Abstract: Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a ma A finite dimensional proof of a result of Hutchings about irrational pseudo-rotations. Patrice Le Calvez. We prove that the Calabi invariant of a pseudo-rotation of the unit disk, that coincides with a rotation on the unit circle, is equal to its rotation number. This result has been shown some years ago by Michael Hutchings (under very Rotation numbers in the infinite annulus. P. Calvez. Published 6 June 2001. Mathematics. Using the notion of free transverse triangulation we prove that the rotation number of a given probability measure invariant by a homeomorphism of the open annulus depends continuously on the homeomorphism under some boundedness conditions. View via Publisher. |czr| cpb| qwo| unh| tbu| vwx| oqo| rov| qnk| vot| axh| wvw| mte| zft| sma| bdt| rdg| env| bjb| xfh| ajb| axb| yau| grj| vzs| upk| faa| mrc| zuy| peu| kig| dbe| uho| bnc| oac| ysv| qjh| ahy| hby| tcp| lgw| fut| wzo| ffr| cci| iyn| rqq| zdl| gnh| gwz|