**Please note, some titles may not connect to the fulltext because we have cancelled them entirely.
The tables of contents of cancelled titles are listed only as an alert. If you need to see their fulltext,
order the article from Interlibrary Loan.
Record 1 of 6: FN ISI Export Format VR 1.0 PT J AU Berger, MJ Calhoun, DA Helzel, C LeVeque, RJ AF Berger, Marsha J. Calhoun, Donna A. Helzel, Christiane LeVeque, Randall J. TI Logically rectangular finite volume methods with adaptive refinement on the sphere SO PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES LA English DT Article DE shallow water equations; sphere; finite volume; adaptive mesh refinement; well-balanced schemes; bathymetry ID SHALLOW-WATER EQUATIONS; WELL-BALANCED SCHEME; HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; SOURCE TERMS; FLOWS AB The logically rectangular finite volume grids for two-dimensional partial differential equations on a sphere and for three-dimensional problems in a spherical shell introduced recently have nearly uniform cell size, avoiding severe Courant number restrictions. We present recent results with adaptive mesh refinement using the GEOCLAW software and demonstrate well-balanced methods that exactly maintain equilibrium solutions, such as shallow water equations for an ocean at rest over arbitrary bathymetry. C1 [LeVeque, Randall J.] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA. [Berger, Marsha J.] NYU, Courant Inst Math Sci, New York, NY 10012 USA. [Calhoun, Donna A.] CEA, Lab Etud Transferts & Mech Fluides, DEN, SFME,LTMF,DM2S,Ctr Saclay, F-91191 Gif Sur Yvette, France. [Helzel, Christiane] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany. RP LeVeque, RJ, Univ Washington, Dept Appl Math, Box 352420, Seattle, WA 98195 USA. EM rjl@washington.edu FU DOE [DE-FG02-88ER25053]; AFOSR [FA9550-06-1-0203]; NSF [DMS-0106511]; DFG [HE 4858/1-1] FX This work was supported in part by DOE grant DE-FG02-88ER25053, AFOSR grant FA9550-06-1-0203, NSF grant DMS-0106511 and DFG grant HE 4858/1-1. NR 20 TC 1 PU ROYAL SOC PI LONDON PA 6-9 CARLTON HOUSE TERRACE, LONDON SW1Y 5AG, ENGLAND SN 1364-503X J9 PHILOS TRANS R SOC A JI Philos. Trans. R. Soc. A-Math. Phys. Eng. Sci. PD NOV 28 PY 2009 VL 367 IS 1907 BP 4483 EP 4496 DI 10.1098/rsta.2009.0168 PG 14 SC Multidisciplinary Sciences GA 507OQ UT ISI:000270864400002 ER EF Record 2 of 6: FN ISI Export Format VR 1.0 PT J AU Grigorov, C Jorza, A Patrikis, S Stein, WA Tarnita, C AF Grigorov, Grigor Jorza, Andrei Patrikis, Stefan Stein, William A. Tarnita, Corina TI COMPUTATIONAL VERIFICATION OF THE BIRCH AND SWINNERTON-DYER CONJECTURE FOR INDIVIDUAL ELLIPTIC CURVES SO MATHEMATICS OF COMPUTATION LA English DT Article ID ABELIAN-VARIETIES; L-SERIES; DERIVATIVES; POINTS; VALUES; BOUNDS AB We describe theorems and computational methods for verifying the Birch and Swinnerton-Dyer conjectural formula for specific elliptic curves over Q of analytic ranks 0 and 1. We apply our techniques to show that if E is a non-CM elliptic curve over Q of conductor <= 1000 and rank 0 or 1, then the Birch and Swinnerton-Dyer conjectural formula for the leading coefficient of the L-series is true for E, up to odd primes that divide either Tamagawa numbers of E or the degree of some rational cyclic isogeny with domain E. Since the rank part of the Birch and Swinnerton-Dyer conjecture is a theorem for curves of analytic rank 0 or 1, this completely verifies the full conjecture for these curves up to the primes excluded above. C1 [Grigorov, Grigor; Tarnita, Corina] Harvard Univ, Dept Math, Cambridge, MA 02138 USA. [Jorza, Andrei; Patrikis, Stefan] Princeton Univ, Dept Math, Princeton, NJ 08544 USA. [Stein, William A.] Univ Washington, Dept Math, Seattle, WA 