Duality and replicas for a unitary matrix model

In a generalized Airy matrix model, a power $p$ replaces the cubic term of the Airy model introduced by Kontsevich. The parameter $p$ corresponds to Witten's spin index in the theory of intersection numbers of moduli space of curves. A continuation in $p$ down to $p= -2$ yields a well studied unitary matrix model, which exhibits two different phases in the weak and strong coupling regions, with a third order critical point in-between. The application of duality and replica to the $p$-th Airy model allows one to recover both the weak and strong phases of the unitary model, and to establish some new results for these expansions. Therefore the unitary model is also indirectly a generating function for intersection numbers.Comment: 18 page, add referece

BGWM as Second Constituent of Complex Matrix Model

Earlier we explained that partition functions of various matrix models can be constructed from that of the cubic Kontsevich model, which, therefore, becomes a basic elementary building block in "M-theory" of matrix models. However, the less topical complex matrix model appeared to be an exception: its decomposition involved not only the Kontsevich tau-function but also another constituent, which we now identify as the Brezin-Gross-Witten (BGW) partition function. The BGW tau-function can be represented either as a generating function of all unitary-matrix integrals or as a Kontsevich-Penner model with potential 1/X (instead of X^3 in the cubic Kontsevich model).Comment: 42 page

Industrial Arts Teacher Preparation and Curriculum Content in the Public Secondary Schools of South Dakota

The problem in this study was to gather information concerning the industrial arts programs presently being offered in South Dakota secondary public schools, and the training of the instructors in charge of these programs

Definição de um sistema de informação e documentação para os recursos naturais do trópico semi-árido: projeto e relatórios anuais- 1982-1986.

Este projeto se propoe a criar um sistema de documentacao e informacao sobre recursos naturais do tropico Semi-Arido no Nordeste, permitindo uma recuperacao rapida e eficiente dos documentos dentro de um perfil de interesse. O programa conta com a participacao de varias entidades que vao compor um nucleo de informacao a nivel regional, isto com o apoio do Departamento de Informacao e Documentacao da EMBRAPA e com a assessoria da ORSTOM, INRA e GERDAT. Os metodos usados fundamentam-se na obtencao, codificacao, tratamento, recuperacao de dados e publicacao de bibliografias parciais.bitstream/item/143273/1/ID-3658.pd

Tucumcari News Times, 05-03-1912

https://digitalrepository.unm.edu/tucumcari_news/1370/thumbnail.jp

The Evening Herald (Albuquerque, N.M.), 04-11-1921

https://digitalrepository.unm.edu/abq_eh_news/3232/thumbnail.jp

St. Cloud Tribune Vol. 11, No. 49, July 31, 1919

Newspaper for St. Cloud (Fla.) from 1919.https://stars.library.ucf.edu/cfm-stcloudtribune/1611/thumbnail.jp