3 papers
math.HO2022
Computer experiments and visualization in mathematics and physics. A subjective short walk among some historical examples
J. -R. Chazottes, M. Monticelli
In this short essay, we show how computer experiments, and especially visualization, allowed for the investigation and discovery of phenomena which would have passed unnoticed. We…
math.DS2007
Epsilon-Distortion Complexity for Cantor Sets
C. Bonanno, J. -R. Chazottes, P. Collet
We define the epsilon-distortion complexity of a set as the shortest program, running on a universal Turing machine, which produces this set at the precision epsilon in the sense o…
math.DS2003
Local rates of Poincare recurrence for rotations and weak mixing
JR Chazottes, F. Durand
We study the lower and upper local rates of Poincare recurrence of rotations on the circle by means of symbolic dynamics. As a consequence, we show that if the lower rate of Poinca…