getdoc4c0a. 250KB Jun 04 2011 12:04:21 AM
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Let R be a semi-local Noetherian integral domain SUCH THAT ALL ITS residue fields ARE INFINITE of characteristic different from 2... Let k be an infinite perfect field of
(1) There seems to be a general principle that if an existence result about polynomials or n -tuples of polynomials over an infinite field can be proved by dimension counting, then
Both infinite and sequences of finite Toeplitz matrices are considered, and also studied is the finite section method, which consists in approximating infinite systems by large
As before, note that the existence of a flow with finite energy on the percolation cluster is a 0-1 event, so we can assume that 0 belongs to the infinite cluster. has
We prove that the Hausdorff dimension of the frontier equals 2(1 − α ) where α is an exponent for Brownian motion called the two-sided disconnection exponent.. In particular, using
The main strategy used in this paper is an approximation procedure by using a space-time polygonal interpolation for the white noise, and we particularly adopt a localization
In particular, we show that non-trivial correlation measures have unbounded support, and that Md has a certain convexity property.. Using this convexity property, we construct
The accuracy of our results depends primarily upon an inequality pertaining to the number of event recurrences, as given in Klass and Nowicki (2003), a corollary of which extends
