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PARALLEL CHIP-FIRING ON THE COMPLETE GRAPH;DEVIL’S STAIRCASE AND POINCARE ROTATION NUMBER
PARALLEL CHIP-FIRING COMPLETE GRAPH DEVIL’S STAIRCASE POINCARE ROTATION NUMBER
2015/8/14
We study how parallel chip-firing on the complete graph Kn changes behavior as we vary the total number of chips. Surprisingly,the activity of the system, defined as the average number of firings per ...
Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number
circle diffeomorphism rotation number Liouville number conjugacy invariant measure fast approximation by conjugation
2011/9/23
Abstract: Given any Liouville number $\alpha$, it is shown that various subspaces are $C^\infty$-dense in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation...