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The purpose of this paper is to provide an updated account of our study of stable subnorms on subsets of finite-dimensional power-associative algebras over F.. Our aim is to review
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
Applying Fourier analysis a new representation of the potential densities is derived from which we deduce asymptotic results and show how the atoms of the Lévy measure Π translate
An advantage of our proof is also its simplicity: thanks to a pathwise representation ` a la Doss- Sussmann, which was recently put into light by Errami-Russo-Vallois [3] (see
In a recent paper [1] a new duality relation for random walks was introduced, and at the end of that paper a brief mention was made of a corresponding result conjectured for
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 give a new representation of fractional Brownian motion with Hurst parameter H ≤ 1 2 using stochastic partial differential equations.. This representation allows us to use the
To obtain our explicit analytic series representation for the reduced eigenfunctions of Calogero– Sutherland type models with polynomial eigenfunctions we use a construction
