POLAR SETS OF SOME GAUSSIAN PROCESSES by MICHEL (JEBER. 1. INTRODUCTION . Let S be a bounded set of R", N=1, and consider X (., s) a centered gaussian process defined on S. Je associate to it the process (1) X* = ( X1, X2, . . . , Xa), ...

Śl Polar Morse–Smale vector fields Let X G *(M), r = 1, be a polar Morse–Smale vector field. The union of the stable manifold of a saddle of X and the source is a simple closed curve in M called a stable cycle of X. If M is a k—torus ...

Contributing further to the polar gradient of the bioelectric field may be the fact that conductivity is much greater up and down the stem than across the stem (HOPE and ROBERTSON 1953), and such conductivity might limit lateral ...

Join Theorem In the present section we generalise Oka's Join Theorem (9, Thm. 1, Thm. 2 for polar weighted homogeneous polynomials. As corollaries we recover some classical results and also we get some information about the homotopy ...

SOME POLAR SETS FOR THE BROWNIAN SHEET BY DAVAR KHOSHNEVISAN * Department of Mathematics The University of Utah Salt ... sets which are avoided by the path of W. In the language of Markov processes , such sets are said to be polar .

Let B be a relatively compact polar set, let vé o be such that v(p) = 0, and let u be an open set containing B. Then there is a measure u ę 7"(U) such that k u = * on B and s kudo * *. Proof. Without loss of generality it can be assumed ...

From ( 1 : b ) , if r and A be polar co - ordinates , we have r ( 12 ) = r ( 13 ) , and H ( 12 ) Since P pil , and 8 ( 73 ) cannot both be true if 7 , § 73 . U = cos 6 , for 0 < AS71 / 2 , we have P ( T ) = P ( 1 ) , and U ( 1 ...

It has for a long time been understood, pointed out first by Hertwig,1 that the protrusion of the polar globules is a process in certain respects homologous with segmentation, that the polar globules have the value of cells and arise by ...

Abbie ne se souvient de rien lorsqu'elle se réveille à l'hôpital.

Mais il faut demeurer d'accord qu'an Chirurgien qui n'auroit que cette Chirurgie pratique , maJeu auk qu'on e ques . bienEcates aigus on ci CUSTO re louis ces dei entus I do echen haben La grande Ang be polar nuelle & operative pour son ...