Duality and exact correlations for a model of heat conduction

We study a model of heat conduction with stochastic diffusion of energy. We obtain a dual particle process which describes the evolution of all the correlation functions. An exact expression for the covariance of the energy exhibits long-range correlations in the presence of a current. We discuss the formal connection of this model with the simple symmetric exclusion process.Comment: 19 page

Stretched Exponential Relaxation in the Biased Random Voter Model

We study the relaxation properties of the voter model with i.i.d. random bias. We prove under mild condions that the disorder-averaged relaxation of this biased random voter model is faster than a stretched exponential with exponent $d/(d+\alpha)$, where $0<\alpha\le 2$ depends on the transition rates of the non-biased voter model. Under an additional assumption, we show that the above upper bound is optimal. The main ingredient of our proof is a result of Donsker and Varadhan (1979).Comment: 14 pages, AMS-LaTe

Análise de crescimento de progênies da bacabi (Oenocarpus mapora Kasten) em sistemas agroflorestais.

Bacabi (Oenocarpus mapora Kasten) é uma palmeira nativa da Amazônia que é utilizada na alimentação humana para a confecção do refresco da polpa de seus frutos. Objetivou-se na pesquisa analisar a taxa de crescimento de altura e diâmetro de 38 progenies de bacabi, em sistemas agoflorestais (SAF). O experimento foi desenvolvido na Comunidade de Campo Limpo no Município de Santo Antônio do Tauá-Pará, entre os meses de janeiro a abril de 2006. O SAF foi composto por mandioca, cupuaçu, banana, bacabi e pau-rosa. Foram analisadas 38 progênies de polinização aberta, com delineamento em blocos ao acaso, com duas repetições e cinco plantas por parcela. A taxa de crescimento absoluto (TCA) foi representada pela variação, ou incremento entre duas avaliações 12 e 30 meses após o plantio, sendo calculadas posteriormente a taxa de crescimento absoluto da altura de plantas (TCAA) e a taxa de crescimento absoluto do diâmetro de plantas (TCAD). As progênies de bacabi foram avaliadas aos 30 meses, a análise mostrou que em relação a TCAA as médias variaram de 0,14 a 0,42 cm/dia, sendo que os maiores valores foram registrados nas progênies 002 e 009 provenientes da Embrapa, com médias de 0,41 e 0,42 cm/dia, respectivamente, atingindo crescimento rápido e precoce. Para o caráter TCAD, as médias oscilaram entre 0,01 a 0,07 mm/dia com média de 0,03 mm/dia. O crescimento em altura e diâmetro das progênies em SAF foi considerado rápido, sendo diferenciados pelas diferentes procedências e características genéticas das progênies.Editores técnicos: Roberto Porro, Milton Kanashiro, Maria do Socorro Gonçalves Ferreira, Leila Sobral Sampaio e Gladys Ferreira de Sousa

Stochastic interacting particle systems out of equilibrium

This paper provides an introduction to some stochastic models of lattice gases out of equilibrium and a discussion of results of various kinds obtained in recent years. Although these models are different in their microscopic features, a unified picture is emerging at the macroscopic level, applicable, in our view, to real phenomena where diffusion is the dominating physical mechanism. We rely mainly on an approach developed by the authors based on the study of dynamical large fluctuations in stationary states of open systems. The outcome of this approach is a theory connecting the non equilibrium thermodynamics to the transport coefficients via a variational principle. This leads ultimately to a functional derivative equation of Hamilton-Jacobi type for the non equilibrium free energy in which local thermodynamic variables are the independent arguments. In the first part of the paper we give a detailed introduction to the microscopic dynamics considered, while the second part, devoted to the macroscopic properties, illustrates many consequences of the Hamilton-Jacobi equation. In both parts several novelties are included.Comment: 36 page

Targeting BET bromodomain proteins in solid tumors

There is increasing interest in inhibitors targeting BET (bromodomain and extra-terminal) proteins because of the association between this family of proteins and cancer progression. BET inhibitors were initially shown to have efficacy in hematologic malignancies; however, a number of studies have now shown that BET inhibitors can also block progression of non-hematologic malignancies. In this Review, we summarize the efficacy of BET inhibitors in select solid tumors; evaluate the role of BET proteins in mediating resistance to current targeted therapies; and consider potential toxicities of BET inhibitors. We also evaluate recently characterized mechanisms of resistance to BET inhibitors; summarize ongoing clinical trials with these inhibitors; and discuss potential future roles of BET inhibitors in patients with solid tumors

Stochastic Duality and Orthogonal Polynomials

For a series of Markov processes we prove stochastic duality relations with duality functions given by orthogonal polynomials. This means that expectations with respect to the original process (which evolves the variable of the orthogonal polynomial) can be studied via expectations with respect to the dual process (which evolves the index of the polynomial). The set of processes include interacting particle systems, such as the exclusion process, the inclusion process and independent random walkers, as well as interacting diffusions and redistribution models of Kipnis–Marchioro–Presutti type. Duality functions are given in terms of classical orthogonal polynomials, both of discrete and continuous variable, and the measure in the orthogonality relation coincides with the process stationary measure