14 research outputs found
Flows for rectangular matrix models
Several new results on the multicritical behavior of rectangular matrix
models are presented. We calculate the free energy in the saddle point
approximation, and show that at the triple-scaling point, the result is the
same as that derived from the recursion formulae. In the triple-scaling limit,
we obtain the string equation and a flow equation for arbitrary multicritical
points. Parametric solutions are also examined for the limit of almost-square
matrix models. This limit is shown to provide an explicit matrix model
realization of the scaling equations proposed to describe open-closed string
theory.Comment: 13 pages, LaTeX, McGill/93-2
Regiodivergent Late-Stage Pd- or Ru-Catalyzed C-H Bond Functionalization Applied to the Straightforward Synthesis ofN-Methylated Diflufenican Derivatives
International audienceThe late-stage C-H diversification methodology was applied to the preparation of arylated Diflufenican derivatives. Using a palladium catalyst associated with potassium pivalate, a regioselective arylation of the C-H bond flanked by the two fluorine atoms was observed. The reaction tolerated a wide range of useful functional groups on the aryl bromide. Conversely, the use of a ruthenium catalyst allowed to arylate the trifluoromethylbenzene ring of Diflufenican. To the best of our knowledge, these synthetic schemes are the first ones allowing the preparation of such arylated Diflufenican derivatives