Conformal and uniformizing maps in Borel analysis

Uniformizing Dessins and Bely I Maps via Circle Packing

Grothendieck's theory of Dessins d'Enfants involves combinatorially determined aane, reeective, and conformal structures on compact surfaces. In this paper the authors establish the rst general method for uniformizing these dessin surfaces and for approximating their associated Bely meromorphic functions. The paper begins by developing a discrete theory of dessins based on circle packing. This ...

Improved Conformal Mapping of the Borel Plane

The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory. We observe that the rate of convergence can be improved by the application of Padé approximants to the Borel transform expressed as a function of the co...

the stady and analysis of rice agroclimatology in lenjan

the west of esfahan province, iran, is one of the most important agricultural areas throughout the country due to the climate variability and life-giving water of zayanderood river. rice is one of the major and economic crops in this area. the most important climatic elements in agricultural activities which should be considered include temperature, relative humidity, precipitation and wind. so...

Conformal Maps and Minimal Surfaces

On open maps of Borel sets

We answer in the affirmative [Th. 3 or Corollary 1] the question of L. V. Keldysh [5, p. 648]: can every Borel set X lying in the space of irrational numbers P not Gδ · Fσ and of the second category in itself be mapped onto an arbitrary analytic set Y ⊂ P of the second category in itself by an open map? Note that under a space of the second category in itself Keldysh understood a Baire space. T...