Renormalization in the Hénon family, I: Universality but non-rigidity AD Carvalho, M Lyubich, M Martens Journal of Statistical Physics 121 (5), 611-669, 2005 | 102 | 2005 |
Pruning fronts and the formation of horseshoes A de Carvalho Ergodic theory and dynamical systems 19 (4), 851-894, 1999 | 54 | 1999 |
How to prune a horseshoe A de Carvalho, T Hall Nonlinearity 15 (3), R19, 2002 | 49 | 2002 |
Unimodal generalized pseudo-Anosov maps A de Carvalho, T Hall Geometry & Topology 8 (3), 1127-1188, 2004 | 38 | 2004 |
The forcing relation for horseshoe braid types A Carvalho, T Hall Experimental mathematics 11 (2), 271-288, 2002 | 35 | 2002 |
New rotation sets in a family of torus homeomorphisms P Boyland, A de Carvalho, T Hall Inventiones mathematicae 204, 895-937, 2016 | 32 | 2016 |
Pruning theory and Thurston’s classification of surface homeomorphisms A de Carvalho, T Hall Journal of the European Mathematical Society 3 (4), 287-333, 2001 | 30 | 2001 |
Braid forcing and star-shaped train tracks A de Carvalho, T Hall Topology 43 (2), 247-287, 2004 | 26 | 2004 |
Inverse limits as attractors in parameterized families P Boyland, A de Carvalho, T Hall Bulletin of the London Mathematical Society 45 (5), 1075-1085, 2013 | 23 | 2013 |
Extensions, quotients and generalized pseudo-Anosov maps A de Carvalho Graphs and patterns in mathematics and theoretical physics 73, 315-338, 2005 | 21 | 2005 |
Monotone quotients of surface diffeomorphisms A de Carvalho, M Paternain arXiv preprint math/0211050, 2002 | 16 | 2002 |
Conjugacies between horseshoe braids A de Carvalho, T Hall Nonlinearity 16 (4), 1329, 2003 | 15 | 2003 |
Piecewise linear model for tree maps M Baillif, A de Carvalho International Journal of Bifurcation and Chaos 11 (12), 3163-3169, 2001 | 14 | 2001 |
Natural extensions of unimodal maps: prime ends of planar embeddings and semi-conjugacy to sphere homeomorphisms P Boyland, A de Carvalho, T Hall arXiv preprint arXiv:1704.06624, 2017 | 13 | 2017 |
On digit frequencies in 𝛽-expansions P Boyland, A de Carvalho, T Hall Transactions of the American Mathematical Society 368 (12), 8633-8674, 2016 | 13 | 2016 |
Paper folding, Riemann surfaces and convergence of pseudo-Anosov sequences A de Carvalho, T Hall Geometry & Topology 16 (4), 1881-1966, 2012 | 12 | 2012 |
Decoration invariants for horseshoe braids A de Carvalho, T Hall arXiv preprint arXiv:0808.3078, 2008 | 8 | 2008 |
Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries P Boyland, A de Carvalho, T Hall Geometry & Topology 25 (1), 111-228, 2021 | 7 | 2021 |
Itineraries for inverse limits of tent maps: a backward view P Boyland, A de Carvalho, T Hall Topology and its Applications 232, 1-12, 2017 | 7 | 2017 |
Differentiable pruning and the hyperbolic pruning front conjecture A de Carvalho, V Mendoza Preprint, 2014 | 6 | 2014 |