A semiregular symmetry in a graph is a symmetry which moves all the vertices in cycles of
the same length. The ‘diagram' of such a symmetry has one ’node’ for each cycle and links
joining nodes, one for each orbit of edges joining vertices of those cycles.
We will see wht we can learn about the graph from the diagram, and how to re-construct
the graph from the diagram. We will discuss what makes a diagram ‘good’ and how to find
good diagrams.
Kinetic models are used to simulate the collective behavior of particle systems. They provide a mesoscopic description that forms a link between continuum fluid models, which are not valid in non-equilibrium settings, and molecular dynamics models, which are often too expensive for practical purposes. In this talk, I will introduce the basic formalism of kinetic theory and discuss some relevant applications. I will then present a few of the many numerical challenges, along with some mathematical approaches for addressing them.
Abstract LiDAR point clouds contain measurements of complicated natural scenes and can be used to update digital elevation models, glacial monitoring, detecting faults and measuring uplift detecting, forest inventory, detect shoreline and beach volume changes, landslide risk analysis, habitat mapping, and urban development, among others. A very important application is the classification of the 3D cloud into elementary classes. For example, it can be used to differentiate between vegetation, man-made structures, and water.
TBA