The diffusion of innovation in the field software engineering is not well understood. This paper looks at how the legal field treats evidence in an attempt to identify ideas useful to both software engineering researchers and practitioners.

The process for the dissemination of scientific ideas is a complex one. Scientific Peers, as many others, tend initially to overlook and hesitate about new contributions by their colleagues, and often resist to their eventual integration in the basic disciplinary framework (Kuhn, 1970). Economics is not unlike other sciences in this respect, though this process of diffusion of ideas remains sca...

In this paper, we apply the ideas of the matrix column based diffusion approach to define a new eigenvector computation algorithm of a stationary probability of a Markov chain.

Diffusion geometry techniques are useful to classify patterns and visualize high-dimensional datasets. Building upon ideas from diffusion geometry, we outline our mathematical foundations for learning a function on high-dimension biomedical data in a local fashion from training data. Our approach is based on a localized summation kernel, and we verify the computational performance by means of e...

We consider diffusion processes xt on the unit interval. Doobtransformation techniques consist of a selection of xt−paths procedure. The law of the transformed process is the one of a branching diffusion system of particles, each diffusing like a new process x̃t, superposing an additional drift to the one of xt. Killing and/or branching of x̃t−particles occur at some space-dependent rate λ. For t...

In this paper, using the ideas of Bessi and Mather, we present a simple mechanical system exhibiting Arnold diffusion. This system of a particle in a small periodic potential can be also interpreted as ray propagation in a periodic optical medium with a near-constant index of refraction. Arnold diffusion in this context manifests itself as an arbitrary finite change of direction for nearly cons...

In magnetic resonance diffusion tensor imaging (DTI), the direction and magnitude of diffusion of water molecules is characterized by a diffusion tensor. In the central nervous system, the highly organized fibre structure of white matter fibre tracts causes the diffusion to be anisotropic. From the DTI data, one can calculate a vector field representing the preferred direction of diffusion at e...

The diffusion of information, ideas, opinions and media in a social network and the influence of individual nodes on the diffusion process are important questions in the social sciences. However, till date, there has been no method to automatically capture fine-grained social interactions between people and utilize it to better model the diffusion process. In this paper, we describe the use of ...

Abstract. The global existence of a non-negative weak solution to a multi-dimensional parabolic strongly coupled model for two competing species is proved. The main feature of the model is that the diffusion matrix is non-symmetric and generally not positive definite and that the non-diagonal matrix elements (the cross-diffusion terms) are allowed to be “large”. The ideas of the existence proof...