For rational functions it is proved that the Julia set contains buried components whenever the Julia set is disconnected and the Fatou set has no completely invariant component. For transcendental entire functions of ...For rational functions it is proved that the Julia set contains buried components whenever the Julia set is disconnected and the Fatou set has no completely invariant component. For transcendental entire functions of finite type it is proved that the Julia set contains unbounded continua of buried points whenever the Fatou set is disconnected.展开更多
In this note,it is shown that if a rational function f of degree≥2 has a nonempty set of buried points,then for a generic choice of the point z in the Julia set, z is a buried point,and if the Julia set is...In this note,it is shown that if a rational function f of degree≥2 has a nonempty set of buried points,then for a generic choice of the point z in the Julia set, z is a buried point,and if the Julia set is disconnected,it has uncountably many buried components.展开更多
The paper introduces the steps and methods of multi-approach, multi-level exploration of buried faults in thick Quaternary sediment regions by taking the test exploration of the Yinchuan active fault as example. Based...The paper introduces the steps and methods of multi-approach, multi-level exploration of buried faults in thick Quaternary sediment regions by taking the test exploration of the Yinchuan active fault as example. Based on the comprehensive analyses of previous data, we choose the Xinqushao Village of Xingqing District of Yinchuan City as the test site for the comprehensive exploration. Firstly, we adopted shallow seismic investigation with group intervals of 10m, 5m and lm to gradually trace layer by layer the master fault of the Yinchuan buried fault from a deep depth to a shallow depth where drilling could be used. Then, with composite geological profile drilling, we determined the precise location and dip angle of the fault. The drilling show the buried depth of the upper offset point is 8.3m. Finally, large-scale trenching revealed that the actual buried depth of the upper offset point of the fault is 1.5m from the ground surface and there are paleoearthquake events of 5 stages. Combined with the preliminary result of corresponding sample age, we conclude the Yinchuan buried fault is a mid to late Holocene active fault.展开更多
文摘For rational functions it is proved that the Julia set contains buried components whenever the Julia set is disconnected and the Fatou set has no completely invariant component. For transcendental entire functions of finite type it is proved that the Julia set contains unbounded continua of buried points whenever the Fatou set is disconnected.
基金a UGC grantof Hong KongProject No.HKUST60 70 / 98P
文摘In this note,it is shown that if a rational function f of degree≥2 has a nonempty set of buried points,then for a generic choice of the point z in the Julia set, z is a buried point,and if the Julia set is disconnected,it has uncountably many buried components.
基金The research was jointly sponsored by the National Development and Reform Commission of China under the project of"Experimental Exploration of Active Fault in Urban Area"(20041138)by National Natural Science Foundation of China (40234040)
文摘The paper introduces the steps and methods of multi-approach, multi-level exploration of buried faults in thick Quaternary sediment regions by taking the test exploration of the Yinchuan active fault as example. Based on the comprehensive analyses of previous data, we choose the Xinqushao Village of Xingqing District of Yinchuan City as the test site for the comprehensive exploration. Firstly, we adopted shallow seismic investigation with group intervals of 10m, 5m and lm to gradually trace layer by layer the master fault of the Yinchuan buried fault from a deep depth to a shallow depth where drilling could be used. Then, with composite geological profile drilling, we determined the precise location and dip angle of the fault. The drilling show the buried depth of the upper offset point is 8.3m. Finally, large-scale trenching revealed that the actual buried depth of the upper offset point of the fault is 1.5m from the ground surface and there are paleoearthquake events of 5 stages. Combined with the preliminary result of corresponding sample age, we conclude the Yinchuan buried fault is a mid to late Holocene active fault.
