Table of contents : An introduction to finite automata on infinite words....Pages 1-17 Deterministic and non ambiguous rational ω-languages....Pages 18-27 Ensembles reconnaissables de mots bi-inpinis Limite et déterminisme....Pages 28-46 Automates boustrophedon sur des mots infinis....Pages 47-54 Star-free ω-languages and first order logic....Pages 55-67 A formal proof system for infinitary rational expressions....Pages 68-80 Logical formulas and four subclasses of ω-regular languages....Pages 81-88 Deterministic asynchronous automata....Pages 89-98 Alternating automata on infinite objects, determinacy and Rabin's theorem....Pages 99-107 The solution of two star-height problems for regular trees....Pages 108-117 Decidability of yield's equality for infinite regular trees....Pages 118-136 Languages and subshifts....Pages 137-146 The adherences of languages as topological spaces....Pages 147-163 Mots infinis en arithmetique....Pages 164-171 Kth power-free codes....Pages 172-187 On various classes of infinite words obtained by iterated mappings....Pages 188-197 Overlap free words on two symbols....Pages 198-206 Overlap-free sequences....Pages 207-215