Sampling motif-constrained ensembles of networks

The statistical significance of network properties is conditioned on null models which satisfy spec- ified properties but that are otherwise random. Exponential random graph models are a principled theoretical framework to generate such constrained ensembles, but which often fail in practice, either due to model inconsistency, or due to the impossibility to sample networks from them. These problems affect the important case of networks with prescribed clustering coefficient or number of small connected subgraphs (motifs). In this paper we use the Wang-Landau method to obtain a multicanonical sampling that overcomes both these problems. We sample, in polynomial time, net- works with arbitrary degree sequences from ensembles with imposed motifs counts. Applying this method to social networks, we investigate the relation between transitivity and homophily, and we quantify the correlation between different types of motifs, finding that single motifs can explain up to 60% of the variation of motif profiles.Comment: Updated version, as published in the journal. 7 pages, 5 figures, one Supplemental Materia

Eisenstein Series and String Thresholds

We investigate the relevance of Eisenstein series for representing certain $G(Z)$-invariant string theory amplitudes which receive corrections from BPS states only. $G(Z)$ may stand for any of the mapping class, T-duality and U-duality groups $Sl(d,Z)$, $SO(d,d,Z)$ or $E_{d+1(d+1)}(Z)$ respectively. Using $G(Z)$-invariant mass formulae, we construct invariant modular functions on the symmetric space $K\backslash G(R)$ of non-compact type, with $K$ the maximal compact subgroup of $G(R)$, that generalize the standard non-holomorphic Eisenstein series arising in harmonic analysis on the fundamental domain of the Poincar\'e upper half-plane. Comparing the asymptotics and eigenvalues of the Eisenstein series under second order differential operators with quantities arising in one- and $g$-loop string amplitudes, we obtain a manifestly T-duality invariant representation of the latter, conjecture their non-perturbative U-duality invariant extension, and analyze the resulting non-perturbative effects. This includes the $R^4$ and $R^4 H^{4g-4}$ couplings in toroidal compactifications of M-theory to any dimension $D\geq 4$ and $D\geq 6$ respectively.Comment: Latex2e, 60 pages; v2: Appendix A.4 extended, 2 refs added, thms renumbered, plus minor corrections; v3: relation (1.7) to math Eis series clarified, eq (3.3) and minor typos corrected, final version to appear in Comm. Math. Phys; v4: misprints and Eq C.13,C.24 corrected, see note adde

Boolean networks with reliable dynamics

We investigated the properties of Boolean networks that follow a given reliable trajectory in state space. A reliable trajectory is defined as a sequence of states which is independent of the order in which the nodes are updated. We explored numerically the topology, the update functions, and the state space structure of these networks, which we constructed using a minimum number of links and the simplest update functions. We found that the clustering coefficient is larger than in random networks, and that the probability distribution of three-node motifs is similar to that found in gene regulation networks. Among the update functions, only a subset of all possible functions occur, and they can be classified according to their probability. More homogeneous functions occur more often, leading to a dominance of canalyzing functions. Finally, we studied the entire state space of the networks. We observed that with increasing systems size, fixed points become more dominant, moving the networks close to the frozen phase.Comment: 11 Pages, 15 figure

Trajectories in a space with a spherically symmetric dislocation

We consider a new type of defect in the scope of linear elasticity theory, using geometrical methods. This defect is produced by a spherically symmetric dislocation, or ball dislocation. We derive the induced metric as well as the affine connections and curvature tensors. Since the induced metric is discontinuous, one can expect ambiguity coming from these quantities, due to products between delta functions or its derivatives, plaguing a description of ball dislocations based on the Geometric Theory of Defects. However, exactly as in the previous case of cylindric defect, one can obtain some well-defined physical predictions of the induced geometry. In particular, we explore some properties of test particle trajectories around the defect and show that these trajectories are curved but can not be circular orbits.Comment: 11 pages, 3 figure

