New Trends in One-Dimensional Dynamics
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.
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J. Palis and F. Lenarduzzi, Welington de Melo and Jacob Palis: their first meeting, some of their work on structural stability and a lifetime of friendship.- E. de Faria and S. van Strien, Welington de Melo (1946-2016).- A. Avila and V. Delecroix, Some monoids of Pisot matrices.- P. Brandao, J. Palis, V. Pinheiro, On the statistical attractors and attracting Cantor sets for piecewise smooth maps.- S. Bullett, L. Lomonaco and C. Siqueira, Correspondences in complex dynamics.- A. de Carvalho and T. Hall and P. Hazard, Braid quivalence in the Henon Family I.- E. Catsigeras, Empiric stochastic stability of physical and pseudophysical measures.- L. J. Diaz and S. A. Perez, Blender-horseshoes in center-unstable Henon-like families.- E. de Faria, P. Hazard and C. Tresser; Growth, topological entropy, slow entropy, equicontinuity, topological complexity.- J. Epperlein, D. Kwietniak, P. Oprocha, Mixing properties in coded systems.- G. Levin, W. Shen and S. van Strien, Transversality forcritical relations of families of rational maps: an elementary proof.- J. Rodriguez Hertz, R. Ures, On the three-legged accessibility property.- L. Salgado, V. Coelho, Adapted metrics for codimension one singular hyperbolic flows.- M. Stadlbauer, On conformal measures and harmonic functions for group extensions.- M. Yampolsky and J. Yang, The boundaries of golden-mean Siegel disks in the complex quadratic Henon family are not smooth.- Wellington's photos from childhood to academic life.