ALMOST SURELY RECURRENT MOTIONS IN THE EUCLIDEAN SPACE

作者：Kunze Markus^*; Ortega Rafael

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(10): 4345-4351.

DOI：10.1090/proc/13556

• Discrete dynamical systems
• infinite measure space
• recurrence

We will show that measure-preserving transformations of R-n are recurrent if they satisfy a certain growth condition depending on the dimension n. Moreover, it is also shown that this condition is sharp.

• 出版日期2017-10