2 citations · 3 across the 9 of their papers we have counts for
11 papers
The isomorphism problem for group actions
Matthew Foreman, Benjamin Weiss
We discuss the isomorphism problem for ergodic actions of locally compact groups. In particular we show that the conjugacy relation is not Borel for ergodic measure preserving acti…
Where do you put a telescope? How do you understand Covid concentrations?
Matthew Foreman
This note discusses dynamical systems-systems that evolve through time. We start with two contemporary examples illustrating the qualitative and the quantitative behavior of dynami…
The complexity of the Structure and Classification of Dynamical Systems
Matthew Foreman
This is an expository paper about the Borel complexity of structure and classification theorems. It sorts several classical problems relative to known benchmarks of complexity. As…
Naive Descriptive Set Theory
Matthew Foreman
The paper is a naive introduction to descriptive set theory. It is aimed mathematicians without a background in logic. The goal is to provide the basic facts used for applications…
Odometer Based Systems
Matthew Foreman, Benjamin Weiss
Construction sequences are a general method of building symbolic shifts that capture cut-and-stack constructions and are general enough to give symbolic representations of Anosov-K…
Godel Diffeomorphisms
Matthew Foreman
A basic problem in smooth dynamics is determining if a system can be distinguished from its inverse, i.e., whether a smooth diffeomorphism is isomorphic to . We show th…