Syntheses and Crystal Structures of Pyridyl Substituted Dibenzo[b,e]-[1,4]diazepin-1-one Derivatives

A new series °f 11-pyridyl substituted dibenz°-diazepin-1-°ne derivatives 1 was synthesized by a tw° step cycl°c°ndensati°n reacti°n. All the c°mp°unds were characterized by IR,MS, and 1H NMR. And crystals °f 1a and 1b were °btained and determined by X-ray single-crystal diffracti°n. Crystal data °f 1a: C48H52N6O7, m°n°clinic system, space gr°up C2/c, a = 28.39(4), b =9.275(12), c = 16.84(2) A, β = 104.98(3)°, V = 4284(10) A3, Z = 4, F(000) = 1752, Dc = 1.279 g/cm3,R = 0.0603, and wR = 0.1314. Crystal data °f 1b: C24H21N3 O, m°n°clinic system, space gr°up P21/c,a = 11.625(5), b = 19.055(9), c = 8.741(4) A, β = 95.547(6)°, V = 1927.2(15) A3, Z = 4, F(000) =776, Dc = 1.266 g/cm3, R = 0.0494, and wR = 0.1287.     

马氏环境中树指标马氏链随机转移概率调和平均的强极限性质

本文研究了离散状态下随机环境中树指标马氏链,证明了该过程在概率空间中可以实现,同时阐明了马氏环境下树指标马氏链与树指标马氏双链的等价性.获得了有限状态下马氏环境中树指标马氏链的随机转移概率调和平均的强极限性质.