作者：Ali Tahzibi , Jiagang Yang 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (2), pp.1231-1251AMS 摘要：A deep analysis of the Lyapunov exponents for stationary sequence of matrices going back to Furstenberg, for more general linear cocycles by Ledrappier, and generalized to the context of non-linear cocycles by Avila and Viana, gives an invariance principle for invariant measures ...
 作者：Dragos Ghioca 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (2), pp.1151-1167AMS 摘要：Let $K$ be an algebraically closed field of prime characteristic $p$, let $N\in \mathbb{N}$, let $\Phi :\mathbb{G}_m^N\longrightarrow \mathbb{G}_m^N$ be a self-map defined over $K$, let $V\subset \mathbb{G}_m^N$ be a curve defined over $K$, and let $\alpha \in \mathbb{G}_...  作者：Alex Chirvasitu , S. Paul Smith 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (1), pp.279-333AMS 摘要：The 4-dimensional Sklyanin algebras, over$ \mathbb{C}$,$ A(E,\tau )$, are constructed from an elliptic curve$ E$and a translation automorphism$ \tau $of$ E$. The Klein vierergruppe$ \Gamma $acts as graded algebra automorphisms of$ A(E,\tau )$. There is also an action of...  作者：KÁroly J. BÖrÖczky , Ferenc Fodor , Daniel Hug 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (1), pp.505-548AMS 摘要：We strengthen the volume inequalities for$ L_p$zonoids of even isotropic measures and for their duals, which are originally due to Ball, Barthe, and Lutwak, Yang, and Zhang. The special case$ p=\infty $yields a stability version of the reverse isoperimetric inequality for cen...  作者：Stefan Gille 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (2), pp.1063-1082AMS 摘要：Using a recent result of Panin and Pimenov we show that several results, as for instance the linkage principle, in the algebraic theory of quadratic forms over fields also hold for quadratic forms over regular semilocal domains which contain a field of characteristic not 2. As an...  作者：João AraÚjo , Wolfram Bentz , Peter J. Cameron 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (1), pp.105-136AMS 摘要：The purpose of this paper is to advance our knowledge of two of the most classic and popular topics in transformation semigroups: automorphisms and the size of minimal generating sets. In order to do this, we examine the$ k$-homogeneous permutation groups (those which act transi...  作者：Lino Amorim , Junwu Tu 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (2), pp.1029-1061AMS 摘要：Given two cyclic$ A_\infty $-algebras$ A$and$ B$, in this paper we prove that there exists a cyclic$ A_\infty $-algebra structure on their tensor product$ A\otimes B$which is unique up to a cyclic$ A_\infty $-quasi-isomorphism. Furthermore, the Kontsevich class of$ A\oti...
 作者：Patrick Ingram 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (2), pp.1003-1027AMS 摘要：The canonical height associated to a polarized endomorphism of a projective variety, constructed by Call and Silverman and generalizing the Néron-Tate height on a polarized abelian variety, plays an important role in the arithmetic theory of dynamical systems. We generalize ...
 作者：David B. Rush 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (2), pp.923-947AMS 摘要：A combinatorial expression for the coefficient of the Schur function $s_{\lambda }$ in the expansion of the plethysm $p_{n/d}^d \circ s_{\mu }$ is given for all $d$ dividing $n$ for the cases in which $n=2$ or $\lambda$ is rectangular. In these cases, the coefficient ...
 作者：F. G. Garvan 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2018, Vol.371 (1), pp.199-248AMS 摘要：At the 1987 Ramanujan Centenary meeting Dyson asked for a coherent group-theoretical structure for Ramanujan's mock theta functions analogous to Hecke's theory of modular forms. Many of Ramanujan's mock theta functions can be written in terms of $R(\zeta ,q)$, where $R(z,q)$ is...