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作者:Dmitry Dolgopyat , Bassam Fayad , Ilya Vinogradov
来源:[J].Journal de l'École polytechnique — Mathématiques, 2017CEDRAM
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 ${\...

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