https://repositorio.ufu.br/handle/123456789/5155 Mon, 01 Jun 2026 04:35:41 GMT 2026-06-01T04:35:41Z https://repositorio.ufu.br/handle/123456789/48722 Title: Avaliação das variáveis climáticas: precipitação, temperatura e umidade relativa do ar da cidade de Franca-SP por meio de análise de séries temporais Abstract: Understanding how climatic conditions interfere with agriculture is fundamental, especially for coffee cultivation, one of the main economic activities in the city of Franca-SP, recognized for its relevance in coffee production in Brazil. In this context, the objective of this study was to adjust time series models capable of predicting climatic variables such as monthly precipitation, average temperature, and relative air humidity, contributing to assisting in the decision-making of coffee growers and rural producers. To this end, SARIMA-type models were adjusted using profitable monetary data between January 2011 and May 2025, planned for the period from January to May 2025. The model selection criteria were based on the lowest values of the Akaike Information Criterion (AIC) and the Bayesian Schwarz Criterion (BIC). Predictive per formance was evaluated using the metrics RMSE (Root Mean Squared Error), MAE (Mean Absolute Error), MASE (Mean Absolute Scaled Error), and ME (Mean Error). The results in dicated distinct performances for each climatic variation. The total monthly exception showed reasonable performance with the SARIMA (0,0,1)(0,1,1)12 model, possibly due to the high variability characteristic of this variable. The average monthly temperature showed the best performance among the variables tested with the SARIMA (1,0,1)(0,1,1)12 model, demonstra ting high precision in the isolated variables. Relative air humidity showed superior results with the SARIMA (0,0,1)(0,1,1)12 model, although with superior performance compared to tempe rature. Overall, the results indicate that models from the SARIMA family can be useful tools for forecasting climate variations, potentially assisting in planning and decision-making related to coffee crop management. Mon, 16 Mar 2026 00:00:00 GMT https://repositorio.ufu.br/handle/123456789/48722 2026-03-16T00:00:00Z https://repositorio.ufu.br/handle/123456789/48576 Title: A fatoração de xⁿ-1 em binômios e trinômios irredutíveis sobre os corpos com 2 e 4 elementos Abstract: Let q be a prime power and Fq the finite field with q elements. The factorization of polynomials over finite fields plays a fundamental role in several areas, such as error-correcting coding theory and cryptography. A particularly important polynomial is xⁿ-1, since, for example, each of its irreducible factors corresponds to a cyclic code. Under certain conditions, the polynomial xⁿ-1 factors exclusively into irreducible binomials and trinomials over Fq. In this case, we say that the pair (n, q) is 3-sparse. The aim of this work is to give a complete classification of the pairs (n, 2) and (n, 4) that are 3-sparse. Thu, 19 Feb 2026 00:00:00 GMT https://repositorio.ufu.br/handle/123456789/48576 2026-02-19T00:00:00Z https://repositorio.ufu.br/handle/123456789/48412 Title: Fibrado de memórias acadêmicas Fri, 20 Feb 2026 00:00:00 GMT https://repositorio.ufu.br/handle/123456789/48412 2026-02-20T00:00:00Z https://repositorio.ufu.br/handle/123456789/48333 Title: Existência e Unicidade de Medidas de Equilíbrio para o Fluxo Geométrico de Lorenz Abstract: This thesis addresses the problem of uniqueness of equilibrium states for the geometric Lorenz flow within the framework of thermodynamic formalism. The system is analyzed through its representation as a suspension flow over a two-dimensional Poincaré map P(x,y) = (L(x), g(x,y)), which is a partially hyperbolic extension of a one-dimensional Lorenz-like map L. While previous results by Bronzi and Oler [BO18] established generic uniqueness for the one-dimensional case, the transition to higher dimensions and continuous time remained a technical challenge due to transverse contraction and the flow's singularity. Our main result proves that, for the space of piecewise Hölder potentials, there exists an open and dense subset H for which the flow admits a unique equilibrium state. The proof is based on a hierarchical approach that begins with the geometric description of the attractor and the formalization of dimensional correspondences (Chapter 1). We then proceed to demonstrate generic uniqueness for the two-dimensional base map (Chapter 3) and the development of a shifted operator J which, through Abramov's formulas, allows for the transfer of openness and density properties from the base to the suspension flow (Chapter 4). This work unifies and extends existing literature, consolidating the genericity of uniqueness in singular-hyperbolic systems. Wed, 11 Feb 2026 00:00:00 GMT https://repositorio.ufu.br/handle/123456789/48333 2026-02-11T00:00:00Z