Systematic study of autocorrelation time in pure SU(3) lattice gauge theory

Results of our autocorrelation measurement performed on Fujitsu AP1000 are reported. We analyze (i) typical autocorrelation time, (ii) optimal mixing ratio between overrelaxation and pseudo-heatbath and (iii) critical behavior of autocorrelation time around cross-over region with high statistic in wide range of $\beta$ for pure SU(3) lattice gauge theory on $8^4$, $16^4$ and $32^4$ lattices. For the mixing ratio K, small value (3-7) looks optimal in the confined region, and reduces the integrated autocorrelation time by a factor 2-4 compared to the pseudo-heatbath. On the other hand in the deconfined phase, correlation times are short, and overrelaxation does not seem to matter For a fixed value of K(=9 in this paper), the dynamical exponent of overrelaxation is consistent with 2 Autocorrelation measurement of the topological charge on $32^3 \times 64$ lattice at $\beta$ = 6.0 is also briefly mentioned.Comment: 3 pages of A4 format including 7-figure

The Shapley Value of Phylogenetic Trees

Every weighted tree corresponds naturally to a cooperative game that we call a "tree game"; it assigns to each subset of leaves the sum of the weights of the minimal subtree spanned by those leaves. In the context of phylogenetic trees, the leaves are species and this assignment captures the diversity present in the coalition of species considered. We consider the Shapley value of tree games and suggest a biological interpretation. We determine the linear transformation M that shows the dependence of the Shapley value on the edge weights of the tree, and we also compute a null space basis of M. Both depend on the "split counts" of the tree. Finally, we characterize the Shapley value on tree games by four axioms, a counterpart to Shapley's original theorem on the larger class of cooperative games.Comment: References added, and a section (calculating the Shapley value of a tree game from its subtrees) was removed for length reasons (request of referee) and may appear in another paper. 16 pages; related work at http://www.math.hmc.edu/~su/papers.html. Journal of Mathematical Biology, to appear. The original article is available at http://www.springerlink.co

Exploring Correlation Methods to Determine QCD beta-Functions on the Lattice

We investigate -- as an alternative to usual Monte Carlo Renormalization Group methods -- the feasibility of extracting QCD beta-functions directly from a lattice analysis of correlations between the action and Wilson loops. We test this correlation technique numerically in four dimensional SU(2) gauge theory, on a 16^4 lattice at beta = 2.5 and find very promising results.Comment: 12 pages, 2 Figure

O olhar do professor para a formação contínua em um cenário de projetos

Este trabalho apresentado para a obtenção do título de mestre junto à Faculdade de Educação da Universidade de São Paulo, tem a intenção de evidenciar o papel do professor em seu processo de formação contínua. Para isto, nos propusemos investigar uma proposta de formação contínua de professores, procurando formas de analisar em que sentido se aproximam ou se distanciam os interesses e metas de formadores e de professores. Com base em Boutinet (1990) encontramos a fundamentação teórica relativa a projetos, e em especial, projetos profissionais, que possibilitou um novo olhar para o professor, um profissional que é autor do seu próprio projeto de formação, bem como revelou possíveis encaminhamentos que formadores e órgãos de formação podem incluir em suas propostas a fim de que elas efetivamente contribuam com o desenvolvimento profissional do professor

Semantic and Syntactic Principles in Second Language Acquisition: The Case of Negative Polarity Items

This paper states that semantic factors influence the acquisition of the syntax of negative polarity items in the language faculty in second language acquisition under full access to Universal Grammar.  Based on the results of elicited production tasks which were conducted on Japanese university students learning English, I will demonstrate that semantic and syntactic principles work simultaneously from the viewpoint of Antiveridicality proposed in Giannakidou (1998, 2000) and that of Feature Checking under the framework of the Minimalist Program proposed in Chomsky (1993,1994,1995,2000)