18 citations · 47 across the 13 of their papers we have counts for
14 papers
On regulated partitions
Su Gao, Steve Jackson
This paper considers the combinatorics of continuous and Borel rectangular partitions of free actions of on -dimensional Polish spaces, specifically the free part…
Borel complexity of sets of points with prescribed Birkhoff averages in Polish dynamical systems with a specification property
Konrad Deka, Steve Jackson, Dominik Kwietniak +1
We study the descriptive complexity of sets of points defined by placing restrictions on statistical behaviour of their orbits in dynamical systems on Polish spaces. A particular e…
On the Borel complexity of continued fraction normal, absolutely abnormal numbers
Steve Jackson, Bill Mance, Joseph Vandehey
We show that normality for continued fractions expansions and normality for base- expansions are maximally logically separate. In particular, the set of numbers that are normal…
Descriptive complexity in Cantor series
Dylain Airey, Steve Jackson, Bill Mance
A Cantor series expansion for a real number with respect to a basic sequence , where , is a representation of the form $x=a_0 + \sum_{i=1}^\infty…
Borel asymptotic dimension and hyperfinite equivalence relations
Clinton Conley, Steve Jackson, Andrew Marks +2
A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is…
Borel complexity of sets of normal numbers via generic points in subshifts with specification
Dylan Airey, Steve Jackson, Dominik Kwietniak +1
We study the Borel complexity of sets of normal numbers in several numeration systems. Taking a dynamical point of view, we offer a unified treatment for continued fraction expansi…