In 1988 Simpson extended the Donaldson–Uhlenbeck–Yau theorem to context of Higgs bundles, and as an application he proved a uniformization which characterizes complex projective manifolds quasi-projective curves whose universal coverings are unit balls. this paper we give necessary sufficient condition for be uniformized by This generalizes Simpson. Several byproducts also obtained in paper.

For every integer k > 2 let [k] 1 is a subset of [k]<N of the form {w} ∪ { ww0(a0) ...wn(an) : n ∈ {0, ...,m− 1} and a0, ..., an ∈ [k] } where w is a word over k and (wn) m−1 n=0 is a finite sequence of left variable words over k. We study the behavior of a family of measurable events in a probability space index...

the aim of this study is comparison of soil characteristics and biodiversity in plantation of bald cypress and caucasian alder forest stands in kludeh region (mazandaran province). in order to study biodiversity in forest stands and control region, 10 sample plots (releve) were selected and the name and abundance of plant species of the forest floor were recorded. biodiversity of herbal plants ...

The notion of flat $\lambda$-connections as the interpolation usual connections and Higgs fields was suggested by Deligne further studied Simpson. Mochizuki established Kobayashi--Hitchin-type theorem for $\lambda$-flat bundles ($\lambda\neq 0$), which is called correspondence. In this paper, on one hand, we generalize Mochizuki's result to case when base being a compact balanced manifold, more...

The full sibship reconstruction (FSR) problem is the problem of inferring all groups of full siblings from a given population sample using genetic marker data without parental information. The FSR problem remains a significant challenge for computational biology, since an exact solution for the problem has not been found. The new algorithm, named SIMPSON-assisted Descending Ratio (SDR), is devi...

In (Simpson 2003) A. Simpson introduced the category PreDom of topological predomains as a framework for denotational semantics containing also most classical spaces, namely all countably based T0 spaces. Countably based T0 spaces are isomorphic to subspaces of Pω where the latter is endowed with the Scott topology. A qcb space (as introduced in (Menni and Simpson 2002)) is a T0 space which app...

Objective Compare the number of recurrences in patients with WHO Grade I meningiomas that underwent microsurgical resection. Introduction In 1957 Simpson established five grades for surgical resection for intracranial meningiomas and recurrence rate. He thought that an aggressive removal of these tumors with dura and bone was necessary to cure them. Development of new diagnostic methods, adva...