Statistical shape modeling aims at capturing variations of an anatomical structure that occur within a given population. Shape models are employed in many tasks, such as reconstruction and image segmentation, but also generation classification. Existing priors either require dense correspondence between training examples or lack robustness topological guarantees. We present FlowSSM, novel appro...

A statistical description of heavy particles suspended in incompressible rough self-similar flows is developed. It is shown that, differently from smooth flows, particles do not form fractal clusters. They rather distribute inhomogeneously with a statistics that only depends on a local Stokes number, given by the ratio between the particles' response time and the turnover time associated with t...

Microcanonical thermodynamics [D. H. E. Gross, Microcanonical Thermodynamics, Phase Transitions in "Small" Systems (World Scientific, Singapore, 2001)] allows the application of statistical mechanics both to finite and even small systems and also to the largest, self-gravitating ones. However, one must reconsider the fundamental principles of statistical mechanics especially its key quantity, e...