Almost surely recurrent motions in the Euclidean space
@inproceedings{Kunze2017AlmostSR, title={Almost surely recurrent motions in the Euclidean space}, author={Markus Kunze and Rafael Ortega}, year={2017} }
We will show that measure-preserving transformations of Rn are recurrent if they satisfy a certain growth condition depending on the dimension n. Moreover, it is also shown that this condition is sharp.
References
SHOWING 1-3 OF 3 REFERENCES
A symplectic fixed point theorem on open manifolds
- Mathematics
- 1982
In 1968 Bourgin proved that every measure-preserving, orientationpreserving homeomorphism of the open disk has a fixed point, and he asked whether such a result held in higher dimensions. Asimov, in…
Lectures on Bouncing Balls, lecture notes for a course in Murcia, 2013; available at http://www2.math.umd.edu/∼dolgop/BBNotes.pdf
- 2013
Homeomorphisms of two-dimensional manifolds
- Houston J. Math. 11,
- 1985