While information systems became ever more complex and the interdependence of these systems increased, mission-critical services should be survivable even in the presence of cyber attacks or internal failures. Node replication can be used to protect a mission-critical system against faults that may occur naturally or be caused by malicious attackers. The overall reliability increases by the num...

in this short review we look at recent advances in schramm-loewner evolution (sle) theory and its application to critical phenomena. the application of sle goes beyond critical systems to other time dependent, scale invariant phenomena such as turbulence, sand-piles and watersheds. through the use of sle, the evolution of conformally invariant paths on the complex plane can be followed; hence a...

The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.