Fractal dimension for Gaussian colored processes

The exact analytical expression for the Hausdorff dimension of free processes driven by Gaussian noise in n-dimensional space is obtained. The fractal dimension solely depends on the time behavior of the arbitrary correlation function of the noise, ranging from DX=1 for Orstein-Uhlenbeck input noise to any real number greater than 1 for fractional Brownian motions.

Free inertial processes driven by Gaussian noise: Probability distributions, anomalous diffusion and fractal behavior

We study the motion of an unbound particle under the influence of a random force modeled as Gaussian colored noise with an arbitrary correlation function. We derive exact equations for the joint and marginal probability density functions and find the associated solutions. We analyze in detail anomalous diffusion behaviors along with the fractal structure of the trajectories of the particle and explore possible connections between dynamical exponents of the variance and the fractal dimension of the trajectories.

Iowa Civil Rights Commission, 46 Years of Working Toward a State Free of Discrimination Through Enforcement of Civil Rights Laws, Annual Report FY2011

The mission of the Iowa Civil Rights Commission is to end discrimination within the state of Iowa. To achieve this goal, the ICRC must effectively enforce the Iowa Civil Rights Act. The ICRA will be as effective as the Commission is in processing complaints of discrimination. The ICRC undertook significant steps forward in improving the timeliness and competency by which complaints of discrimination are processed. The screening unit was increased with special emphasis on improving the quality and quantity of the analysis of the initial screening decisions. The investigative process for nonhousing cases was completely overhauled. The improved process builds on the screening decision and focuses on the issues raised in that decision. The new process will help the ICRC reduce a significant backlog for non-housing cases. Additionally, we revamped the mediation program by moving to an allvolunteer mediation program. Over 20 Iowa lawyers volunteered to help the ICRC resolve complaints through alternative dispute resolution.

Generation of uncorrelated random scale-free networks

Uncorrelated random scale-free networks are useful null models to check the accuracy and the analytical solutions of dynamical processes defined on complex networks. We propose and analyze a model capable of generating random uncorrelated scale-free networks with no multiple and self-connections. The model is based on the classical configuration model, with an additional restriction on the maximum possible degree of the vertices. We check numerically that the proposed model indeed generates scale-free networks with no two- and three-vertex correlations, as measured by the average degree of the nearest neighbors and the clustering coefficient of the vertices of degree k, respectively.