New Trends in One-Dimensional Dynamics : in honour of Welington de Melo on the occasion of his 70th birthday, IMPA 2016, Rio de Janeiro, Brazil, November 14-17

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field. Front Matter ....Pages i-viii Welington de Melo and Jacob Palis: Their First Meeting, Some of Their Work on Structural Stability and a Lifetime of Friendship (Jacob Palis, Fernando Lenarduzzi)....Pages 1-5 Welington de Melo (1946–2016) (Edson de Faria, Sebastian van Strien)....Pages 7-20 Some Monoids of Pisot Matrices (Artur Avila, Vincent Delecroix)....Pages 21-30 On the Statistical Attractors and Attracting Cantor Sets for Piecewise Smooth Maps (P. Brandão, J. Palis, V. Pinheiro)....Pages 31-50 Correspondences in Complex Dynamics (Shaun Bullett, Luna Lomonaco, Carlos Siqueira)....Pages 51-75 Braid Equivalence in the Hénon Family I (A. de Carvalho, T. Hall, P. Hazard)....Pages 77-111 Empiric Stochastic Stability of Physical and Pseudo-physical Measures (Eleonora Catsigeras)....Pages 113-136 Blender-horseshoes in Center-unstable Hénon-like Families (Lorenzo J. Díaz, Sebastián A. Pérez)....Pages 137-163 On Slow Growth and Entropy-Type Invariants (Edson de Faria, Peter Hazard, Charles Tresser)....Pages 165-181 Mixing Properties in Coded Systems (Jeremias Epperlein, Dominik Kwietniak, Piotr Oprocha)....Pages 183-200 Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof (Genadi Levin, Weixiao Shen, Sebastian van Strien)....Pages 201-220 Teichmüller Space of Fibonacci Maps (Mikhail Lyubich)....Pages 221-237 On the Three-Legged Accessibility Property (Jana Rodriguez Hertz, Raúl Ures)....Pages 239-248 Adapted Metrics for Codimension One Singular Hyperbolic Flows (Luciana Salgado, Vinicius Coelho)....Pages 249-269 On Conformal Measures and Harmonic Functions for Group Extensions (Manuel Stadlbauer)....Pages 271-299 The Boundaries of Golden-Mean Siegel Disks in the Complex Quadratic Hénon Family Are Not Smooth (Michael Yampolsky, Jonguk Yang)....Pages 301-324 Back Matter ....Pages 325-333