We prove that there are two minimal 1 classes that are not automorphic.

We work out the relation between automorphic forms on SO(2 + s, 2, Z) and gauge one–loop corrections of heterotic K3×T 2 string compactifications for the cases s = 0, 1. We find that one–loop gauge corrections of any orbifold limit of K3 can always be expressed by their instanton numbers and generic automorphic forms. These functions classify also one– loop gauge thresholds of N=1 (0, 2) hetero...

We focus on the presence of almost automorphy in strongly monotone skew-product semiflows Banach spaces. Under $C^1$-smoothness assumption, it is shown that any linearly stable minimal set must be automorphic. This extends celebrated result Shen and Yi [Mem. Amer. Math. Soc. 136(1998), No. 647] for classical $C^{1,\alpha}$-smooth systems. Based this, one can reduce regularity periodically force...

We prove that there are two minimal 0 1 classes that are not automorphic.