieved 17 January 2019.

tor.com

«The Great Alan Moore Reread: Big Numbers by Tim Callahan». Tor.com.

toronto.edu

math.toronto.edu

«Local Connectivity of the Mandelbrot Set - Matt Koster» (PDF).

uchicago.edu

math.uchicago.edu

«Fractal Geometry: The Mandelbrot and Julia Sets - uchicago.edu» (PDF).

upi.com

Sheridan, Wade (20 Νοεμβρίου 2020). «Google honors mathematician Benoit Mandelbrot with new Doodle». United Press International. Ανακτήθηκε στις 30 Δεκεμβρίου 2020.

web.archive.org

Robert Brooks and Peter Matelski, The dynamics of 2-generator subgroups - Irwin Kra (ed.). Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (PDF)
«Wayback Machine» (PDF). web.archive.org. Αρχειοθετήθηκε από το πρωτότυπο (PDF) στις 28 Ιουλίου 2019. Ανακτήθηκε στις 20 Ιουλίου 2023.
Robert Brooks and Peter Matelski, The dynamics of 2-generator subgroups of PSL(2,C), in Irwin Kra (1 Μαΐου 1981). Irwin Kra, επιμ. Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (PDF). Bernard Maskit. Princeton University Press. ISBN 0-691-08267-7. Αρχειοθετήθηκε από το πρωτότυπο (PDF) στις 28 Ιουλίου 2019. Ανακτήθηκε στις 1 Ιουλίου 2019.
Rudy Rucker's discussion of the CCM: CS.sjsu.edu Αρχειοθετήθηκε 2017-03-03 στο Wayback Machine.

wikipedia.org

en.wikipedia.org

Robert Brooks and Peter Matelski, The dynamics of 2-generator subgroups of PSL(2,C), in Irwin Kra (1 Μαΐου 1981). Irwin Kra, επιμ. Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (PDF). Bernard Maskit. Princeton University Press. ISBN 0-691-08267-7. Αρχειοθετήθηκε από το πρωτότυπο (PDF) στις 28 Ιουλίου 2019. Ανακτήθηκε στις 1 Ιουλίου 2019.
Peitgen, Heinz-Otto· Richter Peter (1986). The Beauty of Fractals. Heidelberg: Springer-Verlag. ISBN 0-387-15851-0.
Frontiers of Chaos, Exhibition of the Goethe-Institut by H.O. Peitgen, P. Richter, H. Jürgens, M. Prüfer, D.Saupe. Since 1985 shown in over 40 countries.
Gleick, James (1987). Chaos: Making a New Science. London: Cardinal. σελ. 229.
Pountain, Dick (September 1986). «Turbocharging Mandelbrot». Byte. https://archive.org/stream/byte-magazine-1986-09/1986_09_BYTE_11-09_The_68000_Family#page/n370/mode/1up. Ανακτήθηκε στις 11 November 2015.
Rees, Mary (January 2016). «One hundred years of complex dynamics». Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472 (2185). doi:10.1098/rspa.2015.0453. https://royalsocietypublishing.org/doi/10.1098/rspa.2015.0453. Ανακτήθηκε στις 2023-07-19.
Jung, Wolf (2002). Homeomorphisms on Edges of the Mandelbrot Set (Doctoral thesis). RWTH Aachen University.
Rudy Rucker's discussion of the CCM: CS.sjsu.edu Αρχειοθετήθηκε 2017-03-03 στο Wayback Machine.
Sheridan, Wade (20 Νοεμβρίου 2020). «Google honors mathematician Benoit Mandelbrot with new Doodle». United Press International. Ανακτήθηκε στις 30 Δεκεμβρίου 2020.

wisc.edu

sprott.physics.wisc.edu

R.P. Taylor & J.C. Sprott (2008). «Biophilic Fractals and the Visual Journey of Organic Screen-savers». Nonlinear Dynamics, Psychology, and Life Sciences (Society for Chaos Theory in Psychology & Life Sciences) 12 (1): 117–129. PMID 18157930. http://sprott.physics.wisc.edu/pubs/paper311.pdf. Ανακτήθηκε στις 1 January 2009.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. «Mandelbrot Set Lemniscate». Wolfram Mathworld (στα Αγγλικά). Ανακτήθηκε στις 17 Ιουλίου 2023.

youtube.com

«Number Sequences in the Mandelbrot Set». youtube.com. The Mathemagicians' Guild. 4 Ιουνίου 2020. Αρχειοθετήθηκε από το πρωτότυπο στις 30 Οκτωβρίου 2021.