Abstract. We continue the study of convergence of multipole pluricomplex Green functions for a bounded hyperconvex domain of C n , in the case where poles collide. We consider the case where all poles do not converge to the same point in the domain, and some of them might go to the boundary of the domain. We prove that weak convergence will imply convergence in capacity; that it implies convergence uniformly on compacta away from the poles when no poles tend to the boundary; and that the study can be reduced, in a sense, to the case where poles tend to a single point. Furthermore, we prove that the limits of Green functions can be obtained as limits of functions of the type max 1≤i≤3n 1 p log |f i |, where the f i are holomorphic functions.

Digital microfluidic technology has been extensively applied in various biomedical fields. Different from application-specific biochips, a programmable design has several advantages such as dynamic reconfigurability and general applicability. Basically, a programmable biochip divides the chip into several virtual modules. However, in the previous design, a virtual module can execute only one operation at a time. In this paper, the authors propose a new multi-functional module for programmable digital microfluidic biochips, which can execute two operations simultaneously. Moreover, they also propose a binding and scheduling algorithm for programmable biochips, which is motivated from a graph-covering problem. Experiment demonstrates that their algorithm can reduce the completion time of the applications compared with the previous approaches.