# Alex Simpson - Lab lunch 2011

**Arithmetic with random real numbers:**

The talk will consider the behaviour of arithmetic operations

on random real numbers, represented as infinite sequences of

randomly generated bits. One question is: when does an operation on

real numbers preserve randomness? Different theoretical models

of randomness give different answers to this question, which

also seems interesting to explore from a practical perspective. For

the latter, one implements operations on real numbers as stream

transducers, and applies randomness tests to the outputs.

A 4th-year undergraduate student, Diana Bicazan, is doing this

for her final-year project, and I will discuss some issues that

have arisen in her work.