Weakened notions of equilibria and optimality in conflict problems

For arbitrary conflict and game problems stated in the most general setting, we introduce new notions of weak equilibrium and optimality, which are rather peculiar combinations of the notions of Pareto or Slater optimality and conflict stability. For an arbitrary conflict, these new notions simplify finding a unique fair solution suiting all participants.     

Construction of a Fuchs equation with four singular points and with given reducible 2 × 2 monodromy matrices on the complex projective line

On the complex projective line, we construct a Fuchs equation with four singular points and with given reducible 2 × 2 monodromy matrices such that the fundamental solution matrix of this equation realizes a given homomorphism.     

Backward Terahertz Radiation from a Two-Color Femtosecond Laser Filament

A change in the quasistatic magnetic susceptibility in thin plates of iron borate (FeBO₃), which is a weak ferromagnet, has been revealed at adsorption of water molecules. The measurements have been performed at room temperature with the use of the magneto-optical Faraday effect. The change of the susceptibility in saturated water vapors is about 30%. The observed effect is reversible. The time of establishing the susceptibility after the introduction of water vapors is 1.5 min, which is twice as large as the time of establishing the susceptibility after the evacuation. The effect is explained by the appearance of uniaxial surface magnetic anisotropy in the basal plane because of the adsorption of water molecules.     

Dynamics of the Remote and Contact Interaction of Liquid Droplets with Film-Like and Fibrous-Porous Polymeric Materials

Russian Journal of General Chemistry - The problem of inkjet printing quality was considered for the case of synthetic polymer-based film-like and fibrous-porous materials. Physical modeling of...