4 papers
On conservative sequences and their application to ergodic multiplier problems
Madeleine Elyze, Alexander Kastner, Juan Ortiz Rhoton +2
The conservative sequence of a set under a transformation is the set of all such that . By studying these sequences, we…
Partially Bounded Transformations have Trivial Centralizer
Johann Gaebler, Alexander Kastner, Cesar E. Silva +2
We prove that for infinite rank-one transformations satisfying a property called "partial boundedness," the only commuting transformations are powers of the original transformation…
Generalized bipyramids and hyperbolic volumes of tiling links
Colin Adams, Aaron Calderon, Xinyi Jiang +4
We present explicit geometric decompositions of the complement of tiling links, which are alternating links whose projection graphs are uniform tilings of the 2-sphere, the Euclide…
Volume and Determinant Densities of Hyperbolic Rational Links
Colin Adams, Aaron Calderon, Xinyi Jiang +4
The volume density of a hyperbolic link is defined as the ratio of hyperbolic volume to crossing number. We study its properties and a closely-related invariant called the determin…