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.
