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| Preview | Title | Author(s) | ???itemlist.dc.contributor.author1??? | Issue Date | ???itemlist.dc.description.resumo??? |
|---|---|---|---|---|---|
| Factorization of large numbers and the suggestion of an algorithm | Oliveira, Fabiano Sutter de | - | 2006 | In this paper, we intend to present a new algorithm to factorize large numbers. According to the algorithm proposed here, we prove that there is a common factor between p and q. With this procedure, the time of factorization considerably decreases. The algorithm is based on a graphic representation and, when the corresponding graph is drawn, coordinate pairs will originate two straight lines that intercept one another. These coordinate pairs are formed by prime numbers in the x-axis, and factors in the y-axis, including the factor in common. | |
| Prêmio Almirante Álvaro Alberto para a Ciência e Tecnologia : Ciências Matemáticas e Ciências Químicas 1996 | - | Brasil. Ministério da Ciência e Tecnologia (MCT); Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil) (CNPq) | 1996 | - | |
| Stochastic quantization for complex actions | Menezes, Gabriel; Svaiter, Nami Fux | Centro Brasileiro de Pesquisas Físicas (CBPF) | 2008 | We use the stochastic quantization method to study systems with complex valued path integral weights. We assume a Langevin equation with a memory kernel and Einstein's relations with colored noise. The equilibrium solution of this non-Markovian Langevin equation is analyzed. We show that for a large class of elliptic non-Hermitian operators acting on scalar functions on Euclidean space, which define different models in quantum field theory, converges to an equilibrium state in the asymptotic limit of the Markov parameter. Moreover, as we expected, we obtain the Schwinger functions of the theory. |
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