seminar: Piecewise contractions defined by iterated function systems

speaker: Arnaldo Nogueira (Institut de Mathematiques de Marseille)

abstract: We are interested in the asymptotical behavior of piecewise contractions of the interval (PCs). A map f:0,1)→[0,1) is an {\it n interval PC} if there exists a partition of the interval [0,1) into subintervals J 1 ,…,J n such that each restriction f→(0,1) is a Lipschitz-continuous contraction. Setting x 0 =0 and x n =1 , we prove that for Lebesgue almost every (n−1) -dimensional point (x 1 ,...,x n−1 ) with 0
timetable:
Thu 26 Feb, 17:00 - 18:00, Sala Conferenze Centro De Giorgi
<< Go back