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

Description

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