scholarly journals Fully packed loop configurations : polynomiality and nested arches

2020 ◽  
Vol DMTCS Proceedings, 28th... ◽  
Author(s):  
Florian Aigner
Keyword(s):  
International Audience ◽  
Link Pattern

International audience This extended abstract proves that the number of fully packed loop configurations whose link pattern consists of two noncrossing matchings separated by m nested arches is a polynomial in m. This was conjectured by Zuber (2004) and for large values of m proved by Caselli et al. (2004)

scholarly journals Triangular fully packed loop configurations of excess 2

2015 ◽  
Vol DMTCS Proceedings, 27th... (Proceedings) ◽  
Author(s):  
Sabine Beil
Keyword(s):  
Boundary Conditions ◽  
Young Diagram ◽  
Rotational Invariance ◽  
The Other ◽  
Necessary Condition ◽  
Grand Nombre ◽  
Other Hand ◽  
International Audience ◽  
Linear Expression ◽  
Link Pattern

International audience Triangular fully packed loop configurations (TFPLs) came up in the study of fully packed loop configurations on a square (FPLs) corresponding to link patterns with a large number of nested arches. To a TFPL is assigned a triple $(u,v;w)$ of $01$-words encoding its boundary conditions. A necessary condition for the boundary $(u,v;w)$ of a TFPL is $\lvert \lambda(u) \rvert +\lvert \lambda(v) \rvert \leq \lvert \lambda(w) \rvert$, where $\lambda(u)$ denotes the Young diagram associated with the $01$-word $u$. Wieland gyration, on the other hand, was invented to show the rotational invariance of the numbers $A_\pi$ of FPLs corresponding to a given link pattern $\pi$. Later, Wieland drift was defined as the natural adaption of Wieland gyration to TFPLs. The main contribution of this article is a linear expression for the number of TFPLs with boundary $(u,v;w)$ where $\lvert \lambda (w) \rvert - \lvert\lambda (u) \rvert - \lvert \lambda (v)\rvert \leq 2$ in terms of numbers of stable TFPLs that is TFPLs invariant under Wieland drift. These stable TFPLs have boundary $(u^{+},v^{+};w)$ for words $u^{+}$ and $v^{+}$ such that $\lambda (u) \subseteq \lambda (u^{+})$ and $\lambda (v) \subseteq \lambda (v^{+})$. Les configurations de boucles compactes triangulaires (”triangular fully packed loop configurations”, ou TFPLs) sont apparues dans l’étude des configurations de boucles compactes dans un carré (FPLs) correspondant à des motifs de liaison avec un grand nombre d’arcs imbriqués. À chaque TPFL on associe un triplet $(u,v;w)$ de mots sur {0,1}, qui encode ses conditions aux bords. Une condition nécessaire pour le bord $(u,v;w)$ d’un TFPL est $\lvert \lambda(u) \rvert +\lvert \lambda(v) \rvert \leq \lvert \lambda(w) \rvert$, où $\lambda(u)$ désigne le diagramme de Young associé au mot $u$. D’un autre côté, la giration de Wieland a été inventée pour montrer l’invariance par rotation des nombres $A_\pi$ de FPLs correspondant à un motif de liaison donné $\pi$. Plus tard, la déviation de Wieland a été définie pour adapter de manière naturelle la giration de Wieland aux TFPLs. La contribution principale de cet article est une expression linéaire pour le nombre de TFPLs de bord $(u,v;w)$, où $\lvert \lambda (w) \rvert - \lvert\lambda (u) \rvert - \lvert \lambda (v)\rvert \leq 2$, en fonction des nombres de TFPLs stables, <i>i.e</i>., les TFPLs invariants par déviation de Wieland. Ces TFPLs stables ont pour bord $(u^{+},v^{+};w)$, avec $u^{+}$ et $v^{+}$ des mots tels que $\lambda (u) \subseteq \lambda (u^{+})$ et $\lambda (v) \subseteq \lambda (v^{+})$.

scholarly journals Fully Packed Loop configurations in a triangle and Littlewood Richardson coefficients

2010 ◽  
Vol DMTCS Proceedings vol. AN,... (Proceedings) ◽  
Author(s):  
Philippe Nadeau
Keyword(s):  
Boundary Conditions ◽  
Recurrence Relations ◽  
Linear Recurrence ◽  
Special Boundary ◽  
Nous Montrons ◽  
International Audience ◽  
Link Pattern

