Metaplectic Ice

Spherical Whittaker functions on the metaplectic n-fold cover of GL(r+1) over a nonarchimedean local field containing n distinct n-th roots of unity may be expressed as the partition functions of statistical mechanical systems that are variants of the six-vertex model. If n=1 then in view of the Casselman-Shalika formula this fact is related to Tokuyama's deformation of the Weyl character formula. It is shown that various properties of these Whittaker functions may be expressed in terms of the commutativity of row transfer matrices for the system. Potentially these properties (which are already proved by other methods, but very nontrivial) are amenable to proof by the Yang-Baxter equation

Crystal constructions in Number Theory

Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms of crystal graphs. We present crystals as parameterized by Littelmann patterns and we give a survey of purely combinatorial constructions of prime power coefficients of Weyl group multiple Dirichlet series and metaplectic Whittaker functions using the language of crystal graphs. We explore how the branching structure of crystals manifests in these constructions, and how it allows access to some intricate objects in number theory and related open questions using tools of algebraic combinatorics

Application of advanced technologies to small, short-haul aircraft

The results of a preliminary design study which investigates the use of selected advanced technologies to achieve low cost design for small (50-passenger), short haul (50 to 1000 mile) transports are reported. The largest single item in the cost of manufacturing an airplane of this type is labor. A careful examination of advanced technology to airframe structure was performed since one of the most labor-intensive parts of the airplane is structures. Also, preliminary investigation of advanced aerodynamics flight controls, ride control and gust load alleviation systems, aircraft systems and turbo-prop propulsion systems was performed. The most beneficial advanced technology examined was bonded aluminum primary structure. The use of this structure in large wing panels and body sections resulted in a greatly reduced number of parts and fasteners and therefore, labor hours. The resultant cost of assembled airplane structure was reduced by 40% and the total airplane manufacturing cost by 16% - a major cost reduction. With further development, test verification and optimization appreciable weight saving is also achievable. Other advanced technology items which showed significant gains are as follows: (1) advanced turboprop-reduced block fuel by 15.30% depending on range; (2) configuration revisions (vee-tail)-empennage cost reduction of 25%; (3) leading-edge flap addition-weight reduction of 2500 pounds

Two Late Quaternary Pollen Records from South-Central Alaska

Pollen records from Wonder and Ten Mile lakes, located at aititudinal treeline to the north and south of the Alaska Range respectively, document the vegetation history of a portion of the southern Alaskan boreal forest. The new pollen diagrams indicate a Betula shrub tundra, preceded at Wonder Lake by a sparse herb tundra, which characterized these two areas during latest Wisconsinan times. Populus was in the vicinity of Ten Mile Lake ca. 10,000 BP, but was apparently absent from Wonder Lake. Picea glauca grew at or near Ten Mile Lake by 9100 BP, with P. mariana becoming important ca. 7000 BP. The first forests at Wonder Lake were also dominated by P. glauca and followed by increased numbers of P. mariana. The timing of forest establishment at Wonder Lake is uncertain due to problematic radiocarbon dates. Alnus appears to be common in both regions by ca. 7000 BP. These records suggest that paleo-vegetational reconstructions are more difficult for the southern than northern boreal forests in Alaska because of greater topographic diversity, difficulties with over-representation of some pollen taxa, and problems with radiocarbon dating. Despite these concerns, available data from south-central Alaska suggest that southern and northern forests differ in their vegetational histories. Such differences, when related to temperature fluctuations that have been postulated for the Holocene, imply that the Alaskan boreal forest may not respond uniformly to future global warming.Les inventaires polliniques de Wonder Lake et de Ten Mile Lake, situés à la limite altitudinale des arbres au nord et au sud de la chaîne de l'Alaska permettent de reconstituer l'histoire de la végétation d'une portion de la forêt boréale du sud de l'Alaska. Les nouveaux diagrammes polliniques montrent une toundra arbustive à Betula, précédée au Wonder Lake par une toundra herbacée clairsemée, à la fin du Wisconsinien. Vers 10 000 BP, Populus était dans les environs du Ten Mile Lake, mais était apparamment absent du Wonder Lake. Picea glauca croissait autour du Ten Mile Lake à 9100 BP et P. mariana prenait de l'importance vers 7000 BP. Au Wonder Lake, les premières forêts ont également été dominées par P. glauca, puis par un nombre croissant de P. mariana. La chronologie de !'afforestation est incertaine en raison de datations au radiocarbone douteuses. Alnus semble être une espèce courante dans les deux régions vers 7000 BP. Les inventaires indiquent que la reconstitution de la paléovégétation est plus difficile à faire pour les forêts méridionales que septentrionales de l'Alaska, en raison de la plus grande diversité topographique, la sur-représentation de certains taxons et des problèmes de radio-datation. Les données indiquent tout de même que l'histoire de la végétation des forêts diffèrent au nord et au sud. Ces différences, mises en relation avec les fluctuations de températures présumées de l'Holocène, laissent croire que la forêt de l'Alaska ne répondra pas nécessairement de façon uniforme à un réchauffement climatique éventuel.DbiJibneBbie aiiarpa.viMbi ocaaKOB 03ep Baeae n TeHMaRJi, pacnojioxeHiibix B6JIII3H Bepxiiert rpaiiMUbi Jieca Ha ceBepe H wre A/iflCKiiHCKoro xpeôîa, OTpaacaioT ncropnio pacTHTejibHOCTH KOKIIOH lacr" Sopea/ibHoro jieca AJIBCKH. HoBbie ribiJibuebe anarpaMMbi iiOKaabiBaioT, HTO KycTapmiKOBOfi 6epr30B0fi TyHApe, xapaKTepiioft aJifl 3TMX aByx TeppiiTopufl B Teieime no3iuiero BiicKoiicmia, npemuecTBOBajia B oTaoaceiinnx 03. Banae 6emiaH TpaBHHUCTHa iyHapa. Populus iipopn3parra.n B otcpecruocnix 03. Teii.vianji 10000 /J.H., HO, JlO-BIUHMOMy, OTCyTCTBOBaa B pafione 03. BaHae. 9100 JI.H. B panoHe 03. Tenvianj] H.11I B iienocpeacrBeimoH 6/IH30CTH OT iiero npoH3pacTajia Picea glauca, KOTopan BMepTe c Picea mariana nrpaeT 3Ha'iiiTe/ibnyio pojib B codaBe pacTHTeJibHOCTM OKO/IO 7000 .i.n. B nepBbix Jiecax B paflone 03. BaHae TaKjKe aoMiiiuipoBajia Picea glauca, 110 3aTe,vi pojib Picea mariana iiaHimaeT B03pacacTaTb. Bpe.viH noflB/ieiiHfl jiecoB B panone 03. Banae uoKaiie ycraiiaBJiiiBaeTca iiaaeacHo paaiioyr-jiepoaiibiM McroaoM. Alnus o6pa3yer cooBiuecTBa B06011X pafioiiax OKOJIO 7000 JI.H. nojiyieiuibie aaiiHbie cBiiaeTejibCTByioT 0 TOM, HTO peKoiicTpyKniifl pacTiiTejibiiocTH 6yaer 6ojieecjio>KHon aJin lOîKHbix, ieM aJifl ceaepiibix 6opeajibiibix JiecoB AJIHCKH 1133a SHa'iinejibiioro TonorpafpimecKoro iiecxoacTBa,3aTpyaiieiii!Ji B iiHTepnpeTaumi neKOTopwx nbijibneitbix TaKCOHOB, npoGjieM c paanoyrjiepoaiibiM aaTHpBaiine.M. HeavioTpa tia 3TH npo6jieivibi, nojicpieHHbie aaHiibie noKa3biaiOT, HTO fjopeajibiibie Jieca 11a wre 11 ceBepe ioaciion iacni UetiTajibiion AJIHCKH wweioT pa3Jiiiiyio iiCTopnio. TaKiie pa3Jinmtfl, cBfl3xaiuibie c n3MeiieiijiflMii 3eMJiepaTyp B Teieiuie ro.'ioueiia, cBiiae-Te.TbCTByioT, HTO 6opeajibiibiri Jiec AJIHCKH ,vioxer ne OTBenaTb cienapnio rjio6aJibiioro noTen.ieiina u SyaymeM

