8 citations · 12 across the 11 of their papers we have counts for
11 papers
Some Notes on Finite Sets
Chris Preston
These notes aim to give a gentle account to one approach to the theory of finite sets without making use of the natural numbers. They were written to be used as the basis for a stu…
Coupled one-dimensional dynamical systems
Chris Preston
This note aims to bring attention to a simple class of discrete dynamical systems exhibiting some complex behaviour. Each of these systems is defined as a self-mapping of the unit…
Iterates of mappings which are almost continuous and open
Chris Preston
This note presents an approach to studying the iterates of a mapping whose restriction to the complement of a finite set is continuous and open. The main examples to which the appr…
Computing with Equations
Chris Preston
The intention of these notes is to give a mathematical account of how I believe students could be taught to think about functional programming languages and to explain how such lan…
A Note on a Theorem of Parry
Chris Preston
A well-known result of Bill Parry shows that a topologically transitive continuous piecewise monotone mapping with positive topological entropy is conjugate to a uniformly piecewis…
Refining quasi-probability kernels
Chris Preston
We consider the problem of modifying a quasi-probability kernel in order to improve its properties without changing the set of measures whose conditional probabilities it specifies…