Fractales en el grupo de Heinsenberg

Referencias

[1] RUBIANO, G.N. Fractales para profanos. Universidad Nal. de Colombia, sede Bogot´a, 2002. [2] HUTCHINSON, J.E. Fractals and sel-similarity. Indiana University Journal of Mathematics 30 (1981),713–747. [3] FALCONER, K.J. The geometry of fractal sets. Cambridge University Press, 1986. [4] BALOGH, Z.M., HOFER-ISENEGGER, R., AND TYSON, J.T. Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group. Febrero 2, 2005 [5] BALOGH, Z.M., RICKLY, M., AND SERRA-CASSANO, F. Comparison of Hausdorff measures with respect to the Euclidean and Heisenberg metric. Publ. Mat. 47 (2003), 237– 259. [6] BALOGH, Z.M., AND TYSON, J.T. Hausdorff dimensions of self-similar and self-affine fractals in the Heisenberg group. Marzo 1, 2004. [7] PENAGOS, G. I. Sistemas din´amicos asociados con fractales. Proyecto de grado, Pontificia Universidad Javeriana de Colombia, sede Bogot´a 1999. [8] GERALD, A. E. Measures, topology, and fractal geometry. Springer, 1990. [9] PANSU, P. M´etriques de Carnot–Carath´eodory et quasiisom´etries des espaces sym´etriques de rang un. Ann. of Math. (2) 129 (1989), 1–60. [10] FEDERER, H. Geometric measure theory. Springer, 1969. [11] MORAN, P. A. P. Additive functions of intervals and Hausdorff measure. Proc. Cambridge Philos. Soc.42 (1946), 15–23. [12] GROMOV, M. Carnot–Carath´eodory spaces seen from within. In sub-Riemannian Geometry, vol. 144 of Progress in Mathematics. Birkh¨auser, Basel, 1996, pp. 79–323. [13] KIGAMI, J. Analysis on fractals, vol. 143 of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge, 2001. [14] MATTILA, P. Geometry of sets and measures in Euclidean spaces, vol. 44 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 1995.