Following Kobayashi, we consider Griffiths negative complex Finsler bundles, naturally leading us to introduce extremal metrics. As point out, this notion is closely related the theory of interpolation norms, and characterized by an equation Monge–Ampère type, whose corresponding Dirichlet problem solve. applications, prove that metrics quantize solutions a natural PDE in Kähler geometry, const...

We study the critical and off-critical ~Griffiths-McCoy! regions of the random transverse-field Ising spin chain by analytical and numerical methods and by phenomenological scaling considerations. Here we extend previous investigations to surface quantities and to the ferromagnetic phase. The surface magnetization of the model is shown to be related to the surviving probability of an adsorbing ...