Let be a non-constant elliptic function. We prove that the Hausdorff dimension of the escaping set of f equals 2q/(q+1), where q is the maximal multiplicity of poles of f. We also consider the escaping parameters in the family fβ = βf, i.e. the parameters β for which the orbit of one critical value of fβ escapes to infinity. Under additional assumptions on f we prove that the Hausdorff dimension of the set of escaping parameters ε in the family fβ is greater than or equal to the Hausdorff dimension of the escaping set in the dynamical space. This demonstrates an analogy between the dynamical plane and the parameter plane in the class of transcendental meromorphic functions.

University of California (UC) scientists have established critical values (CVs) for almond production, but the nutritional information the CVs provide may be outdated and insufficient. In December 2006, researchers at UC Davis conducted focus group interviews with a sample of stakeholders in California's almond industry. The focus groups were designed to collect information relating to factors affecting growers' nutrition decisions, priorities in education and research relating to plant nutrition, and expected consequences of environmental regulation for the industry. Stakeholders identified problems with the CVs and voiced concern about the future of the almond industry in light of impending environmental regulations. Many stakeholders identified university research as a way to protect the industry by providing strong, recent scientific data on which nutritional limits and environmental regulations can be based. The focus groups served as a useful research method for obtaining detailed information about stakeholders' motivations and priorities and also for informing a quantitative follow-up survey that was subsequently mailed to a larger population of Californian almond growers.

The estimation of critical values is one of the most interesting problems in the study of interacting particle systems. The bounds obtained analytically are not usually very tight and, therefore, computer simulation has been proved to be very useful in the estimation of these values. In this paper we present a new method for the estimation of critical values in any interacting particle system with an absorbing state. The method, based on the asymptotic behaviour of the absorption time of the process, is very easy to implement and provides good estimates. It can also be applied to processes different from particle systems.

Interacting particle systems provide an attractive framework for modelling the growth and spread of biological populations and diseases. One problem with their use in applications is that in most cases the existing information about their critical values and equilibrium densities is too crude to be useful. In this paper we describe a method for estimating these quantities that does not require very much computer time and produces fairly accurate results.