作者：Andrzej Rosłanowski , Vyacheslav V. Rykov 来源：[J].Proceedings of the American Mathematical Society, Series B, 2018, Vol.5 (8), pp.73-84AMS 摘要：We show that, consistently, there is a Borel set which has uncountably many pairwise very non-disjoint translations, but does not allow a perfect set of such translations.
 作者：Veronika Ertl , Johannes Sprang 来源：[J].Proceedings of the American Mathematical Society, Series B, 2018, Vol.5 (7), pp.64-72AMS 摘要：The goal of this short note is to extend a result by Christopher Davis and David Zureick-Brown on the comparison between integral Monsky-Washnitzer cohomology and overconvergent de Rham-Witt cohomology for a smooth variety over a perfect field of positive characteristic $p$...
 作者：Alexey Petukhov 来源：[J].Representation Theory of the American Mathematical Society, 2018, Vol.22 (8), pp.223-245AMS 摘要：Let $\frak g$ be a simple finite-dimensional Lie algebra over an algebraically closed field $\mathbb{F}$ of characteristic 0. We denote by $\mathrm {U}(\frak g)$ the universal enveloping algebra of $\frak g$. To any nilpotent element $e\in \frak g$ one can attach an associat...
 作者：D. Armentano , J-M. Azaïs , F. Dalmao ... 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (12), pp.5437-5449AMS 摘要：We obtain the asymptotic variance, as the degree goes to infinity, of the normalized number of real roots of a square Kostlan-Shub-Smale random polynomial system of any size. Our main tools are the Kac-Rice formula for the second factorial moment of the number of roots and a Herm...
 作者：M. Zippin 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (12), pp.5257-5262AMS 摘要：E. Casini, E. Miglierina, L. Piasecki, and L. Veselý have recently constructed an example of an $L_{1}$-predual hyperplane $W$ of $c$ which does not contain a subspace isometric to $c$, in spite of the fact that the closed unit ball of $W$ contains an extreme point. Thi...
 作者：Shmuel Friedland , Todd Kemp 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (12), pp.5035-5049AMS 摘要：The geometric measure of entanglement $E$ of an $m$ qubit quantum state has maximum value bounded above by $m$. In previous work of Gross, Flammia, and Eisert, it was shown that $E \ge m-O(\log m)$ with high probability as $m\to \infty$. They showed, as a consequence, that ...
 作者：Jonathan David Evans , Yankı Lekili 来源：[J].Journal of the American Mathematical Society(IF 3.567), 2018, Vol.32 (1), pp.119-162AMS 摘要：Let $G$ be a compact Lie group, and let $k$ be a field of characteristic $p \geq 0$ such that $H^*(G)$ has no $p$-torsion if $p>0$. We show that a free Lagrangian orbit of a Hamiltonian $G$-action on a compact, monotone, symplectic manifold $X$ split-generates an idempote...
 作者：Marta Calanchi , Eugenio Massa , Bernhard Ruf 来源：[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (12), pp.5243-5256AMS 摘要：We discuss some Trudinger-Moser inequalities with weighted Sobolev norms. Suitable logarithmic weights in these norms allow an improvement in the maximal growth for integrability when one restricts to radial functions. The main results concern the application of these inequaliti...
 作者：Jon Chaika , Alex Wright 来源：[J].Journal of the American Mathematical Society(IF 3.567), 2018, Vol.32 (1), pp.81-117AMS 摘要：We construct a smooth, area preserving, mixing flow with finitely many nondegenerate fixed points and no saddle connections on a closed surface of genus $5$. This resolves a problem that has been open for four decades.
 作者：W. Patrick Hooper 来源：[J].Conformal Geometry and Dynamics of the American Mathematical Society, 2018, Vol.22 (11), pp.235-270AMS 摘要：We define a moduli space of translation structures on the open topological disk with a basepoint and endow it with a locally-compact metrizable topology. We call this the immersive topology, because it is defined using the concept of immersions: continuous maps between subsets of...