One of the new area of research emerging in the field of statistics is the shape analysis. Shape is defined as all the geometrical information of an object whose location, scale and orientation is not of interest. Diffusion in shape analysis can be studied via either perturbation of the key coordinates identifying the initial object or random evolution of the shape itself. Reviewing the f...

At present, when scope and dynamics of the information publication in the Internet give all grounds to use the term information flows [1], to study their dynamics becomes urgent. The diversity in the behavior of publications according to various topics and the complexity of cross-impact of various publications prove the necessity to seek new methods which have not been known in this field befor...

Real diffusion networks are complex and dynamic, since underlying social structures are not only far-reaching beyond a single homogeneous system but also frequently changing with the context of diffusion. Thus, studying topic-related diffusion across multiple social systems is important for a better understanding of such realistic situations. Accordingly, this thesis focuses on uncovering topic...