作者：Philip L. Bowers , Kenneth Stephenson 来源：[J].Conformal Geometry and Dynamics of the American Mathematical Society, 2017, Vol.21 (1), pp.1-63AMS 摘要：This paper opens a new chapter in the study of planar tilings by introducing conformal tilings. These are similar to traditional tilings in that they realize abstract patterns of combinatorial polygons as concrete patterns of geometric shapes, the tiles. In the conformal case, ho...
 作者：N. Kosovalić , Y. Chen , J. Wu 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2017, Vol.369 (5), pp.3387-3419AMS 摘要：Consider the abstract algebraic-delay differential system, \$\displaystyle x'(t)\$ \$\displaystyle =\$ \$\displaystyle Ax(t)+F(x(t),a(t)),\$ \$\displaystyle a(t)\$ \$\displaystyle =\$ \$\displaystyle H(x_t,a_t) .\$ Here \$ A\$ is a linear operator on \$ D(A)\subseteq X\$ s...
 作者：I. Kotsiuba , S. Mazur 来源：[J].Theory of Probability and Mathematical Statistics, 2017, Vol.93, pp.103-112AMS 摘要：In this paper we study the distribution of the product of an inverse Wishart random matrix and a Gaussian random vector. We derive its asymptotic distribution as well as a formula for its approximate density function which is based on the Gaussian integral and the third order Tay...
 作者：Annina Iseli , Kevin Wildrick 来源：[J].Conformal Geometry and Dynamics of the American Mathematical Society, 2017, Vol.21 (3), pp.78-100AMS 摘要：We consider a class of iterated function systems (IFSs) of contracting similarities of \$ \mathbb{R}^n\$, introduced by Hutchinson, for which the invariant set possesses a natural Hölder continuous parameterization by the unit interval. When such an invariant set is homeomorph...
 作者：M. Ferreira 来源：[J].Theory of Probability and Mathematical Statistics, 2017, Vol.93, pp.169-175AMS 摘要：Multivariate extreme values require the use of extreme-value copulas, as they appear in the limit of componentwise maxima. These can be characterized by the so-called Pickands dependence function. A new multivariate nonparametric estimator will be presented, along with convergenc...
 作者：Yu. V. Kozachenko , I. V. Rozora 来源：[J].Theory of Probability and Mathematical Statistics, 2017, Vol.93, pp.79-91AMS 摘要：The integral cross-correlogram estimator of the response function for a linear homogeneous system is considered in this paper. An upper bound for the tail of the distribution of the supremum of the estimation error is found. In the proof, we use some properties of square-Gaussian...
 作者：R. E. Maĭboroda , O. V. Sugakova 来源：[J].Theory of Probability and Mathematical Statistics, 2017, Vol.93, pp.123-135AMS 摘要：We consider the problem of testing the homogeneity of two components of a mixture with varying mixing probabilities and construct an adaptive test that minimizes the asymptotic probability of error of the second kind for local alternatives.
 作者：Ege Fujikawa , Masahiko Taniguchi 来源：[J].Conformal Geometry and Dynamics of the American Mathematical Society, 2017, Vol.21 (2), pp.64-77AMS 摘要：We introduce the quasiconformal deformation space of an ordered countable set of an infinite number of points on a Riemann surface and give certain conditions under which it admits a complex structure via Teichmüller spaces of associated subsurfaces with the complement of th...
 作者：Yu. S. Mishura , Ye. Yu. Munchak 来源：[J].Theory of Probability and Mathematical Statistics, 2017, Vol.93, pp.137-152AMS 摘要：We consider the discrete approximation scheme for the price of an asset that is modeled by the geometric Ornstein-Uhlenbeck process. The approximation scheme corresponds to Euler type discrete-time approximations where the increments of the Wiener process are changed by independe...
 作者：Manuel Bodirsky , Michael Pinsker , Andrá ... 来源：[J].Transactions of the American Mathematical Society(IF 1.019), 2017, Vol.369 (5), pp.3707-3740AMS 摘要：Function clones are sets of functions on a fixed domain that are closed under composition and contain the projections. They carry a natural algebraic structure, provided by the laws of composition which hold in them, as well as a natural topological structure, provided by the top...