Coexistence of Stable Limit Cycles in a Generalized Curie–Weiss Model with Dissipation

In this paper, we modify the Langevin dynamics associated to the generalized Curie–Weiss model by introducing noisy and dissipative evolution in the interaction potential. We show that, when a zero-mean Gaussian is taken as single-site distribution, the dynamics in the thermodynamic limit can be described by a finite set of ODEs. Depending on the form of the interaction function, the system can have several phase transitions at different critical temperatures. Because of the dissipation effect, not only the magnetization of the systems displays a self-sustained periodic behavior at sufficiently low temperature, but, in certain regimes, any (finite) number of stable limit cycles can exist. We explore some of these peculiarities with explicit examples

Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model

We consider an inviscid stochastically forced dyadic model, where the additive noise acts only on the first component. We prove that a strong solution for this problem exists and is unique by means of uniform energy estimates. Moreover, we exploit these results to establish strong existence and uniqueness of the stationary distribution

De la responsabilidad social empresarial y su articulación política para la educación de los niños del sector rural Fundación Escuela Nueva "Volvamos a la Gente"

Politólogo (a)Pregrad

Large deviations for Markov jump processes with uniformly diminishing rates

We prove a large-deviation principle (LDP) for the sample paths of jump Markov processes in the small noise limit when, possibly, all the jump rates vanish uniformly, but slowly enough, in a region of the state space. We further discuss the optimality of our assumptions on the decay of the jump rates. As a direct application of this work we relax the assumptions needed for the application of LDPs to, e.g., Chemical Reaction Network dynamics, where vanishing reaction rates arise naturally particularly the context of mass action kinetics

Large deviations for Markov jump processes with uniformly diminishing rates

We prove a large-deviation principle (LDP) for the sample paths of jump Markov processes in the small noise limit when, possibly, all the jump rates vanish uniformly, but slowly enough, in a region of the state space. We further show that our assumptions on the decay of the jump rates are optimal. As a direct application of this work we relax the assumptions needed for the application of LDPs to, e.g., Chemical Reaction Network dynamics, where vanishing reaction rates arise naturally particularly the context of Mass action kinetics

Um aplicativo iPhone para a rastreabilidade da ferrugem asiática da soja no Brasil.

RESUMO: A soja é, no Brasil, um dos principais itens da produção agrícola, sendo o país o segundo maior produtor mundial deste grão. Devido ao grande crescimento da produção nas últimas décadas, a soja, tornou-se o foco dos principais órgãos relacionados ao agro-negócio brasileiro. Com a introdução da ferrugem asiática da soja no Brasil, um melhor gerenciamento no combate a essa doença se tornou necessária, sendo assim, criado em setembro de 2004, o Consórcio Antiferrugem surgiu com a finalidade de trazer soluções de manejo e controle da dispersão desta doença no Brasil. Este artigo descreve o desenvolvimento de um aplicativo iPhone, criado para dar suporte ao sistema Web do Consórcio Antiferrugem, como uma ferramenta móvel auxiliando o monitoramento da dispersão e a rastreabilidade da ferrugem asiática da soja no Brasil. ABSTRACT: Soybean is one of the major items of agricultural production in Brazil, being the country the second largest producer of this grain. Due to the large increase in production in recent decades, soybean has become the focus of the main organs related to brazilian agribusiness. With the introduction of Asian soybean rust in Brazil, a better management of this disease became necessary, therefore, created in September 2004, the Consortium Antirust emerged with the purpose to bringing solutions to help manage and control the spread of this disease in Brazil. This article describes the development of an iPhone application, designed to support the Antirust Consortium Web System as a mobile tool to assist on monitoring and tracking the dispersion of soybean rust in Brazil.Trabalho apresentado no III Simpósio de Computação Aplicada, Passo Fundo, 2011