98195 USA. RP Grigorov, C, Harvard Univ, Dept Math, Cambridge, MA 02138 USA. FU National Science Foundation [0400386] FX This material is based upon work supported by the National Science Foundation under Grant No. 0400386. NR 49 TC 0 PU AMER MATHEMATICAL SOC PI PROVIDENCE PA 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA SN 0025-5718 J9 MATH COMPUT JI Math. Comput. PD OCT PY 2009 VL 78 IS 268 BP 2397 EP 2425 PG 29 SC Mathematics, Applied GA 506HQ UT ISI:000270766200025 ER EF Record 3 of 6: FN ISI Export Format VR 1.0 PT J AU Hoff, PD AF Hoff, Peter D. TI A hierarchical eigenmodel for pooled covariance estimation SO JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY LA English DT Article DE Bayesian inference; Copula; Markov chain Monte Carlo methods; Principal components; Random matrix; Stiefel manifold ID PRINCIPAL COMPONENT SUBSPACES; LATENT ROOTS; MATRIX ARGUMENT; DISTRIBUTIONS; MODELS AB Although the covariance matrices corresponding to different populations are unlikely to be exactly equal they can still exhibit a high degree of similarity. For example, some pairs of variables may be positively correlated across most groups, whereas the correlation between other pairs may be consistently negative. In such cases much of the similarity across covariance matrices can be described by similarities in their principal axes, which are the axes that are defined by the eigenvectors of the covariance matrices. Estimating the degree of across-population eigenvector heterogeneity can be helpful for a variety of estimation tasks. For example, eigenvector matrices can be pooled to form a central set of principal axes and, to the extent that the axes are similar, covariance estimates for populations having small sample sizes can be stabilized by shrinking their principal axes towards the across-population centre. To this end, the paper develops a hierarchical model and estimation procedure for pooling principal axes across several populations. The model for the across-group heterogeneity is based on a matrix-valued antipodally symmetric Bingham distribution that can flexibly describe notions of 'centre' and 'spread' for a population of orthogonal matrices. C1 Univ Washington, Dept Stat, Seattle, WA 98195 USA. RP Hoff, PD, Univ Washington, Dept Stat, Seattle, WA 98195 USA. EM pdhoff@washington.edu FU National Science Foundation [SES-0631531] FX This research was partially supported by National Science Foundation grant SES-0631531. The author thanks Michael Perlman for helpful discussions and the Joint Editor, Associate Editor and two reviewers for their suggestions that made this a more complete paper. NR 21 TC 0 PU WILEY-BLACKWELL PUBLISHING, INC PI MALDEN PA COMMERCE PLACE, 350 MAIN ST, MALDEN 02148, MA USA SN 1369-7412 J9 J ROY STAT SOC SER B-STAT MET JI J. R. Stat. Soc. Ser. B-Stat. Methodol. PY 2009 VL 71 PN Part 5 BP 971 EP 992 PG 22 SC Statistics & Probability GA 507DU UT ISI:000270832200004 ER EF Record 4 of 6: FN ISI Export Format VR 1.0 PT J AU Lieblich, M Osserman, B AF Lieblich, Max Osserman, Brian TI Functorial reconstruction theorems for stacks SO JOURNAL OF ALGEBRA LA English DT Article DE Stacks; Functors; Reconstruction; Isonatural ID SHEAVES AB We study the circumstances under which one can reconstruct a stack from its associated functor of isomorphism classes. This is possible surprisingly often: we show that many of the standard examples of moduli stacks are determined by their functors. Our methods seem to exhibit new anabelian-style phenomena, in the form of structures in the category of schemes that encode automorphism data in groupoids. (C) 2009 Elsevier Inc. All rights reserved. C1 [Osserman, Brian] Univ Calif Davis, Davis, CA 95616 