ISSN 0024-6115 Proceedings of the London Mathematical Society Third Series VOLUME 104 = .2012 Edited by J. E. Cremona D. Preiss FRS EDITORIAL ADVISORY BOARD bana-Champaign CONTENT Preprojective tomorphisms ecurrences, and operator alg ora\ analytic ma Tom, 1 and boundary data maps and Krei GILCH, LORENZ A subordinate BR rownis RIHARA, MASATO and SOUNDARARAJAN ; ing smooth solutiotno sth e CHING, HUNG and SHIMAKURA IRO} 1tic spaces and holom central charge 24 DONGHI and SAKUMA. MAKO Random wa: lks in Wevl Acvheanmbgeerrs sien loops on 2-bridge spheres SANGH) <, ROGERS. KEITH see Lecouve see Dong, Chongyir é EKSANDER, see Glover SIC, DRAGAN,s ee Glover, He MASSER, D., see Derksen, H MATHAS, ANDREW, see Hu, Jun MATTHIESEN, LILIAN, Correlatior MaTul, HiROKI, Homology an« groupso f étale groupoids on totally disconnected spaces MERENKOV, SERGEI, Planar relative Schottky sets and 1 quasisymmetric mapsE ... MONTALBAN, ANTONIO and SHORE, RICHARD limits of determinacy in second-order arithmeti« MULLER, SEBASTIAN, see Candellero, E] ation and decomposition of the Witt-Burnside ring and Burnside ring and TROYANSKI Cluster characte¢ rs II: a multiplication formula s and WERNER, ELISABETH M., Relative entropy of cone Lecouvey. Cédri few prime factors g, Hung ;oulwen Antonio igrangian Grassmannian and second-order PDE.. ns of curves of genus 2 norm tori function fiel