Self-action of Femtosecond Optical Vortex in a Medium with Kerr Nonlinearity.- Diagnostic of Peak Laser Intensity by Electron and Positron Production from Laser Plasma.- Theoretical Model for Simulation of Rotational Excitation in Air-lasing.- Photocatalysts for Reduction of Molecular Oxygen to Hydrogen Peroxide.- Rare Earth Ion Based Luminescence Thermometry.