Racism and anti-racism in Europe: a critical analysis of concepts and frameworks

The targets and expressions of racism vary across Europe. This article discusses the relevance of different descriptions and analyses of racism despite the different terms used in different countries such as ‘ethnic minority’, ‘foreigner’ or ‘black’ and different interpretations of which differences matter. It shows the significance of a cross-national European perspective on racism. There are important convergences across European countries in the discourses and practices of racism, particularly the distinction between ‘useful’ and ‘abusive’ migrants. A cross-European perspective can be an important inspiration for anti-racist struggles

Ethnopolitics Across Central and Eastern Europe in a State of Flux: Time for Updating and Upgrading?

This chapter illustrates why and how the existing theoretical models in the study of ethnopolitics need to be updated in light of the latest developments and the increasing impact of new catalysts. These are, namely, anti-immigration and the rise of the populist and radical right across Central and Eastern Europe. This chapter hints that the more systematic cooperation between academic experts in nationalism and academic experts in the populist and radical right will enable: (a) the former to assess more accurately the degree to which new variables such as Euroscepticism and anti-immigrant trends can reshape ethnopolitics, both as a living reality and a field of study, across Central and Eastern Europe; (b) the latter to formulate new interpretative models about how (right-wing) populist and Eurosceptic actors embed their agendas inside the pre-existing political cultures of nationalism and particularistic identity and memory politics. This chapter introduces and outlines the ethnosymbolic approach as well as the triadic and quadratic configurations of ethnopolitics. Then, it proceeds into a more empirical assessment of the applicability of these theoretical approaches in a series of case studies during the 1990s, as well as the more recent emergence of new catalysts and the ensuing necessity to update and upgrade the existing theoretical models

Superconducting properties of nanocrystalline MgB2_2 thin films made by an in situ annealing process

We have studied the structural and superconducting properties of MgB$_2$ thin films made by pulsed laser deposition followed by in situ annealing. The cross-sectional transmission electron microscopy reveals a nanocrystalline mixture of textured MgO and MgB$_2$ with very small grain sizes. A zero-resistance transition temperature ($T_{c0}$) of 34 K and a zero-field critical current density ($J_c$) of $1.3 \times 10^6$ A/cm$^2$ were obtained. The irreversibility field was $\sim$ 8 T at low temperatures, although severe pinning instability was observed. These bulk-like superconducting properties show that the in situ deposition process can be a viable candidate for MgB$_2$ Josephson junction technologies