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An exact formula for the measure dimensions associated with a class of piecewise linear maps |
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| Authors: | J S Geronimo D P Hardin |
| Institution: | 1. School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, Georgia, USA 2. Mathematics Department, Vanderbilt University, Nashville, Tennessee, USA |
| Abstract: | An exact formula for the various measure dimensions of attractors associated with contracting similitudes is given. An example is constructed showing that for more general affine maps the various measure dimensions are not always equal.Communicated by Michael F. Barnsley. |
| Keywords: | AMS classification" target="_blank">AMS classification 26A 28A 41A 44A |
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