Dimension of the attractors associated to autonomous and nonautonomous dynamical s...
Immersions and isomorphisms between spaces of continuous functions
Stability of subspaces, complemented subspaces and isomorphisms in Banach Spaces
| Full text | |
| Author(s): |
Siqueira, Carlos
Total Authors: 1
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. N/A, p. 13-pg., 2022-10-28. |
| Abstract | |
We show that if ,Q > 1 is a rational number and the Julia set J of the holomorphic correspondence z beta + c is a locally eventually onto hyperbolic repeller, then the Hausdorff dimension of J is bounded from above by the zero of the associated pressure function. As a consequence, we conclude that the Julia set of the correspondence has zero Lebesgue measure for parameters close to zero, whenever q2 < p and ,Q = p/q in lowest terms. (AU) | |
| FAPESP's process: | 16/16012-6 - Renormalizable correspondences and Hausdorff dimension |
| Grantee: | Carlos Alberto Siqueira Lima |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |