Stephen Jackson

activity

20172023

most citedCardinality of Wellordered Disjoint Unions of Quotients of Smooth Equivalence Relations

2 citations · 5 across the 11 of their papers we have counts for

collaborators

13 papers

math.LO2023

The descriptive complexity of the set of Poisson generic numbers

Verónica Becher, Stephen Jackson, Dominik Kwietniak +1

Let $b \geq 2$ be an integer. We show that the set of real numbers that are Poisson generic in base $b$ is $Π_{3}^{0}$ -complete in the Borel hierarchy of subsets of the real l…

math.LO2022

Complexity and Ramsey Largeness of Sets of Oracles Separating Complexity Classes

Alex Creiner, Stephen Jackson

We prove two sets of results concerning computational complexity classes. The first concerns a variation of the random oracle hypothesis posed by Bennett and Gill after they showed…

math.LO2021

The no- $β$ McMullen game and the perfect set property

Logan Crone, Lior Fishman, Stephen Jackson

Given a target set $A \subseteq R^{d}$ and a real number $β \in (0, 1)$ , McMullen introduced the notion of $A$ being an absolutely $β$ -winning set. This involves a two player g…

math.NT2021

On the existence of numbers with matching continued fraction and decimal expansions

Pieter Allaart, Stephen Jackson, Taylor Jones +1

A Trott number is a number $x \in (0, 1)$ whose continued fraction expansion is equal to its base $b$ expansion for a given base $b$ , in the following sense: If $x = [0; a_{1}, a_{2}, \dots]$ ,…

math.DS2020

A non-Borel special alpha-limit set in the square

Steve Jackson, Bill Mance, Samuel Roth

We consider the complexity of special $α$ -limit sets, a kind of backward limit set for non-invertible dynamical systems. We show that these sets are always analytic, but not necess…

math.LO2020★ 1 cited

Hausdorff Dimension Regularity Properties and Games