Simultane diophantische Approximationen abhängiger Größen in mehreren Metriken
Simultaneous Diophantine approximation and asymptotic formulae on manifolds
Simultaneous inhomogeneous Diophantine approximation of the values of integral polynomials with respect to Archimedean and non-Archimedean valuations
We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve with respect to the different valuations. It is an extension of the author’s earlier results.
Substitutions on two letters, cutting segments and their projections
In this paper we study the structure of the projections of the finite cutting segments corresponding to unimodular substitutions over a two-letter alphabet. We show that such a projection is a block of letters if and only if the substitution is Sturmian. Applying the procedure of projecting the cutting segments corresponding to a Christoffel substitution twice results in the original substitution. This induces a duality on the set of Christoffel substitutions.
Sur les approximations diophantiennes simultanées asymptotiques
Sur les suites eutaxiques
Symmetric cocycles and classical exponential sums
Systems of linear forms and covers for star bodies