USA. [Lieblich, Max] Univ Washington, Dept Math, Seattle, WA 98195 USA. RP Osserman, B, Univ Calif Davis, 1 Shields Ave, Davis, CA 95616 USA. EM osserman@math.ucdavis.edu FU NSF [DMS-0758391] FX The authors were partially supported by NSF Postdoctoral Fellowships, and the second author was also Partially Supported by NSF grant DMS-0758391. NR 25 TC 0 PU ACADEMIC PRESS INC ELSEVIER SCIENCE PI SAN DIEGO PA 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA SN 0021-8693 J9 J ALGEBRA JI J. Algebra PD NOV 15 PY 2009 VL 322 IS 10 BP 3499 EP 3541 DI 10.1016/j.jalgebra.2009.08.009 PG 43 SC Mathematics GA 508HC UT ISI:000270920000006 ER EF Record 5 of 6: FN ISI Export Format VR 1.0 PT J AU Kirkman, E Kuzmanovich, J Zhang, JJ AF Kirkman, E. Kuzmanovich, J. Zhang, J. J. TI Gorenstein subrings of invariants under Hopf algebra actions SO JOURNAL OF ALGEBRA LA English DT Article DE Artin-Schelter regular algebra; Hopf algebra action; Invariant subring ID DUALIZING COMPLEXES; GRADED ALGEBRAS; RINGS AB This paper concerns conditions on the action of a finite dimensional semisimple Hopf algebra on an Artin-Schelter regular algebra that force the subring of invariants to satisfy the Artin-Schelter Gorenstein condition. Classical results such as Watanabe's Theorem and Stanley's Theorem are extended from the case of a group action to the context of a Hopf algebra action. A Hopf algebra version of the homological determinant is introduced, and it becomes an important tool in the generalization from group actions to Hopf algebra actions. (C) 2009 Elsevier Inc. All rights reserved. C1 [Zhang, J. J.] Univ Washington, Dept Math, Seattle, WA 98195 USA. [Kirkman, E.; Kuzmanovich, J.] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA. RP Zhang, JJ, Univ Washington, Dept Math, Box 354350, Seattle, WA 98195 USA. EM kirkman@wfu.edu kuz@wfu.edu zhang@math.washington.edu FU National Science Foundation of USA FX The authors thank Jacques Alev for bringing this topic to their attention and for his interests in questions related to this paper, Zhixi Wang for his interest in this subject, and the referee for several helpful suggestions. J.J. Zhang is supported by the National Science Foundation of USA. NR 24 TC 0 PU ACADEMIC PRESS INC ELSEVIER SCIENCE PI SAN DIEGO PA 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA SN 0021-8693 J9 J ALGEBRA JI J. Algebra PD NOV 15 PY 2009 VL 322 IS 10 BP 3640 EP 3669 DI 10.1016/j.jalgebra.2009.08.018 PG 30 SC Mathematics GA 508HC UT ISI:000270920000010 ER EF Record 6 of 6: FN ISI Export Format VR 1.0 PT J AU Burdzy, K AF Burdzy, Krzysztof TI Differentiability of stochastic flow of reflected Brownian motions SO ELECTRONIC JOURNAL OF PROBABILITY LA English DT Article DE Reflected Brownian motion; multiplicative functional ID BOUNDARY; NONCOALESCENCE; EQUATIONS; DOMAIN; SDES AB We prove that a stochastic flow of reflected Brownian motions in a smooth multidimensional domain is differentiable with respect to its initial position. The derivative is a linear map represented by a multiplicative functional for reflected Brownian motion. The method of proof is based on excursion theory and analysis of the deterministic Skorokhod equation. C1 Univ Washington, Dept Math, Seattle, WA 98195 USA. RP Burdzy, K, Univ Washington, Dept Math, Box 354350, Seattle, WA 98195 USA. EM burdzy@math.washington.edu FU NSF [DMS-0600206, DMS-0906743] FX Research supported in part by NSF Grants DMS-0600206 and DMS-0906743. NR 29 TC 0 PU UNIV WASHINGTON, DEPT MATHEMATICS PI SEATTLE PA BOX 354350, SEATTLE, WASHINGTON 98195-4350 USA SN 1083-6489 J9 ELECTRON J PROBAB JI Electron. J. Probab. PD OCT 6 PY 2009 VL 14 BP 2182 EP 2240 AR 75 PG 59 SC Statistics & Probability GA 507AZ UT ISI:000270823300002 ER EF
