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, ...

Śl Polar Morse–Smale vector fields Let X G *(M), r = 1, be a polar Morse–Smale vector field. ... cycle of X. If M is a k—torus and X is a polar Morse–Smale vector field on M then X has 2k stable cycles which intersect each other at the source.

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 transport ...

Let g : C” – C and h: C” – C be polar weighted homogeneous polynomials. Consider the polynomial on C" X (C" defined by f(z,w) = g(z) –– h(w), which is also a polar weighted homogeneous polynomial (Example 2.6). Let x = f_1(1) C C” x C", ...

Jacques Azema, Michel Emery, Marc Yor. SOME POLAR SETS FOR THE BROWNIAN SHEET By DAVAR KHOSHNEVISAN * Department of Mathematics The University of Utah Salt Lake City , UT . 84112 , U.S.A. ...

Statement by Mr. Beernaert , Minister , in regard to the efforts made to give effect to the Resolution passed by the Polar Congress of 1906 , that an « International Polar Commission » should be organised . Demission of office by the President ...

The following theorems could be proven from this general equation in precisely the same manner as the corresponding ones are in plane analytical geometry : ( a ) If P lies on the polar of Q , then Q lies on the polar of P. ( b ) If a point P moves ...

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

If the globe were charged , these little conductors would all be polar ; if the globe were discharged , they would all return to their normal state to be polarized again upon the recharging of the globe . ” ( Faraday , Experimental Researches ...

... the roman policier archaïque, the whodunit, the roman noir and finally the neo- polar, and the second seeking to put into perspective the concepts of modernity and postmodernity. The focus then turns to three selected themes, which enables ...