Almost sure rotation number of circle endomorphisms
Crovisier, Sylvain
HAL, hal-00538141 / Harvested from HAL
Text on HAL
We introduce the almost sure rotation number for some circle endomorphisms f. From ergodic theory, this extends the classical rotation number. By restriction to a particular piecewise linear family, we show that the almost sure rotation number has Hölder variations with f and is irrational on a full Lebesgue measure set of parameters.
Publié le : 2004-07-05
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00538141,
     author = {Crovisier, Sylvain},
     title = {Almost sure rotation number of circle endomorphisms},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00538141}
}

Crovisier, Sylvain. Almost sure rotation number of circle endomorphisms. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00538141/