International audience We are interested in Fully Packed Loops in a triangle (TFPLs), as introduced by Caselli at al. and studied by Thapper. We show that for Fully Packed Loops with a fixed link pattern (refined FPL), there exist linear recurrence relations with coefficients computed from TFPL configurations. We then give constraints and enumeration results for certain classes of TFPL configurations. For special boundary conditions, we show that TFPLs are counted by the famous Littlewood Richardson coefficients. Nous nous intéressons aux configurations de "Fully Packed Loops'' dans un triangle (TFPL), introduites par Caselli et al. et étudiées par Thapper. Nous montrons que pour les Fully Packed Loops avec un couplage donné, il existe des relations de récurrence linéaires dont les coefficients sont calculés à partir de certains TFPLs. Nous donnons ensuite des contraintes et des résultats énumératifs pour certaines familles de TFPLs. Pour certaines conditions au bord, nous montrons que le nombre de TFPL est donné par les coefficients de Littlewood Richardson.

scholarly journals On the link pattern distribution of quarter-turn symmetric FPL configurations

2008 ◽  
Vol DMTCS Proceedings vol. AJ,... (Proceedings) ◽  
Author(s):  
Philippe Duchon
Keyword(s):  
Nous Obtenons ◽  
Plane Partitions ◽  
New Class ◽  
International Audience ◽  
Pattern Distribution ◽  
Special Case ◽  
Link Pattern

International audience We present new conjectures on the distribution of link patterns for fully-packed loop (FPL) configurations that are invariant, or almost invariant, under a quarter turn rotation, extending previous conjectures of Razumov and Stroganov and of de Gier. We prove a special case, showing that the link pattern that is conjectured to be the rarest does have the prescribed probability. As a byproduct, we get a formula for the enumeration of a new class of quasi-symmetry of plane partitions. Nous présentons de nouvelles conjectures portant sur la distribution des schémas de couplage des configurations de boucles compactes (FPL) invariantes, ou presque invariantes, par une rotation d'un quart de tour. Ces nouvelles conjectures étendent des conjectures précédentes dues à Razumov et Stroganov et à de Gier. Dans chaque cas, nous prouvons un cas particulier, en démontrant que le schéma de couplage conjecturé pour être le plus rare a effectivement la probabilité prédite. Nous obtenons également une formule pour l'énumération d'une nouvelle classe de quasi-symétrie de partitions planes.

Somethin’ about Scandinavia: Danish Shorts on the Post-war International Scene

2018 ◽  
Author(s):  
C. Claire Thomson
Keyword(s):  
United Nations ◽  
International Collaboration ◽  
Marshall Plan ◽  
The Third ◽  
Animated Film ◽  
International Audience ◽  
Post War ◽  
Nordic Cooperation

Building on the picture of post-war Anglo-Danish documentary collaboration established in the previous chapter, this chapter examines three cases of international collaboration in which Dansk Kulturfilm and Ministeriernes Filmudvalg were involved in the late 1940s and 1950s. They Guide You Across (Ingolf Boisen, 1949) was commissioned to showcase Scandinavian cooperation in the realm of aviation (SAS) and was adopted by the newly-established United Nations Film Board. The complexities of this film’s production, funding and distribution are illustrative of the activities of the UN Film Board in its first years of operation. The second case study considers Alle mine Skibe (All My Ships, Theodor Christensen, 1951) as an example of a film commissioned and funded under the auspices of the Marshall Plan. This US initiative sponsored informational films across Europe, emphasising national solutions to post-war reconstruction. The third case study, Bent Barfod’s animated film Noget om Norden (Somethin’ about Scandinavia, 1956) explains Nordic cooperation for an international audience, but ironically exposed some gaps in inter-Nordic collaboration in the realm of film.

Conclusion

2018 ◽  
Author(s):  
Alistair Fox
Keyword(s):  
National Identity ◽  
New Zealand ◽  
Identity Formation ◽  
Essential Role ◽  
Coming Of Age ◽  
Financial Returns ◽  
Self Recognition ◽  
International Audience ◽  
National Identity Formation

The conclusion reaffirms the essential role played by cinema generally, and the coming-of-age genre in particular, in the process of national identity formation, because of its effectiveness in facilitating self-recognition and self-experience through a process of triangulation made possible, for the most part, by a dialogue with some of the nation’s most iconic works of literature. This section concludes by point out the danger posed, however, by an observable trend toward generic standardization in New Zealand films motivated by a desire to appeal to an international audience out of consideration for the financial returns expected by funding bodies under current regimes.

