3 papers
math.DS2024
A note on the Kronecker--Weyl equidistribution theorem
J. Beck, W. W. L. Chen, Y. Yang
We study the relationship between the discrete and the continuous versions of the Kronecker--Weyl equidistribution theorem, as well as their possible extension to manifolds in high…
math.DS2024
Billiards in polyhedra: a method to convert 2-dimensional uniformity to 3-dimensional uniformity
J. Beck, W. W. L. Chen, Y. Yang
The class of 2-dimensional non-integrable flat dynamical systems has a rather extensive literature with many deep results, but the methods developed for this type of problems, both…
math.DS2024
Irreversible and dissipative systems
J. Beck, W. W. L. Chen, Y. Yang
We study some new dynamical systems where the corresponding piecewise linear flow is neither time reversible nor measure preserving. We create a dissipative system by starting with…