How do symbols affect 3-to 4-year-olds' executive function? Evidence from a reverse-contingency task. Symbols and executive function 2 Abstract In two experiments 330 3-to 4-year-olds competed for stickers in a game where the optimal response strategy was to point to an empty box that their opponent would receive in order to obtain a baited box for themselves. When the baited box contained stic...

Recent interest in the Kashaev-Murakami-Murakami hyperbolic volume conjecture has made it seem important to be able to understand the asymptotic behaviour of certain special functions arising from representation theory — for example, of the quantum 6j -symbols for SU(2). In 1998 I worked out the asymptotic behaviour of the classical 6j -symbols, proving a formula involving the geometry of a Euc...