Sophie MacDonald

A number of results in symbolic dynamics, principally Krieger’s embedding theorem and Boyle’s lower-entropy factor theorem, give conditions for the existence of an injective or surjecive sliding block code from one subshift to another, in terms of...

Classical results of Dobrushin and Lanford-Ruelle establish, in rough terms, that for a local energy function on a subshift without too much long-range order, the translation-invariant Gibbs measures are precisely the equilibrium measures. There are...