3 papers
math.DS2025
Multidimensional statistics for finite orbits of generalised continued fractions
Valérie Berthé, Stephen Cantrell, Jungwon Lee +1
We statistically compare the relationships between frequencies of digits in continued fraction expansions of typical rational points in the unit interval and higher dimensional gen…
math.DS2025
Sparse spectrally rigid sets for negatively curved manifolds
Stephen Cantrell
Suppose that is a compact Riemannian manifold with strictly negative sectional curvatures. A subset of conjugacy classes is call…
math.DS2025
Counting statistics for geodesics on flat surfaces
Stephen Cantrell, Mark Pollicott
We study counting limit laws that compare length functions on infinite graphs. We then apply these results to flat surfaces to obtain a statistical comparison between the geometric…