Séminaire Ernest

The concept of synchronization in automata theory is a formalization of the idea of returning control over an automaton in a situation where its current [...]

Je vais présenter des arguments qui montrent la disjonction de Mœbius dans tous les modèles uniquement ergodiques des transformations à spectre discret, et au-delà. Moebius [...]

Il est bien connu, depuis les travaux de Mauduit et Rivat, que la suite des nombres premiers est orthogonale à la suite de Thue-Morse et [...]

We develop the asymptotic formulas for correlations Σ{n}≤{x}{f}1({P}1({n})) {f}2({P}2({n})) ... {f}{m}({P}{m}({n})) where {f}1, ..., {f}{m} are bounded "pretentious" multiplicative functions, under certain natural hypotheses. We [...]

Two words u and v are k-abelian equivalent if, for each w of legth at most k, the number of occurrences of w in u [...]

In this talk we describe some progress on the following problem of A. Sárközy. For any integer K≥1, let s(K) be the smallest integer such [...]