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
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…
math.DS2021
Generalization of a density theorem of Khinchin and diophantine approximation
J. Beck, W. W. L. Chen
The continuous version of a fundamental result of Khinchin says that a half-infinite torus line in the unit square exhibits superdensity, which is a best form of time-qua…