The Network of Epicenters of the Olami-Feder-Christensen Model of Earthquakes

We study the dynamics of the Olami-Feder-Christensen (OFC) model of earthquakes, focusing on the behavior of sequences of epicenters regarded as a growing complex network. Besides making a detailed and quantitative study of the effects of the borders (the occurrence of epicenters is dominated by a strong border effect which does not scale with system size), we examine the degree distribution and the degree correlation of the graph. We detect sharp differences between the conservative and nonconservative regimes of the model. Removing border effects, the conservative regime exhibits a Poisson-like degree statistics and is uncorrelated, while the nonconservative has a broad power-law-like distribution of degrees (if the smallest events are ignored), which reproduces the observed behavior of real earthquakes. In this regime the graph has also a unusually strong degree correlation among the vertices with higher degree, which is the result of the existence of temporary attractors for the dynamics: as the system evolves, the epicenters concentrate increasingly on fewer sites, exhibiting strong synchronization, but eventually spread again over the lattice after a series of sufficiently large earthquakes. We propose an analytical description of the dynamics of this growing network, considering a Markov process network with hidden variables, which is able to account for the mentioned properties.Comment: 9 pages, 10 figures. Smaller number of figures, and minor text corrections and modifications. For version with full resolution images see http://fig.if.usp.br/~tpeixoto/cond-mat-0602244.pd

The effect of different remineralizing agents on caries-like lesions – a pilot study

Poster apresentado no XXV Congresso da Ordem dos Médicos Dentistas, 10-12 Novembro 2016, Porto, PortugalSob uma licença CC-BY-NC - http://creativecommons.org/licenses/by-nc/4.0/Aim: To quantify the surface microhardness of enamel when using different remineralizing agents, after the induction of artificial dental caries.N/

Tutorial TaxTools.

A ferramenta TaxTools foi desenvolvida pelo Laboratório de Inteligência Computacional (Labic) do Instituto de Ciência Matemática e de Computação (ICMC) da Universidade de São Paulo (USP), campus de São Carlos, SP, com o objetivo de auxiliar no processo de mineração de textos. Atualmente, ela tem sido mantida e evoluída pelo Laboratório de Inteligência Computacional (LabIC) da Embrapa Informática Agropecuária. Esse tutorial abrange apenas as opções disponíveis na TaxTools, que completam o processo de obtenção de uma taxonomia de tópicos (MOURA et al., 2008); como clusterização, cálculos de medidas intercluster e de joinability, métodos de podas, métodos de visualização de resultados e algumas opções auxiliares.bitstream/item/30572/1/doc104.pd

Synthesis of Tetracyclic systems and (Thio)Ureas from Aminodi(Hetero)Arylamines in the Thieno[3,2-b]Pyridine series

Foundation for the Science and Technology (FCT–Portugal) for financial support through the Portuguese NMR network (Bruker 400 Avance III-Univ Minho). FCT and FEDER (European Fund for Regional Development)-COMPETE/QREN/EU for financial support through the research centre PEst-C/QUI/UI686/2011, the research project PTDC/QUI-QUI/111060/2009 and the post-doctoral grant of R.C.C. SFRH/BPD/68344/2010

Caracterização comparativa de propriedades que desenvolvem atividade pecuária em assentamentos rurais de Tomé-Açu e Paragominas: manejo das pastagens, acesso as estradas e nível de produtividade.

O presente estudo buscou efetuar a caracterização do manejo das pastagens, bem como as condições das estradas de acesso e o nível de produtividade de propriedades envolvidas com a atividade pecuária em assentamentos rurais de Tomé-Açu e Paragominas, as quais estão localizadas no Nordeste e Sudeste paraense, respectivamente. Noventa e cinco produtores foram entrevistados quanto à presença ou não de áreas de pastagens quando da aquisição das propriedades, assim como quanto à formação de novas áreas, uso do fogo, tipo de gramínea presente na pastagem, período de utilização de um mesmo pasto, vacinação contra febre aftosa, utilização de mistura mineral, produção diária de leite e quanto às condições de trafegabilidade das estradas que dão acesso às propriedades durante o período chuvoso. Foi observado que a atividade pecuária não é viável nas propriedades investigadas em razão da baixa adoção tecnológica e produtividade dos rebanhos. A cobertura vacinal foi insuficiente o que coloca em risco todo o setor produtivo da pecuária. As forrageiras presentes nas propriedades basicamente foram a Brachiaria brizantha cv Marandú e a Brachiaria humidicula, o que revela o risco quanto à incidência de pragas e doenças