We study the action of the horocycle flow on the moduli space of abelian differentials in genus two. In particular, we exhibit a classification of a specific class of probability measures that are invariant and ergodic under the horocycle flow on the stratum H(1, 1).

In this paper we study the problem of tracking a reference signal from the H 1 point of view. As opposed to general H 1 problems, where only suboptimal solutions are obtained, we show that for both the full information and measurement feedback tracking problems the H 1-optimal solutions can be explicitly found. The results also indicate an interesting dichotomy between minimum phase and non-min...

I consider the calculation of the two and three-point functions for QED at finite temperature in the presence of a background plasma velocity. The final expressions are consistent with Lorentz invariance, gauge invariance and current conservation, pointing to a straightforward generalization of the hard thermal loop formalism to this physical situation. I also give the resulting expression for ...

five new 1-hydroxy-2-(1-alkyloxymethyl)-9,10-anthraquinones (9a-e) have been prepared. selective nitration of 2-methyl-9,10-anthraquinone, reduction to the corresponding amine, diazotization and treatment by sulfuric acid solution afforded the 1-hydroxy-2-methyl-9,10-anthraquinone in good yield as the key intermediate. reaction with dimethylsulphate/k2co3 and subsequent monobromination with nbs...

The genus Hypericum is one of the most important medicinal plants that contain 17 species in Iran, three of them are endemics. This paper reports the essential oil composition of eight Hypericum species from Iran. The essential oil analysis of a number of the studied plants has already been reported but their report from Iran may be valuable for scientists.  Samples collected from different pla...