作者：Dmitry Dolgopyat , Bassam Fayad , Ilya Vinogradov 来源：[J].CEDRAM 摘要：We study the distribution modulo $1$ of the values taken on the integers of $r$ linear forms in $d$ variables with random coefficients. We obtain quenched and annealed central limit theorems for the number of simultaneous hits into shrinking targets of radii $n^{-{r}/{d}}$. By th...
 作者：Ilia Smilga 来源：[J].Annales de l'institut Fourier(IF 0.527), 2016, Vol.66 (2), pp.785-831CEDRAM 摘要：For any noncompact semisimple real Lie group $G$, we construct a group of affine transformations of its Lie algebra $\mathfrak{g}$ whose linear part is Zariski-dense in $\operatorname{Ad} G$ and which is free, nonabelian and acts properly discontinuously on $\mathfrak{g}$.
 作者：Vincent Pigno , Christopher Pinner 来源：[J].Journal de théorie des nombres de Bordeaux, 2016, Vol.28 (1), pp.39-53CEDRAM 摘要：We show that the binomial and related multiplicative character sums
 作者：Hart F. Smith , Maciej Zworski 来源：[J].Annales de l'institut Fourier(IF 0.527), 2016, Vol.66 (2), pp.455-475CEDRAM 摘要：We show that, in odd dimensions, any real valued, bounded potential of compact support has at least one scattering resonance. In dimensions 3 and greater this was previously known only for sufficiently smooth potentials. The proof is based on an inverse result, which shows that t...
 作者：Raimundo Araújo dos Santos , Maria A.B. Hohlenwerger , Osamu Saeki ... 来源：[J].Annales de l'institut Fourier(IF 0.527), 2016, Vol.66 (1), pp.83-104CEDRAM 摘要：We use the topology of configuration spaces to give a characterization of Neuwirth–Stallings pairs $(S^5, K)$ with $\dim K = 2$. As a consequence, we construct polynomial map germs $(\mathbb{R}^{6},0) \rightarrow (\mathbb{R}^{3},0)$ with an isolated singularity at the origin...
 作者：Fabrizio Andreatta , Carlo Gasbarri 来源：[J].Journal de théorie des nombres de Bordeaux, 2016, Vol.28 (1), pp.125-143CEDRAM 摘要：We show that one can always deform torsors over smooth curves under finite and commutative group schemes under the assumption that their Lie algebras have dimension less or equal to $1$ and that the torsor does not arise from a proper subgroup. We apply this result to the st...
 作者：Matthias Leuenberger 来源：[J].Annales de l'institut Fourier(IF 0.527), 2016, Vol.66 (2), pp.433-454CEDRAM 摘要：We give the classification of all complete algebraic vector fields on Danielewski surfaces (smooth surfaces given by $xy=p(z)$). We use the fact that for each such vector field there exists a certain fibration that is preserved under its flow. In order to get the explicit list of...
 作者：Laura Geatti , Andrea Iannuzzi 来源：[J].Annales de l'institut Fourier(IF 0.527), 2016, Vol.66 (1), pp.143-174CEDRAM 摘要：In this paper we investigate invariant domains in $\, \Xi ^+$, a distinguished $\,G$-invariant, Stein domain in the complexification of an irreducible Hermitian symmetric space $\,G/K$. The domain $\,\Xi ^+$, recently introduced by Krötz and Opdam, contains the crown domain ...
 作者：Alain Togbé 来源：[J].Journal de théorie des nombres de Bordeaux, 2016, Vol.28 (1), pp.287-288CEDRAM 摘要：In our original paper [4], Lemma 2.2 was not properly proved. This was done by Lee–Louboutin [3]. The gap doesn’t affect the final result of the paper.
 作者：Christophe Breuil 来源：[J].Annales de l'institut Fourier(IF 0.527), 2016, Vol.66 (2), pp.633-685CEDRAM 摘要：Let $L$ be a finite extension of ${\mathbf{Q}}_p$ and $n$ a positive integer. To each Hodge filtration with distinct Hodge-Tate weights on an $n$-dimensional sufficiently generic representation of the Weil-Deligne group of $L$, we associate a semi-simple finite length locally \${\...