0·1. Conical domains

The aim of this paper is to improve the results of my previous work in the area [1]. Let us start by recalling some of the notations and definitions of [1].

Let Ω ⊂ ℝd be some convex open cone with vertex at 0 such that [emptyv ] &≠; Ω &≠; ℝd. Let u ∈ C(Ω) be the reduite, i.e.

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and let α = degΩ[ges ] 1 be the homogeneity degree of u. Let us consider the random walk

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controlled by some compactly supported measure

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that is centred with covarience = I, i.e.

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We then denote:

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