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A weak estimate of the fractal dimension of the Mandelbrot boundary
dc.contributor.authorElenbogen, Bruce S.en_US
dc.contributor.authorKaeding, Thomasen_US
dc.date.accessioned2006-04-07T20:50:09Z
dc.date.available2006-04-07T20:50:09Z
dc.date.issued1989-04-17en_US
dc.identifier.citationElenbogen, Bruce, Kaeding, Thomas (1989/04/17)."A weak estimate of the fractal dimension of the Mandelbrot boundary." Physics Letters A 136(7-8): 358-362. <http://hdl.handle.net/2027.42/27964>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6TVM-46S5BS4-22S/2/02784fbacb9ecf07a78aaf27c43b92aden_US
dc.identifier.urihttps://hdl.handle.net/2027.42/27964
dc.description.abstractA technique to compute fractal dimension as defined by the Kolmogorov capacity is discussed. The method is used to compute fractal dimension for several standard curves and the boundary of the Mandelbrot set. This estimate of fractal dimension, although very rough, refutes Milnor's conjecture that the Hausdorff dimension of the Mandelbrot boundary is 2.en_US
dc.format.extent447937 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleA weak estimate of the fractal dimension of the Mandelbrot boundaryen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumMathematics Department, The University of Michigan-Dearborn, Dearborn, MI 43128-1491, USAen_US
dc.contributor.affiliationumMathematics Department, The University of Michigan-Dearborn, Dearborn, MI 43128-1491, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/27964/1/0000395.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0375-9601(89)90415-5en_US
dc.identifier.sourcePhysics Letters Aen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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