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. ...

3 Madl dle roover o Alegre bound Pact so foret Laos Westdin dooloo bara pract Edullaert prox gewah long en hater betce gilliskakak so be Polar topa 1 3. Jo o + too O. 1 . 9.21 Хе 2 3 % M O 3 0 44121. de cover 13 0 . 5 . o 0 I. 66 3 0 . 0 0 . 6.

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 ...

Let r and O be polar coordinates for R " , 0 r < 0,0 eS " -1 ( the unit sphere in R " ) . A domain D in R " is a starlike domain ( with respect to the origin ) if there exists a function B : S " -1 → R , ß continuous and strictly positive , so that D = { re : 0 sr ...

the osculating plane of D , at Ai , and let C , be the osculating conic of r ' , having the contact of third order at An . Then in order that the polar line of A , with respect to C , and the polar line of A , with respect to C , are polar to each other with ...

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  ...