Early Cinema in Scotland

2018 ◽  
Keyword(s):  
Social History ◽  
Small Towns ◽  
Early Cinema ◽  
Popular Song ◽  
Feature Film ◽  
Local Newspapers ◽  
The Social ◽  
Production History ◽  
History Of ◽  
International Audience

This collection of essays, drawn from a three-year AHRC research project, provides a detailed context for the history of early cinema in Scotland from its inception in 1896 till the arrival of sound in the early 1930s. It details the movement from travelling fairground shows to the establishment of permanent cinemas, and from variety and live entertainment to the dominance of the feature film. It addresses the promotion of cinema as a socially ‘useful’ entertainment, and, distinctively, it considers the early development of cinema in small towns as well as in larger cities. Using local newspapers and other archive sources, it details the evolution and the diversity of the social experience of cinema, both for picture goers and for cinema staff. In production, it examines the early attempts to establish a feature film production sector, with a detailed production history of Rob Roy (United Films, 1911), and it records the importance, both for exhibition and for social history, of ‘local topicals’. It considers the popularity of Scotland as an imaginary location for European and American films, drawing their popularity from the international audience for writers such as Walter Scott and J.M. Barrie and the ubiquity of Scottish popular song. The book concludes with a consideration of the arrival of sound in Scittish cinemas. As an afterpiece, it offers an annotated filmography of Scottish-themed feature films from 1896 to 1927, drawing evidence from synopses and reviews in contemporary trade journals.

A Study on Musical Purchase Factors among the Domestic and International Audience

2018 ◽  
Vol 19 (2) ◽  
pp. 217-235
Author(s):  
Ha Na Oh ◽  
Young Taek Kim
Keyword(s):  
International Audience

Spiritual and Ecclesiastical Biographies: Research, Results, and Reading, ed. Anders Jarlert. Konferenser, 94. Stockholm: Kungl. Vitterhets Historie och Antikvitets Akademien, 2017, 245 pp.

Mediaevistik ◽  
2018 ◽  
Vol 31 (1) ◽  
pp. 327-327
Author(s):  
Albrecht Classen
Keyword(s):  
South Africa ◽  
Middle Ages ◽  
Life Writing ◽  
Emeritus Professor ◽  
Royal Swedish Academy ◽  
Research Results ◽  
International Audience ◽  
Binghamton University ◽  
Sciences Sociales ◽  
The Middle Ages

The papers combined in this volume were originally presented at a conference at the Royal Swedish Academy of Letters, History and Antiquities in Stockholm, June 11–12, 2015. The explicit purpose of this event and the subsequent volume was to expose the work of Swedish and other scholars on the genre of biographies to an international audience, reflecting on life-writing or ego-documents, emphasizing spiritual autobiographies. According to the brief bios at the end of the book, Robert Swanson, for instance, is Emeritus Professor at Binghamton University; Jean-Mark Ticchi teaches at the Centre d’Etudes en Sciences Sociales du Religieux in Paris; and Enock Bongani Zulu was lecturer at the Lutheran Theological Institute in Pietermaritzburg, South Africa. The book cover is decorated with an image showing a page in Margery Kempe’s Book from ca. 1440, indicating that the focus might rest on the Middle Ages. This is only very partially the case.

Food museums as cultural institutions and tourist attractions: Evidence from Italy

2020 ◽  
Author(s):  
Roberta Garibaldi ◽  
Andrea Pozzi
Keyword(s):  
Private Companies ◽  
Tourist Attractions ◽  
Local Stakeholders ◽  
Cooking Shows ◽  
International Audience ◽  
External Relationships ◽  
Museum Experience ◽  
Public Museums ◽  
Modes Of Engagement ◽  
Heritage Interpretation

In recent years, food museums have turned into popular attractions for tourists. Scholars and practitioners have emphasized their role as agents of preservation, education and cultural heritage interpretation, but devoted little attention to tourism related issues. To fill the gap, this paper investigates Italian food museums in order to assess their characteristics, tasks, audience and modes of engagement. Findings suggest that community engagement is an important task along with safeguarding and promoting food heritage. Creating or improving external relationships is crucial for public museums to get recognized for their role and value. For museums operated by private companies, engaging with local stakeholders and residents serves not just a branding purpose, but also in awakening their interest in past and present issues concerning the product (nutrition, safety, taste, cultural and social values). The majority of Italian food museums mainly appeal to domestic travelers, which indicates the potential to reach a larger, international audience. Visibility and language issues remain crucial to reach international tourists but reframing the museum experience is also essential to meet new visitors’ needs. Exploiting traditional exhibitions of food-related objects with multimedia technology and practical activities such as classes, workshops, cooking shows can help in engaging the audiences.

Introduction

2017 ◽  
Author(s):  
Stefan Homburg
Keyword(s):  
Great Recession ◽  
Rational Expectations ◽  
Borrowing Constraints ◽  
Distinctive Features ◽  
Net Worth ◽  
The Great Recession ◽  
External Finance ◽  
International Audience ◽  
Aims And Scope

Chapter 1 describes the book’s aims and scope. The main objective is to improve understanding of the Great Recession and its aftermath. The book provides a unified theoretical framework that uses dynamic general equilibrium models, or DGE, but dispenses with the rational expectations assumption. Its distinctive features are clean models with a rich institutional structure encompassing credit money, external finance, borrowing constraints, net worth, real estate, and commercial banks. Written for economists in universities, governments, and financial institutions, the book addresses an international audience.

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