Probabilistic and algebraic aspects of smooth dynamical systems
Density Matrix Renormalization Group approach to non-Hermitian quantum many-body s...
| Full text | |
| Author(s): |
Clark, Trevor
;
Gouveia, Marcio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 42, n. 10, p. 42-pg., 2021-09-03. |
| Abstract | |
A gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which arise in the study of certain higher dimensional flows, for example the Lorenz flow and the Cherry flow. In this paper, we prove hyperbolicity of renormalization acting on C-3 dissipative gap mappings, and show that the topological conjugacy classes of infinitely renormalizable gap mappings are C-1 manifolds. (AU) | |
| FAPESP's process: | 17/25955-4 - Rigidity of dissipative Lorenz maps with criticality |
| Grantee: | Márcio Ricardo Alves Gouveia |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |