background: fanconi anemia (fa) is a rare, autosomal recessive (ar) and multifactorial disorder. a high prevalence of fa observed in iran is perhaps due to the high rate of consanguineous marriages. this study investigates the extent of short stature in patients with fa, the frequency of hypothyroidism in fa and the correlation between height and hypothyroidism.   methods: eighteen patients wit...

In this article, we prove that the height function associated with square-ice model (i.e. six-vertex $$a=b=c=1$$ on square lattice), or, equivalently, of uniform random homomorphisms from $$\mathbb {Z}^2$$ to {Z}$$ , has logarithmic variance. This establishes a strong form roughness function.