# Selected Articles

 Tipping Points in 1-Dimensional Schelling Models with Switching Agents George Barmpalias, Richard Elwes and Andy Lewis-Pye Journal of Statistical Physics (2015) 158:806-852 Summary  PDF  BibTex Exact pairs for the ideal of the $K$-trivial sequences in the Turing degrees George Barmpalias and Rod Downey Journal of Symbolic Logic Volume 79, Issue 03, September 2014, pp 676 - 692 Summary  PDF  BibTex Universal computably enumerable sets and initial segment prefix-free complexity George Barmpalias Information and Computation. 233 (2013) 41-59 Summary  PDF  BibTex The typical Turing degree George Barmpalias, A. R. Day and Andrew E.M. Lewis Proc. Lond. Math. Soc. 109 (1). pp. 1-39. Summary  PDF  BibTex Universality probability of a prefix-free machine George Barmpalias and David L. Dowe Philosophical Transactions of the Royal Society A 2012 370, 3488-3511 Summary  PDF  BibTex Chaitin's halting probability and the compression of strings using oracles George Barmpalias and Andrew E.M. Lewis Proc. R. Soc. A (2011) 467, 2912-2926. Summary  PDF  BibTex Digital morphogenesis via Schelling segregation George Barmpalias, Richard Elwes and Andy Lewis-Pye FOCS 2014, 55th Annual IEEE Symposium on Foundations of Computer Science, Oct. 18-21, Philadelphia. Summary  PDF  BibTex Also see Elwes' blog post and our poster which won the Royal Society Picturing Science competition.